Fini disperzni sistemi: mikro-, nano-, ato-inženjerstvo

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Fini disperzni sistemi: mikro-, nano-, ato-inženjerstvo (en)
Фини дисперзни системи: микро-, нано-, ато-инжењерство (sr)
Fini disperzni sistemi: mikro-, nano-, ato-inženjerstvo (sr_RS)
Authors

Publications

PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process

Lazarević, Mihailo; Bučanović, Ljubiša; Spasić, Aleksandar

(Prague: Czech society of chemical engineering, 2010)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Bučanović, Ljubiša
AU  - Spasić, Aleksandar
PY  - 2010
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4992
AB  - The paper presents a new algorithm of control for the cryogenic production process of
technical gases. Cryogenics is the science and technology dealing with temperatures less than
120 K, although this summary does not adhere to a strict 120 K definition. New way to the
technical production of liquid air was introduced by C. Linde at the end of the nineteenth
century [1]. The successful simple and economical production of liquid air may be achieved
using the reversing heat exchangers, where damping from the higher down to the lower
pressure occurs. Production of liquid air at low pressure was first introduced in 1938 by the
Russian academician P. L. Kapica and includes production of liquid air at pressure
p2 = 6 ¸-7 bar and then its expansion in the gas turbine. Moreover, the expansion turbine in
the process of liquid air production was used for expansion of the air from the thermodynamic
state P (Pp,Tp)  to the state  K( (Pk,Tk=lowering when the air temperature decrease from Tp to
Tk and the pressure decrease from Pp to Pk . When the cold air expands in the turbine then the
heat losses arise due to the heat exchange with the environment. The amount of air that
expands in the gas turbine does not exceed 25% of the overall usable air [1, 2].
For application in the synthesis of control, input temperature, and the flow of air
expansion turbine, it is necessary to determine the appropriate linear parts of differential
equations of the building guidance as well as the procedural object in these differential
equations. These equations describe the work guidance part of the building which consists of
positionbody, pneumatic amplifier (booster volume), the pneumatic motor and work process,
i.e. the appropriate equation of state and output are given.
In recent years, fractional calculus has been applied in the modeling and control of various
kinds of physical systems, as it is well known and documented in many control theories or in
the literature data [3]. The fractional integro-differential operators-(fractional calculus) are a
generalization of integration and derivation to non-integer order (fractional) operators.
Recently, published results [4, 5] indicate that the use of a fractional-order PID controller can
improve both the stability and performance robustness of feedback control systems.
In this paper, a fractional order PID controller ( PIalpha Dbeta ) is used to control the production
process of technical gases. The objective of this work is to find out optimum settings for a fractional PIalpha Dbeta controller in order to fulfill different design specifications for the closed-loop system, taking advantage of the fractional orders, alpha and beta . Also, problem of discretization of proposed PIalpha Dbeta will be treated as a key step in digital implementation. This difficulty arises from the mathematical nature of fractional operators, which demand hard requirements of processors memory and velocity capacities.
PB  - Prague:  Czech society  of chemical engineering
C3  - Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.
T1  - PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process
EP  - 2
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4992
ER  - 
@conference{
author = "Lazarević, Mihailo and Bučanović, Ljubiša and Spasić, Aleksandar",
year = "2010",
abstract = "The paper presents a new algorithm of control for the cryogenic production process of
technical gases. Cryogenics is the science and technology dealing with temperatures less than
120 K, although this summary does not adhere to a strict 120 K definition. New way to the
technical production of liquid air was introduced by C. Linde at the end of the nineteenth
century [1]. The successful simple and economical production of liquid air may be achieved
using the reversing heat exchangers, where damping from the higher down to the lower
pressure occurs. Production of liquid air at low pressure was first introduced in 1938 by the
Russian academician P. L. Kapica and includes production of liquid air at pressure
p2 = 6 ¸-7 bar and then its expansion in the gas turbine. Moreover, the expansion turbine in
the process of liquid air production was used for expansion of the air from the thermodynamic
state P (Pp,Tp)  to the state  K( (Pk,Tk=lowering when the air temperature decrease from Tp to
Tk and the pressure decrease from Pp to Pk . When the cold air expands in the turbine then the
heat losses arise due to the heat exchange with the environment. The amount of air that
expands in the gas turbine does not exceed 25% of the overall usable air [1, 2].
For application in the synthesis of control, input temperature, and the flow of air
expansion turbine, it is necessary to determine the appropriate linear parts of differential
equations of the building guidance as well as the procedural object in these differential
equations. These equations describe the work guidance part of the building which consists of
positionbody, pneumatic amplifier (booster volume), the pneumatic motor and work process,
i.e. the appropriate equation of state and output are given.
In recent years, fractional calculus has been applied in the modeling and control of various
kinds of physical systems, as it is well known and documented in many control theories or in
the literature data [3]. The fractional integro-differential operators-(fractional calculus) are a
generalization of integration and derivation to non-integer order (fractional) operators.
Recently, published results [4, 5] indicate that the use of a fractional-order PID controller can
improve both the stability and performance robustness of feedback control systems.
In this paper, a fractional order PID controller ( PIalpha Dbeta ) is used to control the production
process of technical gases. The objective of this work is to find out optimum settings for a fractional PIalpha Dbeta controller in order to fulfill different design specifications for the closed-loop system, taking advantage of the fractional orders, alpha and beta . Also, problem of discretization of proposed PIalpha Dbeta will be treated as a key step in digital implementation. This difficulty arises from the mathematical nature of fractional operators, which demand hard requirements of processors memory and velocity capacities.",
publisher = "Prague:  Czech society  of chemical engineering",
journal = "Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.",
title = "PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process",
pages = "2-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4992"
}
Lazarević, M., Bučanović, L.,& Spasić, A.. (2010). PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process. in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.
Prague:  Czech society  of chemical engineering., 1-2.
https://hdl.handle.net/21.15107/rcub_machinery_4992
Lazarević M, Bučanović L, Spasić A. PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process. in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.. 2010;:1-2.
https://hdl.handle.net/21.15107/rcub_machinery_4992 .
Lazarević, Mihailo, Bučanović, Ljubiša, Spasić, Aleksandar, "PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process" in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010. (2010):1-2,
https://hdl.handle.net/21.15107/rcub_machinery_4992 .

Modeling of Human Skin Using Continuous Fractional Derivative Model-Frequency Domain

Vosika, Zoran; Lazarević, Mihailo; Lazović, Goran; Simić-Krstić, Jovana; Koruga, Đuro

(Slovakia: Technical University of Kosice, 2010)

TY  - CONF
AU  - Vosika, Zoran
AU  - Lazarević, Mihailo
AU  - Lazović, Goran
AU  - Simić-Krstić, Jovana
AU  - Koruga, Đuro
PY  - 2010
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4869
AB  - Bioelectro-mechanical properties of skin can be very valid data for analyzing fractal
characteristics of skin structure. In this paper, bioelectrical impedance method and fractional calculus have been utilized for the characterization of the human skin. Our fractional model presents the generalized continuous Cole model which may predicts structural – functional parameters as a lot of Cole complex relaxation times. It is shown, using the proposed model and experimental results, that these parameters depend on the fractional indexes as a degree of the fractional derivatives in interval (0, 1] . These relaxation time constants correspond to structural – functional characteristics of the skin. The integral approximation of continuous fractional Cole model was done from ten points corresponding to orderly connected known reduced Cole elements. It was observed that five reduced Cole elements had significant values of corresponding relaxation times. At last, advantages of the proposed model are discussed.
PB  - Slovakia: Technical University of Kosice
PB  - Spain: University of Extremadura
C3  - Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010
T1  - Modeling of Human Skin Using Continuous Fractional Derivative Model-Frequency Domain
EP  - 6
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4869
ER  - 
@conference{
author = "Vosika, Zoran and Lazarević, Mihailo and Lazović, Goran and Simić-Krstić, Jovana and Koruga, Đuro",
year = "2010",
abstract = "Bioelectro-mechanical properties of skin can be very valid data for analyzing fractal
characteristics of skin structure. In this paper, bioelectrical impedance method and fractional calculus have been utilized for the characterization of the human skin. Our fractional model presents the generalized continuous Cole model which may predicts structural – functional parameters as a lot of Cole complex relaxation times. It is shown, using the proposed model and experimental results, that these parameters depend on the fractional indexes as a degree of the fractional derivatives in interval (0, 1] . These relaxation time constants correspond to structural – functional characteristics of the skin. The integral approximation of continuous fractional Cole model was done from ten points corresponding to orderly connected known reduced Cole elements. It was observed that five reduced Cole elements had significant values of corresponding relaxation times. At last, advantages of the proposed model are discussed.",
publisher = "Slovakia: Technical University of Kosice, Spain: University of Extremadura",
journal = "Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010",
title = "Modeling of Human Skin Using Continuous Fractional Derivative Model-Frequency Domain",
pages = "6-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4869"
}
Vosika, Z., Lazarević, M., Lazović, G., Simić-Krstić, J.,& Koruga, Đ.. (2010). Modeling of Human Skin Using Continuous Fractional Derivative Model-Frequency Domain. in Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010
Slovakia: Technical University of Kosice., 1-6.
https://hdl.handle.net/21.15107/rcub_machinery_4869
Vosika Z, Lazarević M, Lazović G, Simić-Krstić J, Koruga Đ. Modeling of Human Skin Using Continuous Fractional Derivative Model-Frequency Domain. in Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010. 2010;:1-6.
https://hdl.handle.net/21.15107/rcub_machinery_4869 .
Vosika, Zoran, Lazarević, Mihailo, Lazović, Goran, Simić-Krstić, Jovana, Koruga, Đuro, "Modeling of Human Skin Using Continuous Fractional Derivative Model-Frequency Domain" in Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010 (2010):1-6,
https://hdl.handle.net/21.15107/rcub_machinery_4869 .

Iterative Learning Feedback Control for Nonlinear Fractional Order System-PDalpha Type

Lazarević, Mihailo

(Slovakia: Technical University of Kosice, 2010)

TY  - CONF
AU  - Lazarević, Mihailo
PY  - 2010
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4830
AB  - The paper presents a new algorithm for iterative learning control (ILC). For nonlinear fractional order system, it will be shown that using fractional-order (non-integer) derivative and tracking error, one can obtain a PDalpha-type ILC. Sufficient conditions for the convergence of a proposed type of learning control algorithm for a class of fractional state space nonlinear system are presented.
PB  - Slovakia: Technical University of Kosice
PB  - Spain: University of Extremadura
C3  - Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010
T1  - Iterative Learning Feedback Control for Nonlinear Fractional Order System-PDalpha Type
EP  - 5
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4830
ER  - 
@conference{
author = "Lazarević, Mihailo",
year = "2010",
abstract = "The paper presents a new algorithm for iterative learning control (ILC). For nonlinear fractional order system, it will be shown that using fractional-order (non-integer) derivative and tracking error, one can obtain a PDalpha-type ILC. Sufficient conditions for the convergence of a proposed type of learning control algorithm for a class of fractional state space nonlinear system are presented.",
publisher = "Slovakia: Technical University of Kosice, Spain: University of Extremadura",
journal = "Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010",
title = "Iterative Learning Feedback Control for Nonlinear Fractional Order System-PDalpha Type",
pages = "5-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4830"
}
Lazarević, M.. (2010). Iterative Learning Feedback Control for Nonlinear Fractional Order System-PDalpha Type. in Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010
Slovakia: Technical University of Kosice., 1-5.
https://hdl.handle.net/21.15107/rcub_machinery_4830
Lazarević M. Iterative Learning Feedback Control for Nonlinear Fractional Order System-PDalpha Type. in Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010. 2010;:1-5.
https://hdl.handle.net/21.15107/rcub_machinery_4830 .
Lazarević, Mihailo, "Iterative Learning Feedback Control for Nonlinear Fractional Order System-PDalpha Type" in Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010 (2010):1-5,
https://hdl.handle.net/21.15107/rcub_machinery_4830 .

Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach

Lazarević, Mihailo; Bučanović, Ljubiša; Spasić, Aleksandar

(Prague: Czech society of chemical engineering, 2010)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Bučanović, Ljubiša
AU  - Spasić, Aleksandar
PY  - 2010
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4993
AB  - In this paper, new stability criteria for this class of fractional order systems were derived by
applying generalized Gronwall inequality where robust finite-time stability analysis for a
class of perturbed nonlinear fractional order systems with time invariant delay was
considered. Sufficient conditions of this kind of stability are obtained for previously
considered fractional differential system given in state space form. In that way, one can check
system stability over finite time interval.
PB  - Prague:  Czech society  of chemical engineering
C3  - Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.
T1  - Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach
EP  - 15
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4993
ER  - 
@conference{
author = "Lazarević, Mihailo and Bučanović, Ljubiša and Spasić, Aleksandar",
year = "2010",
abstract = "In this paper, new stability criteria for this class of fractional order systems were derived by
applying generalized Gronwall inequality where robust finite-time stability analysis for a
class of perturbed nonlinear fractional order systems with time invariant delay was
considered. Sufficient conditions of this kind of stability are obtained for previously
considered fractional differential system given in state space form. In that way, one can check
system stability over finite time interval.",
publisher = "Prague:  Czech society  of chemical engineering",
journal = "Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.",
title = "Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach",
pages = "15-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4993"
}
Lazarević, M., Bučanović, L.,& Spasić, A.. (2010). Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach. in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.
Prague:  Czech society  of chemical engineering., 1-15.
https://hdl.handle.net/21.15107/rcub_machinery_4993
Lazarević M, Bučanović L, Spasić A. Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach. in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.. 2010;:1-15.
https://hdl.handle.net/21.15107/rcub_machinery_4993 .
Lazarević, Mihailo, Bučanović, Ljubiša, Spasić, Aleksandar, "Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach" in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010. (2010):1-15,
https://hdl.handle.net/21.15107/rcub_machinery_4993 .

Colloid electrohydrodynamics

Spasić, Aleksandar M.; Lazarević, Mihailo; Mitrović, Milan V.; Krstić, Dimitrije N.

(Savez hemijskih inženjera, Beograd, 2009)

TY  - JOUR
AU  - Spasić, Aleksandar M.
AU  - Lazarević, Mihailo
AU  - Mitrović, Milan V.
AU  - Krstić, Dimitrije N.
PY  - 2009
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/974
AB  - This brief extracted review presents the recent development in basic and applied science and engineering of finely dispersed particles and related systems in general, but more profound and in-depth treatise are related to the liquid-liquid finely dispersed systems, i.e. emulsions and double emulsions. Twenty-five years ago, the idea, at first very fogy, came out from the pilot plant experiments related to the extraction Of uranium from wet phosphoric acid. In particular the solution of the entrainment problems, breaking of emulsions/double emulsions, as the succession of the extraction and stripping operations/processes, was performed In this pilot plant, secondary liquid-liquid phase separation loop was designed and carried out. The loop consisted of a lamellar coalescer and four flotation cells in series. Central equipment in the loop, relevant to this investigation, was the lamellar coalescer. The phase separation in this equipment is based on the action of external forces of mechanical and/or electrical origin, while adhesive processes at the inclined filling plates occur. Since many of related processes, e.g. adhesive processes, rupture processes and coalescence, were not very well understood, deeper research of these events and phenomena was a real scientific challenge.
PB  - Savez hemijskih inženjera, Beograd
T2  - Hemijska Industrija
T1  - Colloid electrohydrodynamics
EP  - 527
IS  - 5
SP  - 511
VL  - 63
DO  - 10.2298/HEMIND0905511S
ER  - 
@article{
author = "Spasić, Aleksandar M. and Lazarević, Mihailo and Mitrović, Milan V. and Krstić, Dimitrije N.",
year = "2009",
abstract = "This brief extracted review presents the recent development in basic and applied science and engineering of finely dispersed particles and related systems in general, but more profound and in-depth treatise are related to the liquid-liquid finely dispersed systems, i.e. emulsions and double emulsions. Twenty-five years ago, the idea, at first very fogy, came out from the pilot plant experiments related to the extraction Of uranium from wet phosphoric acid. In particular the solution of the entrainment problems, breaking of emulsions/double emulsions, as the succession of the extraction and stripping operations/processes, was performed In this pilot plant, secondary liquid-liquid phase separation loop was designed and carried out. The loop consisted of a lamellar coalescer and four flotation cells in series. Central equipment in the loop, relevant to this investigation, was the lamellar coalescer. The phase separation in this equipment is based on the action of external forces of mechanical and/or electrical origin, while adhesive processes at the inclined filling plates occur. Since many of related processes, e.g. adhesive processes, rupture processes and coalescence, were not very well understood, deeper research of these events and phenomena was a real scientific challenge.",
publisher = "Savez hemijskih inženjera, Beograd",
journal = "Hemijska Industrija",
title = "Colloid electrohydrodynamics",
pages = "527-511",
number = "5",
volume = "63",
doi = "10.2298/HEMIND0905511S"
}
Spasić, A. M., Lazarević, M., Mitrović, M. V.,& Krstić, D. N.. (2009). Colloid electrohydrodynamics. in Hemijska Industrija
Savez hemijskih inženjera, Beograd., 63(5), 511-527.
https://doi.org/10.2298/HEMIND0905511S
Spasić AM, Lazarević M, Mitrović MV, Krstić DN. Colloid electrohydrodynamics. in Hemijska Industrija. 2009;63(5):511-527.
doi:10.2298/HEMIND0905511S .
Spasić, Aleksandar M., Lazarević, Mihailo, Mitrović, Milan V., Krstić, Dimitrije N., "Colloid electrohydrodynamics" in Hemijska Industrija, 63, no. 5 (2009):511-527,
https://doi.org/10.2298/HEMIND0905511S . .
1
6

Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach

Lazarević, Mihailo; Spasić, Aleksandar M.

(Pergamon-Elsevier Science Ltd, Oxford, 2009)

TY  - JOUR
AU  - Lazarević, Mihailo
AU  - Spasić, Aleksandar M.
PY  - 2009
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/959
AB  - In this paper, a stability test procedure is proposed for linear nonhomogeneous fractional order systems with a pure time delay. Some basic results from the area of finite time and practical stability are extended to linear, continuous, fractional order time-delay systems given in state-space form. Sufficient conditions of this kind of stability are derived for particular class of fractional time-delay systems. A numerical example is given to illustrate the validity of the proposed procedure.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - Mathematical and Computer Modelling
T1  - Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
EP  - 481
IS  - 3-4
SP  - 475
VL  - 49
DO  - 10.1016/j.mcm.2008.09.011
ER  - 
@article{
author = "Lazarević, Mihailo and Spasić, Aleksandar M.",
year = "2009",
abstract = "In this paper, a stability test procedure is proposed for linear nonhomogeneous fractional order systems with a pure time delay. Some basic results from the area of finite time and practical stability are extended to linear, continuous, fractional order time-delay systems given in state-space form. Sufficient conditions of this kind of stability are derived for particular class of fractional time-delay systems. A numerical example is given to illustrate the validity of the proposed procedure.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "Mathematical and Computer Modelling",
title = "Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach",
pages = "481-475",
number = "3-4",
volume = "49",
doi = "10.1016/j.mcm.2008.09.011"
}
Lazarević, M.,& Spasić, A. M.. (2009). Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach. in Mathematical and Computer Modelling
Pergamon-Elsevier Science Ltd, Oxford., 49(3-4), 475-481.
https://doi.org/10.1016/j.mcm.2008.09.011
Lazarević M, Spasić AM. Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach. in Mathematical and Computer Modelling. 2009;49(3-4):475-481.
doi:10.1016/j.mcm.2008.09.011 .
Lazarević, Mihailo, Spasić, Aleksandar M., "Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach" in Mathematical and Computer Modelling, 49, no. 3-4 (2009):475-481,
https://doi.org/10.1016/j.mcm.2008.09.011 . .
271
149
295

Iterative learning feedback control algorithms of PIalpha Dbeta type in process control systems

Lazarević, Mihailo; Spasić, Aleksandar; Bučanović, Ljubiša; Krsitć, Dimitrije

(Prague: Czech society of chemical engineering, 2008)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Spasić, Aleksandar
AU  - Bučanović, Ljubiša
AU  - Krsitć, Dimitrije
PY  - 2008
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5220
AB  - In this paper, a PIalphaD beta type of iterative learning feedback control is proposed for class -
fractional linear time invariant system. The learning control scheme comprises two types of
control laws: a PDalpha feedback law and a PIalphaDbeta feed-forward control law.A sufficient
condition for convergence of a proposed ILC will be given by the theorem and proved.Using
feedback loop, the PDalpha controller provides better stability of the system and keeps its state
errors within uniform bounds.
PB  - Prague:  Czech society  of chemical engineering
C3  - Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic
T1  - Iterative learning feedback control algorithms of PIalpha Dbeta type in process control systems
EP  - 8
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5220
ER  - 
@conference{
author = "Lazarević, Mihailo and Spasić, Aleksandar and Bučanović, Ljubiša and Krsitć, Dimitrije",
year = "2008",
abstract = "In this paper, a PIalphaD beta type of iterative learning feedback control is proposed for class -
fractional linear time invariant system. The learning control scheme comprises two types of
control laws: a PDalpha feedback law and a PIalphaDbeta feed-forward control law.A sufficient
condition for convergence of a proposed ILC will be given by the theorem and proved.Using
feedback loop, the PDalpha controller provides better stability of the system and keeps its state
errors within uniform bounds.",
publisher = "Prague:  Czech society  of chemical engineering",
journal = "Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic",
title = "Iterative learning feedback control algorithms of PIalpha Dbeta type in process control systems",
pages = "8-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5220"
}
Lazarević, M., Spasić, A., Bučanović, L.,& Krsitć, D.. (2008). Iterative learning feedback control algorithms of PIalpha Dbeta type in process control systems. in Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic
Prague:  Czech society  of chemical engineering., 1-8.
https://hdl.handle.net/21.15107/rcub_machinery_5220
Lazarević M, Spasić A, Bučanović L, Krsitć D. Iterative learning feedback control algorithms of PIalpha Dbeta type in process control systems. in Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic. 2008;:1-8.
https://hdl.handle.net/21.15107/rcub_machinery_5220 .
Lazarević, Mihailo, Spasić, Aleksandar, Bučanović, Ljubiša, Krsitć, Dimitrije, "Iterative learning feedback control algorithms of PIalpha Dbeta type in process control systems" in Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic (2008):1-8,
https://hdl.handle.net/21.15107/rcub_machinery_5220 .

Application of fractional calculus to the electroviscoelastic behaviour of liquid/liquid interfaces

Lazarević, Mihailo; Spasić, Aleksandar; Bučanović, Ljubiša; Krstić, Dimitrije

(Prague: Czech society of chemical engineering, 2008)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Spasić, Aleksandar
AU  - Bučanović, Ljubiša
AU  - Krstić, Dimitrije
PY  - 2008
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5183
AB  - Using fractional-order alpha  (0,1) , capacitive and inductive elements one can obtain linear
and/or nonlinear fractional integral-differential equation of the van der Pol type, i.e. more
generalized mathematical formalism for description of the electroviscoelastic behavior of
liquid/liquid interfaces e.g. in finely dispersed systems, emulsions or double emulsions. First,
in this paper, it is obtained nonlinear van der Pol model applying (alpha,beta ) order and variable
order approach, alpha =alpha (t) . Also,it is proposed applying generalized differential transform
method using Caputo definition of fractional operators to obtain a analytical homogeneous
solution of a linear equation of van der Pol model of non-integer order. Finally, it is proposed
numerical algorithm using approximation of Caputo derivative for calculating the corresponding
homogeneous solution of linear fractional differential equation of the van der Pol type.
PB  - Prague:  Czech society  of chemical engineering
C3  - Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic
T1  - Application of fractional calculus to the electroviscoelastic behaviour of liquid/liquid interfaces
EP  - 9
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5183
ER  - 
@conference{
author = "Lazarević, Mihailo and Spasić, Aleksandar and Bučanović, Ljubiša and Krstić, Dimitrije",
year = "2008",
abstract = "Using fractional-order alpha  (0,1) , capacitive and inductive elements one can obtain linear
and/or nonlinear fractional integral-differential equation of the van der Pol type, i.e. more
generalized mathematical formalism for description of the electroviscoelastic behavior of
liquid/liquid interfaces e.g. in finely dispersed systems, emulsions or double emulsions. First,
in this paper, it is obtained nonlinear van der Pol model applying (alpha,beta ) order and variable
order approach, alpha =alpha (t) . Also,it is proposed applying generalized differential transform
method using Caputo definition of fractional operators to obtain a analytical homogeneous
solution of a linear equation of van der Pol model of non-integer order. Finally, it is proposed
numerical algorithm using approximation of Caputo derivative for calculating the corresponding
homogeneous solution of linear fractional differential equation of the van der Pol type.",
publisher = "Prague:  Czech society  of chemical engineering",
journal = "Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic",
title = "Application of fractional calculus to the electroviscoelastic behaviour of liquid/liquid interfaces",
pages = "9-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5183"
}
Lazarević, M., Spasić, A., Bučanović, L.,& Krstić, D.. (2008). Application of fractional calculus to the electroviscoelastic behaviour of liquid/liquid interfaces. in Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic
Prague:  Czech society  of chemical engineering., 1-9.
https://hdl.handle.net/21.15107/rcub_machinery_5183
Lazarević M, Spasić A, Bučanović L, Krstić D. Application of fractional calculus to the electroviscoelastic behaviour of liquid/liquid interfaces. in Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic. 2008;:1-9.
https://hdl.handle.net/21.15107/rcub_machinery_5183 .
Lazarević, Mihailo, Spasić, Aleksandar, Bučanović, Ljubiša, Krstić, Dimitrije, "Application of fractional calculus to the electroviscoelastic behaviour of liquid/liquid interfaces" in Proceedings of  18th International Congress of Chemical and Process Engineering 24th - 28th August 2008, Prague - Czech Republic (2008):1-9,
https://hdl.handle.net/21.15107/rcub_machinery_5183 .

Determination of kinematic characteristics of the robot segments using properties of matrix transformations, versor and quaternion

Lazarević, Mihailo

(Belgrade: ETRAN Society, 2007)

TY  - CONF
AU  - Lazarević, Mihailo
PY  - 2007
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5353
AB  - U ovom radu prikazan je postupak odredjivanja kinematičkih karakteristika uočenog robotskog segmenta - slučaj obrtanja oko nepomične tačkena osnovu osobina matrice transformacije. Takodje je u postupku odredjivanja traženih veličina primenjen pristup pomoću “vektora konačne
rotacije”-verzora i kvateriona. Na pogodno odabranim primerima pokazano je da se ovim omogućuje jednostavnije i brže odredjivanje istih veličina jer ih je moguće odrediti u simboličkom obliku što je ovde realizovano korišćenjem Simboličkog toolboxa- MATLAB-a.
PB  - Belgrade: ETRAN Society
C3  - Zbornik radova 51. Konferencije za ETRAN, Herceg Novi – Igalo, 4-8. juna 2007
T1  - Determination of kinematic characteristics of the robot segments using properties of matrix transformations, versor and quaternion
EP  - 4
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5353
ER  - 
@conference{
author = "Lazarević, Mihailo",
year = "2007",
abstract = "U ovom radu prikazan je postupak odredjivanja kinematičkih karakteristika uočenog robotskog segmenta - slučaj obrtanja oko nepomične tačkena osnovu osobina matrice transformacije. Takodje je u postupku odredjivanja traženih veličina primenjen pristup pomoću “vektora konačne
rotacije”-verzora i kvateriona. Na pogodno odabranim primerima pokazano je da se ovim omogućuje jednostavnije i brže odredjivanje istih veličina jer ih je moguće odrediti u simboličkom obliku što je ovde realizovano korišćenjem Simboličkog toolboxa- MATLAB-a.",
publisher = "Belgrade: ETRAN Society",
journal = "Zbornik radova 51. Konferencije za ETRAN, Herceg Novi – Igalo, 4-8. juna 2007",
title = "Determination of kinematic characteristics of the robot segments using properties of matrix transformations, versor and quaternion",
pages = "4-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5353"
}
Lazarević, M.. (2007). Determination of kinematic characteristics of the robot segments using properties of matrix transformations, versor and quaternion. in Zbornik radova 51. Konferencije za ETRAN, Herceg Novi – Igalo, 4-8. juna 2007
Belgrade: ETRAN Society., 1-4.
https://hdl.handle.net/21.15107/rcub_machinery_5353
Lazarević M. Determination of kinematic characteristics of the robot segments using properties of matrix transformations, versor and quaternion. in Zbornik radova 51. Konferencije za ETRAN, Herceg Novi – Igalo, 4-8. juna 2007. 2007;:1-4.
https://hdl.handle.net/21.15107/rcub_machinery_5353 .
Lazarević, Mihailo, "Determination of kinematic characteristics of the robot segments using properties of matrix transformations, versor and quaternion" in Zbornik radova 51. Konferencije za ETRAN, Herceg Novi – Igalo, 4-8. juna 2007 (2007):1-4,
https://hdl.handle.net/21.15107/rcub_machinery_5353 .

Electroviscoelasticity of Liquid/Liquid Interfaces: Fractional Order Van der Pol Model – New Results

Lazarević, Mihailo; Spasić, Aleksandar

(Belgrade: Serbian Society of Mechanics, 2007)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Spasić, Aleksandar
PY  - 2007
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5330
AB  - A new, recently developed, theory of electroviscoelasticity describes the behavior of electrified liquid-liquid interfaces in fine dispersed systems, and is based on a new constitutive model of liquids. The behavior of e.g., liquid/liquid interfaces is based on three forms of «instabilities», these are rigid,elastic and plastic. Three possible mathematical formalisms have been considered related to this physical formalism,i.e. to the theory of electroviscoelasticity: the first is tension tensor model, the second is Van der Pol derivative model and  the third model is fractional order Van der Pol derivative model. The third model presents an effort to generalize the previous Van der Pol equation using fractional integro-differential operators (fractional calculus). 
       In this paper, central parts of  presentation will be  solution using Caputo definition of fractional operators to obtain a (non)homogeneous solution of a (nonlinear)/linearized equation of fractional order Van der Pol model that represents the initial electromagnetic oscillation at the electroviscoelastic liquid/liquid interface.Specially, it will be discussed a case of low fractionality i.e the order of fractional derivative p slightly deviates from an integer  value n. Finally, it is proposed numerical algorithm using a predictor-corrector approach for calculating corresponding homogeneous solution of nonlinear differential equation of the Van der Pol type.
PB  - Belgrade: Serbian Society of Mechanics
C3  - Proceedings of 1st International Congress of Serbian Society of Mechanics,10- 13, April,Kopaonik, 2007
T1  - Electroviscoelasticity of Liquid/Liquid Interfaces: Fractional Order Van der Pol Model – New Results
EP  - 118
SP  - 109
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5330
ER  - 
@conference{
author = "Lazarević, Mihailo and Spasić, Aleksandar",
year = "2007",
abstract = "A new, recently developed, theory of electroviscoelasticity describes the behavior of electrified liquid-liquid interfaces in fine dispersed systems, and is based on a new constitutive model of liquids. The behavior of e.g., liquid/liquid interfaces is based on three forms of «instabilities», these are rigid,elastic and plastic. Three possible mathematical formalisms have been considered related to this physical formalism,i.e. to the theory of electroviscoelasticity: the first is tension tensor model, the second is Van der Pol derivative model and  the third model is fractional order Van der Pol derivative model. The third model presents an effort to generalize the previous Van der Pol equation using fractional integro-differential operators (fractional calculus). 
       In this paper, central parts of  presentation will be  solution using Caputo definition of fractional operators to obtain a (non)homogeneous solution of a (nonlinear)/linearized equation of fractional order Van der Pol model that represents the initial electromagnetic oscillation at the electroviscoelastic liquid/liquid interface.Specially, it will be discussed a case of low fractionality i.e the order of fractional derivative p slightly deviates from an integer  value n. Finally, it is proposed numerical algorithm using a predictor-corrector approach for calculating corresponding homogeneous solution of nonlinear differential equation of the Van der Pol type.",
publisher = "Belgrade: Serbian Society of Mechanics",
journal = "Proceedings of 1st International Congress of Serbian Society of Mechanics,10- 13, April,Kopaonik, 2007",
title = "Electroviscoelasticity of Liquid/Liquid Interfaces: Fractional Order Van der Pol Model – New Results",
pages = "118-109",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5330"
}
Lazarević, M.,& Spasić, A.. (2007). Electroviscoelasticity of Liquid/Liquid Interfaces: Fractional Order Van der Pol Model – New Results. in Proceedings of 1st International Congress of Serbian Society of Mechanics,10- 13, April,Kopaonik, 2007
Belgrade: Serbian Society of Mechanics., 109-118.
https://hdl.handle.net/21.15107/rcub_machinery_5330
Lazarević M, Spasić A. Electroviscoelasticity of Liquid/Liquid Interfaces: Fractional Order Van der Pol Model – New Results. in Proceedings of 1st International Congress of Serbian Society of Mechanics,10- 13, April,Kopaonik, 2007. 2007;:109-118.
https://hdl.handle.net/21.15107/rcub_machinery_5330 .
Lazarević, Mihailo, Spasić, Aleksandar, "Electroviscoelasticity of Liquid/Liquid Interfaces: Fractional Order Van der Pol Model – New Results" in Proceedings of 1st International Congress of Serbian Society of Mechanics,10- 13, April,Kopaonik, 2007 (2007):109-118,
https://hdl.handle.net/21.15107/rcub_machinery_5330 .

A new approach to the phenomena at the interfaces of finely dispersed systems

Spasić, Aleksandar M.; Lazarević, Mihailo

(Academic Press Inc Elsevier Science, San Diego, 2007)

TY  - JOUR
AU  - Spasić, Aleksandar M.
AU  - Lazarević, Mihailo
PY  - 2007
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/719
AB  - A new idea has been applied for the elucidation of the electron and momentum transfer phenomena, at both rigid and deformable interfaces, in finely (micro-, nano-, atto-) dispersed systems. The electroviscoelastic behavior of, e.g., liquid/liquid interfaces (emulsions and double emulsions), is based on three forms of "instabilities"; these are rigid, elastic, and plastic. The events are understood as interactions between the internal (immanent) and external (incident) periodical physical fields. Since the events at the interfaces of finely dispersed systems must be considered at the molecular, atomic, and/or entities level it is inevitable to introduce the electron transfer phenomenon beside the classical heat, mass, and momentum transfer phenomena commonly used in chemical engineering. Therefore, an entity can be defined as the smallest indivisible element of matter that is related to the particular transfer phenomena. Hence, the entity can be either differential element of mass/demon, ion, phonon as quanta of acoustic energy, infon as quanta of information, photon, and electron. Three possible mathematical formalisms have been derived and discussed related to this physical formalism, i.e., to the developed theory of electroviscoelasticity. The first is the stretching tensor model, where the normal and tangential forces are considered, only in mathematical formalism, regardless of their origin (mechanical and/or electrical). The second is the classical integer-order van der Pol derivative model. Finally, the third model comprises an effort to generalize the previous van der Pol differential equations, both linear and nonlinear, where the ordinary time derivatives and integrals are replaced by corresponding fractional-order time derivatives and integrals of order p  lt  2 (p = n-delta, n = 1, 2, delta  lt  lt  1). In order to justify and corroborate a more general approach the obtained calculated results were compared to those experimentally measured using the representative liquid/liquid system.
PB  - Academic Press Inc Elsevier Science, San Diego
T2  - Journal of Colloid and Interface Science
T1  - A new approach to the phenomena at the interfaces of finely dispersed systems
EP  - 995
IS  - 2
SP  - 984
VL  - 316
DO  - 10.1016/j.jcis.2007.07.051
ER  - 
@article{
author = "Spasić, Aleksandar M. and Lazarević, Mihailo",
year = "2007",
abstract = "A new idea has been applied for the elucidation of the electron and momentum transfer phenomena, at both rigid and deformable interfaces, in finely (micro-, nano-, atto-) dispersed systems. The electroviscoelastic behavior of, e.g., liquid/liquid interfaces (emulsions and double emulsions), is based on three forms of "instabilities"; these are rigid, elastic, and plastic. The events are understood as interactions between the internal (immanent) and external (incident) periodical physical fields. Since the events at the interfaces of finely dispersed systems must be considered at the molecular, atomic, and/or entities level it is inevitable to introduce the electron transfer phenomenon beside the classical heat, mass, and momentum transfer phenomena commonly used in chemical engineering. Therefore, an entity can be defined as the smallest indivisible element of matter that is related to the particular transfer phenomena. Hence, the entity can be either differential element of mass/demon, ion, phonon as quanta of acoustic energy, infon as quanta of information, photon, and electron. Three possible mathematical formalisms have been derived and discussed related to this physical formalism, i.e., to the developed theory of electroviscoelasticity. The first is the stretching tensor model, where the normal and tangential forces are considered, only in mathematical formalism, regardless of their origin (mechanical and/or electrical). The second is the classical integer-order van der Pol derivative model. Finally, the third model comprises an effort to generalize the previous van der Pol differential equations, both linear and nonlinear, where the ordinary time derivatives and integrals are replaced by corresponding fractional-order time derivatives and integrals of order p  lt  2 (p = n-delta, n = 1, 2, delta  lt  lt  1). In order to justify and corroborate a more general approach the obtained calculated results were compared to those experimentally measured using the representative liquid/liquid system.",
publisher = "Academic Press Inc Elsevier Science, San Diego",
journal = "Journal of Colloid and Interface Science",
title = "A new approach to the phenomena at the interfaces of finely dispersed systems",
pages = "995-984",
number = "2",
volume = "316",
doi = "10.1016/j.jcis.2007.07.051"
}
Spasić, A. M.,& Lazarević, M.. (2007). A new approach to the phenomena at the interfaces of finely dispersed systems. in Journal of Colloid and Interface Science
Academic Press Inc Elsevier Science, San Diego., 316(2), 984-995.
https://doi.org/10.1016/j.jcis.2007.07.051
Spasić AM, Lazarević M. A new approach to the phenomena at the interfaces of finely dispersed systems. in Journal of Colloid and Interface Science. 2007;316(2):984-995.
doi:10.1016/j.jcis.2007.07.051 .
Spasić, Aleksandar M., Lazarević, Mihailo, "A new approach to the phenomena at the interfaces of finely dispersed systems" in Journal of Colloid and Interface Science, 316, no. 2 (2007):984-995,
https://doi.org/10.1016/j.jcis.2007.07.051 . .
6
6
9

Fractional calculus in application to theory of electroviscoelasticity

Lazarević, Mihailo; Spasić, Aleksandar

(Univerzitet u Novom Sadu Građevinski fakultet Subotica, 2006)

TY  - CONF
AU  - Lazarević, Mihailo
AU  - Spasić, Aleksandar
PY  - 2006
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5348
AB  - In this paper it is presented a new theory of electroviscoelasticity which describes the
behavior of electrified liquid-liquid interfaces in fine dispersed systems. It is based on a
new constitutive model of liquids: fractional order model (generalized the Van der Pol
equation) with corresponding fractional-order time derivative and integral of order p <
1,linear and nonlinear case.
PB  - Univerzitet u Novom Sadu Građevinski fakultet Subotica
C3  - Zbornik radova Gradjevinskog fakulteta- Medjunarodne konferencije Savremeni problemi u gradjevinarstvu,  Subotica, Jun, 2006
T1  - Fractional calculus in application to theory of electroviscoelasticity
EP  - 6
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5348
ER  - 
@conference{
author = "Lazarević, Mihailo and Spasić, Aleksandar",
year = "2006",
abstract = "In this paper it is presented a new theory of electroviscoelasticity which describes the
behavior of electrified liquid-liquid interfaces in fine dispersed systems. It is based on a
new constitutive model of liquids: fractional order model (generalized the Van der Pol
equation) with corresponding fractional-order time derivative and integral of order p <
1,linear and nonlinear case.",
publisher = "Univerzitet u Novom Sadu Građevinski fakultet Subotica",
journal = "Zbornik radova Gradjevinskog fakulteta- Medjunarodne konferencije Savremeni problemi u gradjevinarstvu,  Subotica, Jun, 2006",
title = "Fractional calculus in application to theory of electroviscoelasticity",
pages = "6-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5348"
}
Lazarević, M.,& Spasić, A.. (2006). Fractional calculus in application to theory of electroviscoelasticity. in Zbornik radova Gradjevinskog fakulteta- Medjunarodne konferencije Savremeni problemi u gradjevinarstvu,  Subotica, Jun, 2006
Univerzitet u Novom Sadu Građevinski fakultet Subotica., 1-6.
https://hdl.handle.net/21.15107/rcub_machinery_5348
Lazarević M, Spasić A. Fractional calculus in application to theory of electroviscoelasticity. in Zbornik radova Gradjevinskog fakulteta- Medjunarodne konferencije Savremeni problemi u gradjevinarstvu,  Subotica, Jun, 2006. 2006;:1-6.
https://hdl.handle.net/21.15107/rcub_machinery_5348 .
Lazarević, Mihailo, Spasić, Aleksandar, "Fractional calculus in application to theory of electroviscoelasticity" in Zbornik radova Gradjevinskog fakulteta- Medjunarodne konferencije Savremeni problemi u gradjevinarstvu,  Subotica, Jun, 2006 (2006):1-6,
https://hdl.handle.net/21.15107/rcub_machinery_5348 .