Fractional calculus approach to modeling and control of (bio)mechanical systems
Apstrakt
Recently, an increasing attention has been paid to fractional calculus (FC) and its application in control and modeling of fractional order (bio)mechanical system. Fractional derivatives and integrals may have a wide application in describing complex properties of materials including long-term memory, non-locality of power law type and fractality [1]. In this presentation we applied the concept of fractional order for biomehanical modeling of human arm dynamics as well as soft tissues, specially human skin as well as human blood. Besides, it is also presented the connection between fractional order differintegral operators and behavior of the memsystems which can be used for modeling dynamics of (bio)mechanical systems. Further, we present robust
feedback-(feedforward) loop fractional-order iterative learning control [2] for regular and singular fractional order system. Particularly, a feedback-(feedforward) PDalpfa / PIbetaDalpfa type iterative learning control (ILC) of fractional or...der system- (regular and degenerate type) which includes time delay are considered [3]. Sufficient conditions for the convergence of a proposed PD alpha type of learning control algorithm for a class of fractional state space time delay system are given in time domain. Finally, a simulation results show the feasibility and effectiveness of the suggested approach.
Ključne reči:
Fractional Derivative / Biomechanical system / Iterative Learning Control / Singular System.Izvor:
Booklet of Abstracts of Mini-symposium "Biomechanics and Modelling of Biological Systems", Belgrade, December 7, 2016, 2016, 36-37Izdavač:
- University of Belgrade Mathematical Institute, Serbian Academy of Sciences and Arts
Finansiranje / projekti:
- Održivost i unapređenje mašinskih sistema u energetici i transportu primenom forenzičkog inženjerstva, eko i robust dizajna (RS-MESTD-Technological Development (TD or TR)-35006)
- Razvoj novih metoda i tehnika za ranu dijagnostiku kancera grlića materice, debelog creva, usne duplje i melanoma na bazi digitalne slike i ekscitaciono-emisionih spektara u vidljivom i infracrvenom domenu (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41006)
Kolekcije
Institucija/grupa
Mašinski fakultetTY - CONF AU - Lazarević, Mihailo PY - 2016 UR - https://machinery.mas.bg.ac.rs/handle/123456789/6572 AB - Recently, an increasing attention has been paid to fractional calculus (FC) and its application in control and modeling of fractional order (bio)mechanical system. Fractional derivatives and integrals may have a wide application in describing complex properties of materials including long-term memory, non-locality of power law type and fractality [1]. In this presentation we applied the concept of fractional order for biomehanical modeling of human arm dynamics as well as soft tissues, specially human skin as well as human blood. Besides, it is also presented the connection between fractional order differintegral operators and behavior of the memsystems which can be used for modeling dynamics of (bio)mechanical systems. Further, we present robust feedback-(feedforward) loop fractional-order iterative learning control [2] for regular and singular fractional order system. Particularly, a feedback-(feedforward) PDalpfa / PIbetaDalpfa type iterative learning control (ILC) of fractional order system- (regular and degenerate type) which includes time delay are considered [3]. Sufficient conditions for the convergence of a proposed PD alpha type of learning control algorithm for a class of fractional state space time delay system are given in time domain. Finally, a simulation results show the feasibility and effectiveness of the suggested approach. PB - University of Belgrade Mathematical Institute, Serbian Academy of Sciences and Arts C3 - Booklet of Abstracts of Mini-symposium "Biomechanics and Modelling of Biological Systems", Belgrade, December 7, 2016 T1 - Fractional calculus approach to modeling and control of (bio)mechanical systems EP - 37 SP - 36 UR - https://hdl.handle.net/21.15107/rcub_machinery_6572 ER -
@conference{ author = "Lazarević, Mihailo", year = "2016", abstract = "Recently, an increasing attention has been paid to fractional calculus (FC) and its application in control and modeling of fractional order (bio)mechanical system. Fractional derivatives and integrals may have a wide application in describing complex properties of materials including long-term memory, non-locality of power law type and fractality [1]. In this presentation we applied the concept of fractional order for biomehanical modeling of human arm dynamics as well as soft tissues, specially human skin as well as human blood. Besides, it is also presented the connection between fractional order differintegral operators and behavior of the memsystems which can be used for modeling dynamics of (bio)mechanical systems. Further, we present robust feedback-(feedforward) loop fractional-order iterative learning control [2] for regular and singular fractional order system. Particularly, a feedback-(feedforward) PDalpfa / PIbetaDalpfa type iterative learning control (ILC) of fractional order system- (regular and degenerate type) which includes time delay are considered [3]. Sufficient conditions for the convergence of a proposed PD alpha type of learning control algorithm for a class of fractional state space time delay system are given in time domain. Finally, a simulation results show the feasibility and effectiveness of the suggested approach.", publisher = "University of Belgrade Mathematical Institute, Serbian Academy of Sciences and Arts", journal = "Booklet of Abstracts of Mini-symposium "Biomechanics and Modelling of Biological Systems", Belgrade, December 7, 2016", title = "Fractional calculus approach to modeling and control of (bio)mechanical systems", pages = "37-36", url = "https://hdl.handle.net/21.15107/rcub_machinery_6572" }
Lazarević, M.. (2016). Fractional calculus approach to modeling and control of (bio)mechanical systems. in Booklet of Abstracts of Mini-symposium "Biomechanics and Modelling of Biological Systems", Belgrade, December 7, 2016 University of Belgrade Mathematical Institute, Serbian Academy of Sciences and Arts., 36-37. https://hdl.handle.net/21.15107/rcub_machinery_6572
Lazarević M. Fractional calculus approach to modeling and control of (bio)mechanical systems. in Booklet of Abstracts of Mini-symposium "Biomechanics and Modelling of Biological Systems", Belgrade, December 7, 2016. 2016;:36-37. https://hdl.handle.net/21.15107/rcub_machinery_6572 .
Lazarević, Mihailo, "Fractional calculus approach to modeling and control of (bio)mechanical systems" in Booklet of Abstracts of Mini-symposium "Biomechanics and Modelling of Biological Systems", Belgrade, December 7, 2016 (2016):36-37, https://hdl.handle.net/21.15107/rcub_machinery_6572 .