Discrete-time system conditional optimisation in the parameter space via the full transfer function matrix
Abstract
Dynamic systems operate under the simultaneous influence of both the initial conditions and the input vector. There is neither physical nor mathematical justification for ignoring the initial conditions, e.g., in the control optimisation. This paper gives a response to the following question: Is a set of controller parameters which is optimal for the operation of a control system under zero initial conditions also optimal for its operation under non-zero initial conditions? The paper presents a new approach to the design of a classical proportional-differencesum (PDS) controller for a plant in a closed loop control system. The system relative stability with respect to a desired damping coefficient is accomplished. The minimal value of the performance index in the form of the sum of squared errors is the optimality criterion. Unlike the classical approach, the output error used in the performance index is influenced by all actions performed on the system at the same time.
Keywords:
three parameters synthesis / relative stability / full transfer function matrix / discrete-time control systems / conditional stabilisation and optimisationSource:
Transactions of Famena, 2021, 45, 3, 45-62Publisher:
- Univ Zagreb Fac Mechanical Engineering & Naval Architecture, Zagreb
Funding / projects:
- An innovative ecologically based approach to implementation of intelligent manufacturing systems for production of sheet metal parts (RS-MESTD-Technological Development (TD or TR)-35004)
- Development of Methodology for Improvement of Operational Performance, Reliability and Energy Efficiency of Machine Systems used in the Resource Industry (RS-MESTD-Technological Development (TD or TR)-35029)
DOI: 10.21278/TOF.453014220
ISSN: 1333-1124
WoS: 000729574500004
Scopus: 2-s2.0-85118199122
Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Gruyitch, Lyubomir AU - Bučevac, Zoran M. AU - Jovanović, Radiša AU - Zarić, Vladimir PY - 2021 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3516 AB - Dynamic systems operate under the simultaneous influence of both the initial conditions and the input vector. There is neither physical nor mathematical justification for ignoring the initial conditions, e.g., in the control optimisation. This paper gives a response to the following question: Is a set of controller parameters which is optimal for the operation of a control system under zero initial conditions also optimal for its operation under non-zero initial conditions? The paper presents a new approach to the design of a classical proportional-differencesum (PDS) controller for a plant in a closed loop control system. The system relative stability with respect to a desired damping coefficient is accomplished. The minimal value of the performance index in the form of the sum of squared errors is the optimality criterion. Unlike the classical approach, the output error used in the performance index is influenced by all actions performed on the system at the same time. PB - Univ Zagreb Fac Mechanical Engineering & Naval Architecture, Zagreb T2 - Transactions of Famena T1 - Discrete-time system conditional optimisation in the parameter space via the full transfer function matrix EP - 62 IS - 3 SP - 45 VL - 45 DO - 10.21278/TOF.453014220 ER -
@article{ author = "Gruyitch, Lyubomir and Bučevac, Zoran M. and Jovanović, Radiša and Zarić, Vladimir", year = "2021", abstract = "Dynamic systems operate under the simultaneous influence of both the initial conditions and the input vector. There is neither physical nor mathematical justification for ignoring the initial conditions, e.g., in the control optimisation. This paper gives a response to the following question: Is a set of controller parameters which is optimal for the operation of a control system under zero initial conditions also optimal for its operation under non-zero initial conditions? The paper presents a new approach to the design of a classical proportional-differencesum (PDS) controller for a plant in a closed loop control system. The system relative stability with respect to a desired damping coefficient is accomplished. The minimal value of the performance index in the form of the sum of squared errors is the optimality criterion. Unlike the classical approach, the output error used in the performance index is influenced by all actions performed on the system at the same time.", publisher = "Univ Zagreb Fac Mechanical Engineering & Naval Architecture, Zagreb", journal = "Transactions of Famena", title = "Discrete-time system conditional optimisation in the parameter space via the full transfer function matrix", pages = "62-45", number = "3", volume = "45", doi = "10.21278/TOF.453014220" }
Gruyitch, L., Bučevac, Z. M., Jovanović, R.,& Zarić, V.. (2021). Discrete-time system conditional optimisation in the parameter space via the full transfer function matrix. in Transactions of Famena Univ Zagreb Fac Mechanical Engineering & Naval Architecture, Zagreb., 45(3), 45-62. https://doi.org/10.21278/TOF.453014220
Gruyitch L, Bučevac ZM, Jovanović R, Zarić V. Discrete-time system conditional optimisation in the parameter space via the full transfer function matrix. in Transactions of Famena. 2021;45(3):45-62. doi:10.21278/TOF.453014220 .
Gruyitch, Lyubomir, Bučevac, Zoran M., Jovanović, Radiša, Zarić, Vladimir, "Discrete-time system conditional optimisation in the parameter space via the full transfer function matrix" in Transactions of Famena, 45, no. 3 (2021):45-62, https://doi.org/10.21278/TOF.453014220 . .