Recent results on advanced control and stability issues of fractional-order dynamical systems
Апстракт
Recently, fractional calculus has attracted the increased attention of scientific society where fractional operators are often used for complex dynamical systems. Iterative learning control (ILC) is one of the recent topics in control theories and it is a powerful intelligent control concept that iteratively improves the behavior of processes that are repetitive in nature. Here, we present recently obtained results as well as new results on open-closed loop type ILC, for a given class of integer order and fractional order regular systems. We discuss PIDD2/ PID,PD2Dα,PDα/PD types ILC, particularly ILC schemes with Dα type which is more flexible for practical implementation. Sufficient conditions for the convergence in the time domain of the proposed ILC for a class of fractional and integer order systems are given by the corresponding theorems together with its proof. Finally, the simulation results, including an application to the suitable robot system and Neuro-Arm robot, are presente...d to illustrate the performance of the proposed ILC schemes.
Also, some attention will be devoted to the finite-time stability/stabilization problem of fractional-order (uncertain) neutral time-delay systems. By use of the generalized Gronwall inequality and its extended form, new sufficient conditions for finite-time stability of such systems are obtained. Finally, numerical examples are given to illustrate the effectiveness and applicability of the proposed theoretical results.
Кључне речи:
robot control / stability / fractional order / neutral time delay / iterative learning controlИзвор:
Book of abstracts: 1st International Conference on Mathematical Modelling in Mechanics and Engineering Mathematical Institute SANU, 08-10. September, 2022, 18-18, 2022Издавач:
- Univerzitet u Beogradu, Mašinski fakultet
Финансирање / пројекти:
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200105 (Универзитет у Београду, Машински факултет) (RS-MESTD-inst-2020-200105)
Напомена:
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Lazarević, Mihailo PY - 2022 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4085 AB - Recently, fractional calculus has attracted the increased attention of scientific society where fractional operators are often used for complex dynamical systems. Iterative learning control (ILC) is one of the recent topics in control theories and it is a powerful intelligent control concept that iteratively improves the behavior of processes that are repetitive in nature. Here, we present recently obtained results as well as new results on open-closed loop type ILC, for a given class of integer order and fractional order regular systems. We discuss PIDD2/ PID,PD2Dα,PDα/PD types ILC, particularly ILC schemes with Dα type which is more flexible for practical implementation. Sufficient conditions for the convergence in the time domain of the proposed ILC for a class of fractional and integer order systems are given by the corresponding theorems together with its proof. Finally, the simulation results, including an application to the suitable robot system and Neuro-Arm robot, are presented to illustrate the performance of the proposed ILC schemes. Also, some attention will be devoted to the finite-time stability/stabilization problem of fractional-order (uncertain) neutral time-delay systems. By use of the generalized Gronwall inequality and its extended form, new sufficient conditions for finite-time stability of such systems are obtained. Finally, numerical examples are given to illustrate the effectiveness and applicability of the proposed theoretical results. PB - Univerzitet u Beogradu, Mašinski fakultet C3 - Book of abstracts: 1st International Conference on Mathematical Modelling in Mechanics and Engineering Mathematical Institute SANU, 08-10. September, 2022, 18-18 T1 - Recent results on advanced control and stability issues of fractional-order dynamical systems UR - https://hdl.handle.net/21.15107/rcub_machinery_4085 ER -
@conference{ author = "Lazarević, Mihailo", year = "2022", abstract = "Recently, fractional calculus has attracted the increased attention of scientific society where fractional operators are often used for complex dynamical systems. Iterative learning control (ILC) is one of the recent topics in control theories and it is a powerful intelligent control concept that iteratively improves the behavior of processes that are repetitive in nature. Here, we present recently obtained results as well as new results on open-closed loop type ILC, for a given class of integer order and fractional order regular systems. We discuss PIDD2/ PID,PD2Dα,PDα/PD types ILC, particularly ILC schemes with Dα type which is more flexible for practical implementation. Sufficient conditions for the convergence in the time domain of the proposed ILC for a class of fractional and integer order systems are given by the corresponding theorems together with its proof. Finally, the simulation results, including an application to the suitable robot system and Neuro-Arm robot, are presented to illustrate the performance of the proposed ILC schemes. Also, some attention will be devoted to the finite-time stability/stabilization problem of fractional-order (uncertain) neutral time-delay systems. By use of the generalized Gronwall inequality and its extended form, new sufficient conditions for finite-time stability of such systems are obtained. Finally, numerical examples are given to illustrate the effectiveness and applicability of the proposed theoretical results.", publisher = "Univerzitet u Beogradu, Mašinski fakultet", journal = "Book of abstracts: 1st International Conference on Mathematical Modelling in Mechanics and Engineering Mathematical Institute SANU, 08-10. September, 2022, 18-18", title = "Recent results on advanced control and stability issues of fractional-order dynamical systems", url = "https://hdl.handle.net/21.15107/rcub_machinery_4085" }
Lazarević, M.. (2022). Recent results on advanced control and stability issues of fractional-order dynamical systems. in Book of abstracts: 1st International Conference on Mathematical Modelling in Mechanics and Engineering Mathematical Institute SANU, 08-10. September, 2022, 18-18 Univerzitet u Beogradu, Mašinski fakultet.. https://hdl.handle.net/21.15107/rcub_machinery_4085
Lazarević M. Recent results on advanced control and stability issues of fractional-order dynamical systems. in Book of abstracts: 1st International Conference on Mathematical Modelling in Mechanics and Engineering Mathematical Institute SANU, 08-10. September, 2022, 18-18. 2022;. https://hdl.handle.net/21.15107/rcub_machinery_4085 .
Lazarević, Mihailo, "Recent results on advanced control and stability issues of fractional-order dynamical systems" in Book of abstracts: 1st International Conference on Mathematical Modelling in Mechanics and Engineering Mathematical Institute SANU, 08-10. September, 2022, 18-18 (2022), https://hdl.handle.net/21.15107/rcub_machinery_4085 .