Dynamic output feedback control based on virtual feedback control law for planar switched nonlinear systems with time-varying delays and multiple subsystems
Abstract This paper addresses the dynamic output feedback control problem for a class of discrete-time planar switched nonlinear systems with time-varying delays and multiple subsystems. First, the virtual state feedback control law is designed based on adding a power integrator approach. Secondly,...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1754-0 |
| _version_ | 1818928595644448768 |
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| author | Wei Zheng Hongbin Wang Hongrui Wang Zhiming Zhang |
| author_facet | Wei Zheng Hongbin Wang Hongrui Wang Zhiming Zhang |
| author_sort | Wei Zheng |
| collection | DOAJ |
| description | Abstract This paper addresses the dynamic output feedback control problem for a class of discrete-time planar switched nonlinear systems with time-varying delays and multiple subsystems. First, the virtual state feedback control law is designed based on adding a power integrator approach. Secondly, the nonlinear reduced-order compensator is designed for the subsystems of the planar switched nonlinear systems under arbitrary switchings. Then, the dynamic output feedback controller is constructed based on the virtual state feedback control law and the nonlinear reduced-order compensator. By introducing the new discrete Lyapunov–Krasovskii functional, it can be seen that the solutions of the closed-loop system converge to an adjustable bounded region. Compared with the previous works, the subsystems of this planar switched system may contain the uncontrollable/unobservable Jacobian linearizations. In addition, the obtained results are further extended to the general nonlinear case and one-link manipulator case with the motor dynamics. Finally, two simulation examples are performed to show the effectiveness of the proposed method. |
| first_indexed | 2024-12-20T03:31:25Z |
| format | Article |
| id | doaj.art-3e1df0bcab1148baac835d588024282a |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-20T03:31:25Z |
| publishDate | 2018-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-3e1df0bcab1148baac835d588024282a2022-12-21T19:54:59ZengSpringerOpenAdvances in Difference Equations1687-18472018-09-012018112010.1186/s13662-018-1754-0Dynamic output feedback control based on virtual feedback control law for planar switched nonlinear systems with time-varying delays and multiple subsystemsWei Zheng0Hongbin Wang1Hongrui Wang2Zhiming Zhang3Institute of Electric Engineering, Yanshan UniversityInstitute of Electric Engineering, Yanshan UniversityInstitute of Electronic Information Engineering, Hebei UniversityInstitute of Electric Engineering, Yanshan UniversityAbstract This paper addresses the dynamic output feedback control problem for a class of discrete-time planar switched nonlinear systems with time-varying delays and multiple subsystems. First, the virtual state feedback control law is designed based on adding a power integrator approach. Secondly, the nonlinear reduced-order compensator is designed for the subsystems of the planar switched nonlinear systems under arbitrary switchings. Then, the dynamic output feedback controller is constructed based on the virtual state feedback control law and the nonlinear reduced-order compensator. By introducing the new discrete Lyapunov–Krasovskii functional, it can be seen that the solutions of the closed-loop system converge to an adjustable bounded region. Compared with the previous works, the subsystems of this planar switched system may contain the uncontrollable/unobservable Jacobian linearizations. In addition, the obtained results are further extended to the general nonlinear case and one-link manipulator case with the motor dynamics. Finally, two simulation examples are performed to show the effectiveness of the proposed method.http://link.springer.com/article/10.1186/s13662-018-1754-0Planar switched systemsTime-varying delaysAdding a power integrator approachDynamic output feedbackLyapunov–Krasovskii functional |
| spellingShingle | Wei Zheng Hongbin Wang Hongrui Wang Zhiming Zhang Dynamic output feedback control based on virtual feedback control law for planar switched nonlinear systems with time-varying delays and multiple subsystems Advances in Difference Equations Planar switched systems Time-varying delays Adding a power integrator approach Dynamic output feedback Lyapunov–Krasovskii functional |
| title | Dynamic output feedback control based on virtual feedback control law for planar switched nonlinear systems with time-varying delays and multiple subsystems |
| title_full | Dynamic output feedback control based on virtual feedback control law for planar switched nonlinear systems with time-varying delays and multiple subsystems |
| title_fullStr | Dynamic output feedback control based on virtual feedback control law for planar switched nonlinear systems with time-varying delays and multiple subsystems |
| title_full_unstemmed | Dynamic output feedback control based on virtual feedback control law for planar switched nonlinear systems with time-varying delays and multiple subsystems |
| title_short | Dynamic output feedback control based on virtual feedback control law for planar switched nonlinear systems with time-varying delays and multiple subsystems |
| title_sort | dynamic output feedback control based on virtual feedback control law for planar switched nonlinear systems with time varying delays and multiple subsystems |
| topic | Planar switched systems Time-varying delays Adding a power integrator approach Dynamic output feedback Lyapunov–Krasovskii functional |
| url | http://link.springer.com/article/10.1186/s13662-018-1754-0 |
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