Guaranteed cost stabilization control of discrete‐time switched systems
Abstract This paper is concerned with the guaranteed cost control problem of a class of linear discrete‐time switched systems with parametric uncertainties. Both state‐based and dynamic output‐based robust stabilization problems are investigated by using mode‐dependent dwell time technique. Differen...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-02-01
|
| Series: | IET Control Theory & Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/cth2.12051 |
| _version_ | 1828777843017908224 |
|---|---|
| author | Shengli Du Xudong Zhao Junfei Qiao Guangdeng Zong |
| author_facet | Shengli Du Xudong Zhao Junfei Qiao Guangdeng Zong |
| author_sort | Shengli Du |
| collection | DOAJ |
| description | Abstract This paper is concerned with the guaranteed cost control problem of a class of linear discrete‐time switched systems with parametric uncertainties. Both state‐based and dynamic output‐based robust stabilization problems are investigated by using mode‐dependent dwell time technique. Different from the existing results, here, the designed controllers are both mode‐dependent and quasi‐time‐dependent, which are less conservative. On the basis of the designed quasi‐time‐dependent Lyapunov functions, robust stabilization criteria are presented for the system under consideration. The solvable conditions are formulated as linear matrix inequalities, which are thus easy to be solved. Some comparative simulations are given to show the effectiveness of the proposed method. |
| first_indexed | 2024-12-11T16:30:16Z |
| format | Article |
| id | doaj.art-7f1593ea0e9148a3bddd6e5550314141 |
| institution | Directory Open Access Journal |
| issn | 1751-8644 1751-8652 |
| language | English |
| last_indexed | 2024-12-11T16:30:16Z |
| publishDate | 2021-02-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Control Theory & Applications |
| spelling | doaj.art-7f1593ea0e9148a3bddd6e55503141412022-12-22T00:58:37ZengWileyIET Control Theory & Applications1751-86441751-86522021-02-0115340441510.1049/cth2.12051Guaranteed cost stabilization control of discrete‐time switched systemsShengli Du0Xudong Zhao1Junfei Qiao2Guangdeng Zong3College of Automation Faculty of Information Technology Beijing University of Technology Beijing P. R. ChinaSchool of Control Science and Engineering Dalian University of Technology Dalian P. R. ChinaCollege of Automation Faculty of Information Technology Beijing University of Technology Beijing P. R. ChinaSchool of Engineering Qufu Normal University Rizhao P. R. ChinaAbstract This paper is concerned with the guaranteed cost control problem of a class of linear discrete‐time switched systems with parametric uncertainties. Both state‐based and dynamic output‐based robust stabilization problems are investigated by using mode‐dependent dwell time technique. Different from the existing results, here, the designed controllers are both mode‐dependent and quasi‐time‐dependent, which are less conservative. On the basis of the designed quasi‐time‐dependent Lyapunov functions, robust stabilization criteria are presented for the system under consideration. The solvable conditions are formulated as linear matrix inequalities, which are thus easy to be solved. Some comparative simulations are given to show the effectiveness of the proposed method.https://doi.org/10.1049/cth2.12051AlgebraLinear control systemsControl system analysis and synthesis methodsStability in control theoryDiscrete control systemsTime-varying control systems |
| spellingShingle | Shengli Du Xudong Zhao Junfei Qiao Guangdeng Zong Guaranteed cost stabilization control of discrete‐time switched systems IET Control Theory & Applications Algebra Linear control systems Control system analysis and synthesis methods Stability in control theory Discrete control systems Time-varying control systems |
| title | Guaranteed cost stabilization control of discrete‐time switched systems |
| title_full | Guaranteed cost stabilization control of discrete‐time switched systems |
| title_fullStr | Guaranteed cost stabilization control of discrete‐time switched systems |
| title_full_unstemmed | Guaranteed cost stabilization control of discrete‐time switched systems |
| title_short | Guaranteed cost stabilization control of discrete‐time switched systems |
| title_sort | guaranteed cost stabilization control of discrete time switched systems |
| topic | Algebra Linear control systems Control system analysis and synthesis methods Stability in control theory Discrete control systems Time-varying control systems |
| url | https://doi.org/10.1049/cth2.12051 |
| work_keys_str_mv | AT shenglidu guaranteedcoststabilizationcontrolofdiscretetimeswitchedsystems AT xudongzhao guaranteedcoststabilizationcontrolofdiscretetimeswitchedsystems AT junfeiqiao guaranteedcoststabilizationcontrolofdiscretetimeswitchedsystems AT guangdengzong guaranteedcoststabilizationcontrolofdiscretetimeswitchedsystems |