Stabilization of switched linear systems under asynchronous switching subject to admissible edge-dependent average dwell time
The problem of stabilizing switched linear systems under asynchronous switching is addressed. The admissible edge-dependent average dwell time method is applied to design a switching signal that comprises slow admissible edge-dependent average dwell time and fast admissible edge-dependent average dw...
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| Published in | Frontiers of information technology & electronic engineering Vol. 23; no. 5; pp. 810 - 822 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Hangzhou
Zhejiang University Press
01.05.2022
Springer Nature B.V School of Computer Science,Qufu Normal University,Rizhao 276826,China%College of Engineering,Qufu Normal University,Rizhao 276826,China |
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| Abstract | The problem of stabilizing switched linear systems under asynchronous switching is addressed. The admissible edge-dependent average dwell time method is applied to design a switching signal that comprises slow admissible edge-dependent average dwell time and fast admissible edge-dependent average dwell time. Under this switching signal, the restriction that the maximum delay of asynchronous switching is known in advance is removed. The constructed Lyapunov function is associated with both the system mode and controller mode. The stabilization criteria and the corresponding algorithm are presented to obtain the controller gains and to design the switching signal. Finally, two examples are given to demonstrate the effectiveness of the proposed results. |
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| AbstractList | The problem of stabilizing switched linear systems under asynchronous switching is addressed. The admissible edge-dependent average dwell time method is applied to design a switching signal that comprises slow admissible edge-dependent average dwell time and fast admissible edge-dependent average dwell time. Under this switching signal, the restriction that the maximum delay of asynchronous switching is known in advance is removed. The constructed Lyapunov function is associated with both the system mode and controller mode. The stabilization criteria and the corresponding algorithm are presented to obtain the controller gains and to design the switching signal. Finally, two examples are given to demonstrate the effectiveness of the proposed results. TP13; The problem of stabilizing switched linear systems under asynchronous switching is addressed. The admissible edge-dependent average dwell time method is applied to design a switching signal that comprises slow admissible edge-dependent average dwell time and fast admissible edge-dependent average dwell time. Under this switching signal, the restriction that the maximum delay of asynchronous switching is known in advance is removed. The constructed Lyapunov function is associated with both the system mode and controller mode. The stabilization criteria and the corresponding algorithm are presented to obtain the controller gains and to design the switching signal. Finally, two examples are given to demonstrate the effectiveness of the proposed results. |
| Author | Hou, Linlin Sun, Haibin Ma, Xuan |
| AuthorAffiliation | School of Computer Science,Qufu Normal University,Rizhao 276826,China%College of Engineering,Qufu Normal University,Rizhao 276826,China |
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| Author_xml | – sequence: 1 givenname: Linlin orcidid: 0000-0001-7321-9239 surname: Hou fullname: Hou, Linlin email: houtingting8706@126.com organization: School of Computer Science, Qufu Normal University – sequence: 2 givenname: Xuan surname: Ma fullname: Ma, Xuan organization: School of Computer Science, Qufu Normal University – sequence: 3 givenname: Haibin surname: Sun fullname: Sun, Haibin organization: College of Engineering, Qufu Normal University |
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| Keywords | Admissible edge-dependent average dwell time 异步切换 多李雅普诺夫函数 Multi-Lyapunov function TP13 可容许边依赖平均驻留时间 Asynchronous switching |
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| SubjectTerms | Algorithms Communications Engineering Computer Hardware Computer Science Computer Systems Organization and Communication Networks Control systems design Controllers Design Dwell time Electrical Engineering Electronics and Microelectronics Instrumentation Liapunov functions Linear systems Networks Research Article Stabilization Switching |
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| Title | Stabilization of switched linear systems under asynchronous switching subject to admissible edge-dependent average dwell time |
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