L ∞ Control with Finite-Time Stability for Switched Systems under Asynchronous Switching
Joint Authors
Xing, Jianchun
Wang, Ping
Yang, Qiliang
Xiang, Zhengrong
Wang, Ronghao
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-18
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper is concerned with the problem of controller design for switched systems under asynchronous switching with exogenous disturbances.
The attention is focused on designing the feedback controller that guarantees the finite-time bounded and L∞ finite-time stability of the dynamic system.
Firstly, when there exists asynchronous switching between the controller and the system, a sufficient condition for the existence of stabilizing switching law for the addressed switched system is derived.
It is proved that the switched system is finite-time stabilizable under asynchronous switching satisfying the average dwell-time condition.
Furthermore, the problem of L∞ control for switched systems under asynchronous switching is also investigated.
Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
American Psychological Association (APA)
Wang, Ronghao& Xing, Jianchun& Wang, Ping& Yang, Qiliang& Xiang, Zhengrong. 2012. L ∞ Control with Finite-Time Stability for Switched Systems under Asynchronous Switching. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-1029852
Modern Language Association (MLA)
Wang, Ronghao…[et al.]. L ∞ Control with Finite-Time Stability for Switched Systems under Asynchronous Switching. Mathematical Problems in Engineering No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-1029852
American Medical Association (AMA)
Wang, Ronghao& Xing, Jianchun& Wang, Ping& Yang, Qiliang& Xiang, Zhengrong. L ∞ Control with Finite-Time Stability for Switched Systems under Asynchronous Switching. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-1029852
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029852