Regular Papers
International Journal of Control, Automation and Systems 2010; 8(2): 220-227
Published online April 16, 2010
https://doi.org/10.1007/s12555-010-0206-8
© The International Journal of Control, Automation, and Systems
Static Output Feedback for Discrete-time Switched Linear Systems under Arbitrary Switching
This paper considers the problem of static output feedback (SOF) control for discrete-time switched linear systems under arbitrary switching. By the aid of switched quadratic Lyapunov functions combined with Finsler’s lemma, new sufficient conditions for SOF stabilization are obtained which guarantee a r-performance of the closed-loop switched systems subject to input disturbances. The proposed method can work successfully in situations where the existing ones fail. Three examples are given to illustrate its effectiveness.
Keywords Finsler’s lemma, linear matrix inequality (LMI), static output feedback, switched systems.
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Regular Papers
International Journal of Control, Automation and Systems 2010; 8(2): 220-227
Published online April 1, 2010 https://doi.org/10.1007/s12555-010-0206-8
Copyright © The International Journal of Control, Automation, and Systems.
Static Output Feedback for Discrete-time Switched Linear Systems under Arbitrary Switching
Da-Wei Ding and Guang-Hong Yang*
Northeastern University, China
Abstract
This paper considers the problem of static output feedback (SOF) control for discrete-time switched linear systems under arbitrary switching. By the aid of switched quadratic Lyapunov functions combined with Finsler’s lemma, new sufficient conditions for SOF stabilization are obtained which guarantee a r-performance of the closed-loop switched systems subject to input disturbances. The proposed method can work successfully in situations where the existing ones fail. Three examples are given to illustrate its effectiveness.
Keywords: Finsler’s lemma, linear matrix inequality (LMI), static output feedback, switched systems.
Vol. 23, No. 3, pp. 683~972
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