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Stabilization of a class of discrete-time switched systems via observer-based output feedback

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Abstract

In this paper, observer-based static output feedback control problem for discrete-time uncertain switched systems is investigated under an arbitrary switching rule. The main method used in this note is combining switched Lyapunov function (SLF) method with Finsler’s Lemma. Based on linear matrix inequality (LMI) a less conservative stability condition is established and this condition allows extra degree of freedom for stability analysis. Finally, a simulation example is given to illustrate the efficiency of the result.

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Authors and Affiliations

  1. School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, Liaoning, 110034, China

    Jiao Li & Yuzhong Liu

Authors
  1. Jiao Li
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  2. Yuzhong Liu
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Additional information

This work was supported by Doctorate Foundation of Shenyang Normal University of China (No. 054-554405-01).

Jiao LI was born in Liaoning Province in 1981. She received the B.S. degree in Mathematics and its Application from Shenyang Normal University in 2004. Currently, she is pursuing her M.S. degree in the School of Mathematics and Systems Science, Shenyang Normal University. Her research interests include robust control, observer design and the stability of switched systems.

Yuzhong LIU was born in 1963. He received his Ph.D. degree in Control Theory and Engineering at Northeastern University in 2001. He is currently a professor in the School of Mathematics and Systems Science, Shenyang Normal University. His main research interests include nonlinear control systems, hybrid systems and networked control systems.

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Li, J., Liu, Y. Stabilization of a class of discrete-time switched systems via observer-based output feedback. J. Control Theory Appl. 5, 307–311 (2007). https://doi.org/10.1007/s11768-006-6064-5

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  • DOI: https://doi.org/10.1007/s11768-006-6064-5

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