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Non-fragile hybrid guaranteed cost control for a class of uncertain switched linear systems

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Abstract

This paper focuses on the problem of non-fragile hybrid guaranteed cost control for a class of uncertain switched linear systems. The controller gain to be designed is assumed to have additive gain variations. Based on multiple-Lyapunov function technique, the design of non-fragile hybrid guaranteed cost controllers is derived to make the corresponding closed-loop system asymptotically stable for all admissible uncertainties. Furthermore, a convex optimization approach with LMIs constraints is introduced to select the optimal non-fragile guaranteed cost controllers. Finally, a simulation example illustrates the effectiveness of the proposed approach.

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Authors and Affiliations

  1. School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China

    Rui Wang & Jun Zhao

Authors
  1. Rui Wang
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  2. Jun Zhao
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Additional information

This work was supported by the National Natural Science Foundation of China (No.60274009, 60574013), and the Natural Science Foundation of Liaoning Province(No.20032020).

Rui WANG received the B.E. and M.E. degrees in mathematics in 2001 and 2004, respectively, both from Bohai University. She is currently a Ph.D. candidate in Control Theory and Applications at Northeastern University. Her main research interests include switched systems, fault-tolerant control.

Jun ZHAO received the Ph.D in Control Theory and Applications in 1991 at Northeastern University, China. From 1992 to 1993 he was a postdoctoral fellow at the same University. Since 1994 he has been with School of Information Science and Engineering, Northeastern University, China, where he is currently a professor. From February 1998 to February 1999, he was a visiting scholar at the Coordinated Science Laboratory, University of Illinois at Urbana-Champaign. He has held a Research Fellow position at Department of Electronic Engineering, City University of Hong Kong. His main research interests include switched systems, nonlinear systems, geometric control theory, and robust control.

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Wang, R., Zhao, J. Non-fragile hybrid guaranteed cost control for a class of uncertain switched linear systems. J. Control Theory Appl. 4, 32–37 (2006). https://doi.org/10.1007/s11768-006-5144-x

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  • DOI: https://doi.org/10.1007/s11768-006-5144-x

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