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A revisit to the design of switched observers for switched linear systems with unknown inputs

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  • Control Theory
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Abstract

This paper revisits the problem of designing switched observers for switched linear systems with unknown inputs. By performing a state and output coordinates transformation that decouples the unknown input, a novel piecewise time-varying Lyapunov function is introduced to analyze the stability of the switched error dynamics. Compared with the existing time-invariant Lyapunov function method, the proposed time-varying Lyapunov function method is more suitable to exploit the structural characteristics of switched linear systems. New conditions are derived that guarantee the exponential stability of the switched error dynamics. These conditions are formulated in term of linear matrix inequalities (LMIs). By solving a set of LMIs, the switched observers can be designed. Two numerical examples are provided to illustrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. School of Mathematics, South China University of Technology, Guangzhou, Guangdong, 510641, P. R. China

    Gan-Ji Huang

  2. College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, P. R. China

    Wu-Hua Chen

Authors
  1. Gan-Ji Huang
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Correspondence to Wu-Hua Chen.

Additional information

Gan-Ji Huang received his B.Sc. degree in Mathematics from Guangxi Normal University, Guilin, China, in 2006. Currently he is pursuing a Ph.D. degree in the School of Mathematics, South China University of Technology, China. His current research interests include switched systems, robust control and its application.

Wu-Hua Chen received his B.Sc. degree in Mathematics from Hubei Normal University, Huangshi, China, an M.Sc. degree in Basic Mathematics from Guangxi Normal University, Guilin, China, and a Ph.D. degree in Control Theory and Control Engineering from Huazhong University of Science and Technology, Wuhan, China, in 1988, 1991, and 2004, respectively. He is currently a professor in Guangxi University. His research interests include time-delay systems, robust control, neural networks, impulsive systems, and networked control systems.

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Huang, GJ., Chen, WH. A revisit to the design of switched observers for switched linear systems with unknown inputs. Int. J. Control Autom. Syst. 12, 954–962 (2014). https://doi.org/10.1007/s12555-013-0121-x

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  • DOI: https://doi.org/10.1007/s12555-013-0121-x

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