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Quadratic stabilization of switched nonlinear systems

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Abstract

In this paper, the problem of quadratic stabilization of multi-input multi-output switched nonlinear systems under an arbitrary switching law is investigated. When switched nonlinear systems have uniform normal form and the zero dynamics of uniform normal form is asymptotically stable under an arbitrary switching law, state feedbacks are designed and a common quadratic Lyapunov function of all the closed-loop subsystems is constructed to realize quadratic stabilizability of the class of switched nonlinear systems under an arbitrary switching law. The results of this paper are also applied to switched linear systems.

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Authors and Affiliations

  1. School of Science, Tianjin Polytechnic University, Tianjin, 300160, China

    YaLi Dong & JiaoJiao Fan

  2. Department of Electrical Engineering, Tsinghua University, Beijing, 100084, China

    ShengWei Mei

Authors
  1. YaLi Dong
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  2. JiaoJiao Fan
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  3. ShengWei Mei
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Corresponding author

Correspondence to YaLi Dong.

Additional information

Supported partially by the National Natural Science Foundation of China (Grant No. 50525721)

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Dong, Y., Fan, J. & Mei, S. Quadratic stabilization of switched nonlinear systems. Sci. China Ser. F-Inf. Sci. 52, 999–1006 (2009). https://doi.org/10.1007/s11432-009-0111-z

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  • DOI: https://doi.org/10.1007/s11432-009-0111-z

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