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Adaptive Control for a Class of Switched Linear Systems Using State-Dependent Switching

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Abstract

In this paper, the problem of adaptive control for a class of continuous-time switched linear systems is studied using a state-dependent switching method. All subsystems of the switched system under study can be unstable. First, an adaptive controller and a variable structure (VS) switching law with sliding sector are proposed, and some conditions are established in terms of linear matrix inequalities to guarantee the underlying system to be asymptotically stable. Then the problem of robust \(H_{\infty }\) control for the systems under study is also solved by designing a proposed adaptive controller and a VS switching law. Finally, a numerical example is given to demonstrate the effectiveness of the obtained theoretical results.

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Acknowledgments

The authors would like to thank the anonymous reviewers for their detailed comments which helped to improve the quality of the paper. This work was partially supported by the National Natural Science Foundation of China (61203123), the Liaoning Excellent Talents in University (LR2014035), and the Shandong Provincial Natural Science Foundation, China (ZR2012FQ019).

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Authors and Affiliations

  1. College of Engineering, Bohai University, Jinzhou, 121013, Liaoning, China

    Xudong Zhao, Yunfei Yin & Haijiao Yang

  2. Department of Mechanical Engineering, University of Hong Kong, Hong Kong, Hong Kong

    Xudong Zhao

  3. Chongqing SANY High-Intelligent Robots Co., Ltd, Chongqing, 401120, China

    Xudong Zhao & Ren Li

Authors
  1. Xudong Zhao
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  2. Yunfei Yin
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  4. Ren Li
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Correspondence to Xudong Zhao.

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Zhao, X., Yin, Y., Yang, H. et al. Adaptive Control for a Class of Switched Linear Systems Using State-Dependent Switching. Circuits Syst Signal Process 34, 3681–3695 (2015). https://doi.org/10.1007/s00034-015-0029-1

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  • DOI: https://doi.org/10.1007/s00034-015-0029-1

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