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Global asymptotic stabilisation for switched planar systems

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  • Junfeng Zhang
  • Zhengzhi Han
  • Jun Huang

Abstract

This paper studies the stabilisation problem of a class of switched planar systems. The present method is different from the existing one designing directly controllers for the underlying systems. The controllers are constructed through two steps. Firstly, by means of the backstepping approach, homogeneous controllers stabilising the nominal systems are obtained. Secondly, the controllers stabilising the planar subsystems are attained by modifying the obtained homogeneous controllers. The controllers depend on perturbations of the switched systems. Finally, by using the multiple Lyapunov functions approach, a sufficient condition of the stabilisation for switched planar systems is given. The conclusions are extended to multiple dimensional switched systems. An illustrative example verifies the validity of the design.

Suggested Citation

  • Junfeng Zhang & Zhengzhi Han & Jun Huang, 2015. "Global asymptotic stabilisation for switched planar systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 908-918, April.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:908-918
    DOI: 10.1080/00207721.2013.801093
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    References listed on IDEAS

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    1. Xudong Zhao & Hao Liu & Zhenhuan Wang, 2013. "Weighted performance analysis of switched linear systems with mode-dependent average dwell time," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(11), pages 2130-2139.
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