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Adaptive finite-time control for a class of switched nonlinear systems using multiple Lyapunov functions

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  • Mingjie Cai
  • Zhengrong Xiang
  • Jian Guo

Abstract

This paper investigates the problem of global adaptive finite-time stabilisation for a class of switched nonlinearly parameterised systems. Without requiring that each subsystem is globally adaptively finite-time stabilisable, a switched adaptive finite-time control scheme is developed by exploiting the multiple Lyapunov functions method and adding a power integrator technique. By using the parameter separation technique, the unknown parameters are separated from nonlinear functions. On the basis of finite-time Lyapunov stability theory, it is proved that the proposed controller can guarantee that the state of the resulting closed-loop system converges to the origin in finite time. Finally, an example is given to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Mingjie Cai & Zhengrong Xiang & Jian Guo, 2017. "Adaptive finite-time control for a class of switched nonlinear systems using multiple Lyapunov functions," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 324-336, January.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:324-336
    DOI: 10.1080/00207721.2016.1181223
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