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Multiple Lyapunov functions approach to observer-based control for switched systems

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  • Li-li Li
  • Jun Zhao
  • Georgi Dimirovski

Abstract

This article investigates the issue of H∞ control for a class of continuous-time switched Lipschitz nonlinear systems. None of the individual subsystems is assumed to be stabilisable with H∞ disturbance attenuation. Based on a generalised multiple Lyapunov functions (GMLFs) approach, which removes the nonincreasing requirement at switching points, a sufficient condition for the solvability of the H∞ control problem under a state estimation-dependent switching law is presented. Observers, controllers and a switching law are simultaneously designed. As an extension, a sufficient condition for exponential stabilisability is also given.

Suggested Citation

  • Li-li Li & Jun Zhao & Georgi Dimirovski, 2013. "Multiple Lyapunov functions approach to observer-based control for switched systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(5), pages 812-819.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:812-819
    DOI: 10.1080/00207721.2011.625479
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    Cited by:

    1. Yanyan Yin & Peng Shi & Fei Liu & Kok Lay Teo, 2015. "Robust − filtering for a class of dynamical systems with nonhomogeneous Markov jump process," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(4), pages 599-608, March.

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