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Finding a stabilising switching law for switching nonlinear models

Author

Listed:
  • Zs. Lendek
  • P. Raica
  • J. Lauber
  • T.M. Guerra

Abstract

This paper considers the stabilisation of switching nonlinear models by switching between the subsystems. We assume that arbitrary switching between two subsystems is possible once a subsystem has been active for a predefined number of samples. We use a Takagi–Sugeno representation of the models and a switching Lyapunov function is employed to develop sufficient stability conditions. If the conditions are satisfied, we construct a switching law that stabilises the system. The application of the conditions is illustrated in several examples.

Suggested Citation

  • Zs. Lendek & P. Raica & J. Lauber & T.M. Guerra, 2016. "Finding a stabilising switching law for switching nonlinear models," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 2762-2772, September.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2762-2772
    DOI: 10.1080/00207721.2015.1021290
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