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Lin-Sontag and common Lyapunov functions for stabilising control of a switched nonlinear systems

Author

Listed:
  • Abdessamad Abdelhedi
  • Wided Saadi
  • Driss Boutat
  • Lassaad Sbita

Abstract

This work presents a control of switched nonlinear systems. The approach is based on stabilisation by using control Lyapunov functions. A necessary and sufficient condition for stabilisation based on the existence of a common Lyapunov control function for switching subsystems is presented for the first time. Secondly, a stabilisation control device is designed for nonlinear switching system using the theory of common Lyapunov function and state feedback control of Lin-Sontag. Finally, this proposed approach is illustrated on the example of a switched reactor.

Suggested Citation

  • Abdessamad Abdelhedi & Wided Saadi & Driss Boutat & Lassaad Sbita, 2018. "Lin-Sontag and common Lyapunov functions for stabilising control of a switched nonlinear systems," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 30(3), pages 316-328.
    • Handle: RePEc:ids:ijisen:v:30:y:2018:i:3:p:316-328
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