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

Abdessamad Abdelhedi, Wided Saadi, Driss Boutat and Lassaad Sbita

International Journal of Industrial and Systems Engineering, 2018, vol. 30, issue 3, 316-328

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.

Keywords: switched systems; stabilisation; control; Lyapunov functions; reactor. (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:ids:ijisen:v:30:y:2018:i:3:p:316-328

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