Lin-Sontag and common Lyapunov functions for stabilising control of a switched nonlinear systems
by Abdessamad Abdelhedi; Wided Saadi; Driss Boutat; Lassaad Sbita
International Journal of Industrial and Systems Engineering (IJISE), Vol. 30, No. 3, 2018

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.

Online publication date: Tue, 09-Oct-2018

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