Title :
New approach of stability switched nonlinear system
Author :
Hamidi, Faical ; Abdelkrim, Mohamed Naceur ; Aggoune, Woihiba
Author_Institution :
Unite de Rech. Modelisation Anal. et Commande des Syst., ENIG, Gabes, Tunisia
Abstract :
In this paper we consider the problem of the stability of switched nonlinear systems. We use an optimization strategy based on Linear Matrix Inequality (LMI) and a genetic algorithm (GA), to compute the region of attraction of each subsystem. The feedback control will be designed to guarantee global stability by means the multiply Lyapunov functions under a switching signal. The implementation and efficacy of this approach are illustrated through simulations using a hybrid van der pool model.
Keywords :
Lyapunov methods; genetic algorithms; linear matrix inequalities; nonlinear control systems; stability; switching systems (control); LMI; Lyapunov function; feedback control; genetic algorithm; global stability; hybrid van der pool model; linear matrix inequality; optimization strategy; stability switched nonlinear system; switching signal; Genetic algorithms; Lyapunov methods; Optimization; Polynomials; Stability analysis; Switched systems; Switches; Domain of attraction; Genetic Algorithm; LMI; Lyapunov Function; Switched system; stability;
Conference_Titel :
Control, Engineering & Information Technology (CEIT), 2015 3rd International Conference on
Conference_Location :
Tlemcen
DOI :
10.1109/CEIT.2015.7233091
