Robust pole placement controller design in LMI region for uncertain and disturbed switched systems

Badr Mansouri, Noureddine Manamanni, Kevin Guelton et M. Djemai

This paper concerns the state feedback control for continuous-time, disturbed and uncertain linear switched systems with arbitrary switching rules. The main result of this work consists in getting a LMI (Linear Matrix Inequalities) condition guaranteeing a robust pole placement according to some desired specifications. Then, external disturbance attenuation with a fixed rate according to the H∞ criterion is ensured. This is obtained thanks to the existence of a common quadratic Lyapunov function for all sub-systems. Finally, an academic example illustrates the efficiency of the developed approach.

Mots clés

Hybrid dynamical systems, Linear switched systems, Switched control, Quadratic Lyapunov function, LMI (Linear Matrix Inequalities), H infinity control.