Stabilization of Discrete-time Switched Systems with State Constraints Based on Mode-Dependent Average Dwell Time

Abstract

This paper considers the stabilization problem for a class of switched systems with state constraints based on mode-dependent average dwell time (MDADT) in discrete-time context. An improved average dwell time method is proposed, which is less conservative than the common average dwell time method. The sufficient conditions and stabilizing state feedback controllers for stabilization of discrete-time switched systems with state constraints under MDADT switching are derived. Finally, the simulation results show that the approach designed by this paper is effective.