Exponential stabilization and l1-gain analysis for discrete-time switched positive systems subject to actuator saturation

摘要

In this paper, we study the control problem for discrete-time switched positive systems subject to actuator saturation. Based on the average dwell time approach and co-positive type Lyapunov function method, local exponential stabilization and weighted l1-gain performance analysis are investigated, respectively. The state feedback controller design and the estimation on domain of attraction are presented by solving a convex optimization problem. Finally, an illustrative example is given to verify the effectiveness of the proposed method.