Stabilization and L2-gain control for switched linear systems with actuator saturation

This paper considers the stabilization and L2-gain control problems for switched linear systems with actuator saturation. Based on dwell time switching signals, state feedback controller is designed to stabilize the open-loop switched systems. Moreover, under energy bounded disturbance and designed controller, the disturbance tolerance capability is estimated, and the weighted L2-gain from disturbance to controlled output is measured. Several optimization problems are given to maximize the attractive region and disturbance tolerance level, and to minimize the upper bound of weighted L2-gain. Numerical example and simulations are presented to show the effectiveness of the obtained results.