Brief paper - Dwell-time approach to L2-induced gain analysis of discrete-time switched systems subject to actuator saturation

This study investigates ℒ₂-induced gain from the input disturbance to output of discrete-time switched linear systems subject to actuator saturation. With the state feedback gains adopted beforehand, the authors establish the linear matrix inequalities formulation which estimates the restricted ℒ₂-induced gain for this class of switched systems by dwell-time approach. Then the authors investigate the influence of parameter variations on the restricted ℒ₂-induced gain, and present a state feedback design method for a fixed dwell time and an upper bound of restricted ℒ₂-induced gain. In addition, the authors investigate the qualitative relationship between disturbances rejection capability and dwell time. A numerical example is provided to illustrate the effectiveness of our obtained results.