Disturbance attenuation of discrete-time switched linear systems

Based on multiple Lyapunov functions methodology, we study disturbance attenuation of discrete-time switched linear systems. A bilinear matrix inequalities (BMIs) based condition is derived to stabilize the switched system with a prescribed disturbance attenuation level ?? when only switching can be utilized in the control of systems. This condition can be dealt with as linear matrix inequalities (LMIs) if the associate scalars are selected in advance. Then the synthesis problem via switched state feedback is studied. All the switching rules adopted are state dependent and are constructively designed.? 2006 IEEE.EI868-87