Robust H∞ output feedback control for a class of discrete-time switched systems

For a class of discrete-time switched systems with disturbances the problems of robust stability and disturbance attenuation under arbitrary switching are studied for this class of systems. The sufficient conditions for the systems to be robustly stable with H_infin disturbance attenuation gamma are presented by using the multiple Lyapunov function technique and common Lyapunov function technique . It is shown that these conditions are equivalent to the solvability problem of a set of linear matrix inequalities(LMIs), and more important is that the sufficient conditions are independent of the state-space representation we adopt for the systems. Finally, a numerical example is given to illustrate the efficiency of the result in this paper.