Robust H∞ dynamic output feedback control for uncertain discrete-time switched systems with time-varying delays

In this paper, robust H_infin output feedback control problem for a class of linear discrete-time switched systems with norm-bounded uncertainty and time-varying delay is investigated. A switched dynamic output feedback controller which robustly exponentially stabilizes the switched system and reduces the effect of the disturbance input on the controlled output to a prescribed level was constructed. By using switched Lyapunov function technique, a delay-dependent linear matrix inequality-based sufficient condition for the problem to be solvable is derived. Controller design is performed by solving a set of linear matrix inequalities. Finally, a simulation example is given to illustrate the validity of the results.