Robust mixed H2/H∞ output tracking control of uncertain discrete-time switched systems with state time-delay

This paper focuses on the problem of mixedH2/H∞ output tracking control for uncertain discrete-time switched systems with state time-delay. By using single Lyapunov function theory, a state feedback controller is presented to guarantee the closed-loop error system robust asymptotically stable with mixedH2/H∞ performance is developed. The controller gains are obtained by a set of linear matrix inequalities(LMIs). The corresponding stabilizing switching rule is provided. A numerical example is given to demonstrate the effectiveness of the proposed approach. Key–Words: discrete-time switched systems, time-delay systems, tacking control, mixed H2/H∞control, single Lyapunov function.