Delay-dependent Robust H∞ Control for a Class of Switched Systems with Time Delay

The delay-dependent H_∞ control for switched systems with time-delay is discussed in this paper. Based on linear matrix inequalities (LMI), a new delay-dependent condition is then derived by employing Lyapunov-Razumikhin functional method, which can ensure that the switched system is asymptotically stable with a prescribed H_infin performance. Moreover, a switching state feedback strategy is proposed to solve the H_∞ control problem for the linear switched systems. By state feedback, we mean that the switchings among subsystems are dependent on system states. Finally, a simulation example is given to illustrate the validity of the result.