H∞ control of switched systems with time-delay

For switched system composed of linear subsystems with time-delay, the problem of H_infin control is investigated. Based on quadratic Lyapunov function technology, a delay-independent condition for the problem of optimization of H_infin performance to be solvable is derived by using Lyapunov-Razumikhin functional approach. Furthermore, a switching state feedback strategy is proposed to solve the H_infin control problem for linear delayed 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.