The problem of H∞ output tracking control for switched time⁃delay systems is investigated by using mode⁃dependent average dwell time method. Using the multiple Lyapunov function method, the condition satisfied by the mode⁃dependent average dwell time was developed, such that the considered systems were exponentially stabilizable with H∞ output tracking performance, the switching controller combining state feedback and tracking error integral was also designed simultaneously. Different from the single average dwell time method, the mode⁃dependent average dwell time method allowed each subsystem of switched systems to possess its own average dwell time, thus it reduced the conservatism of the results. Finally, a numerical example was used to illustrate the effectiveness of the proposed theoretical results.

The problem of mixed H∞ and passive model reference tracking control for a class of discrete switched systems with Discrete time⁃delay based on asynchronous switching was studied. By using the piecewise Lyapunov functional theory and average dwell time method, sufficient conditions for the Discrete time⁃delay switched systems to be exponentially stable with asynchronous mixed H∞ and passive model reference tracking performance were given in the form of linear matrix inequalities. Finally, a simulation example was provided to illustrate the effectiveness of the proposed method.

This paper is concerned with the synchronous  H _∞ switching control problem for a class of discretetime delay switched systems with time-varying delay under partially delay-dependent controller. Using the multiple Lyapunov function and the average dwell time method, the conditions for the average dwell time are satisfied. Under this switching condition, the system is mean square exponent stable and has weighted  H _∞ performance. At the same time, the design of the  H _∞ switching controller is given. Finally, a numerical example is used to illustrate the effectiveness of the proposed design method.

The problem of robust L∞ reliable control for a class of time-delay systems with controller failures is investigated. Based on the idea of switching, the system with possible failure of the controller is transformed into a switching system with two subsystems, one of which is a stable subsystem without controller failure and the other is unstable in the event of controller failure subsystem. By using the multiple Lyapunov function theory and the average dwell-time method, the exponential stabilization and L∞performance of LMI are obtained, and the design scheme of the L∞reliable switching controller is obtained. Finally, the effectiveness of the scheme is verified by simulation.

his paper investigates the problem of robust H∞ reliable control for a class of discrete time uncertain switched systems with timevarying delays and actuator failures. Assuming that the H∞ reliable control cannot be implemented in each individual subsystem, based on the multiple Lyapunov function theory, a sufficient condition for the problem to be solvable is achieved under the strategy of switching state feedback, and the corresponding switching law and robust H∞ reliable switching controller are given. Finally, a simulation example illustrates the validity of the design method.