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.

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.