Practical Input-to-State Control for Discrete Time Singularly Perturbed Switched Systems Under Asynchronous Switching

In this paper, the practical input-to-state stabilization is studied for discrete time singularly perturbed switched systems under asynchronous switching. Quasi-time function dependent Lyapunov functions are founded to analyze the practical input-to-state stability of above systems. And then, quasi-time dependent stabilization criteria are achieved with less conservatism to design the asynchronous controller, by which, the practical input-to-state stabilization is realized for discrete time singularly perturbed switched systems. One simulation example is utilized to illustrate that the proposed results are less conservative and effective.