Robust H∞ dynamie output feedback control for discrete switched systems by using sojourn-probability-dependent method

In this paper, a sojourn-probability-dependent method is proposed to investigate robust H∞ dynamic output feedback control for discrete switched systems with input delays by using sojourn-probability-dependent method. The output feedback controller is designed by using the probability of switched system staying in each subsystem. By using the sojourn probability information, a new type of switched system model is built. Then based on multiple Lyapunov functional method and LM technique the sufficient conditions of the robust H∞ mean square stability of the system are derived, after that the H∞ norm bound / and the output feedback H∞ controller can be given. At last, some numerical examples are proposed to show the effectiveness of the proposed model and method.