H_∞ Dynamic Output Feedback Control for A Class of Discrete-Time Stochastic Systems with Sector Nonlinearities and Mixed Time-Delays

摘要

This paper deals with the H_∞ dynamic output feedback control problem for a class of discrete-time stochastic systems involving sector nonlinearities and mixed time-delays. Based on the H_∞ control theory and Lyapunov-Krasovskii functional method, an effective approach is proposed todesign a H_∞ dynamic output feedback controller such that the resultant closed-loop system is stochastically stable with a prescribed disturbance attention in the mean square sense and has a H_∞ performance level. A numerical example demonstrates the effectiveness of the method.