Robust passive reliable control for uncertain discrete-time Systems with time delay and actuator faults

Abstract

Abstract. For a class of uncertain discrete-time system with time delay and actuator faults, a state feedback controller is designed based on passivity control method. The possible failure of each actuator is described by a variable varying within a given interval. Our aim is to design a reliable state feedback controller such that the closed-loop system is robust and strictly passive in the case of parameter uncertain and possible actuator failure. In terms of Lyapunov-Krasovskii functional and linear matrix inequality approach, a sufficient condition is presented for the existence of controller in the form of linear matrix inequalities (LMI). Finally, we give two numerical examples to demonstrate the effectiveness of the proposed design techniques.