Robust Fault-Tolerant Guaranteed Cost Control for a Class of Uncertain Discrete Time-Delay Systems

The fault-tolerant guaranteed cost control problem via memoryless state feedback controllers is studied for a class of uncertain discrete time-delay systems with norm-bounded parametric uncertainty. A sufficient condition for the asymptotic stability of fuzzy closed-loop system with actuator failure is given in terms of linear matrix inequalities (LMIs). The condition guarantees that the closed-loop systems are stable for all allowable uncertainty, and for a given quadratic cost function, the cost is bounded in a limitation. Numerical example shows the effectiveness of the proposed method.