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

The fault-tolerant guaranteed cost control problem via memory less state feedback controllers is studied for a class of nonlinear time-delay systems with norm-bounded parametric uncertainty. A sufficient condition for the asymptotic stability of fuzzy closed-loop system is given in terms of linear matrix inequalities (LMIs). All allowable uncertain closed-loop systems are guaranteed to be stable. For a given quadratic cost function, the cost is bounded in a limitation. Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controller which minimizes the guaranteed cost of the closed-loop uncertain system. Simulation results show the effectiveness of the proposed method