Adaptive Guaranteed Cost Control for State Delayed System with Actuator Failures

This paper deals with the problem of reliable guaranteed cost control for linear time-delay systems via state feedback against actuator faults. Based on adaptive method, a delay-dependent memory controller is established, whose gains are affinely dependent on the estimations of fault parameters. In the framework of linear matrix inequalities (LMIs), sufficient conditions with less conservativeness than those of the corresponding controller with fixed gains are derived such that the stability of the closed-loop systems is guaranteed and the cost function is minimized in both normal and faulty cases. A numerical example is given to illustrate the proposed method.