Optimal RGC Control with Regional Poles and Control Input Constraints: the Actuator Failure Case

Based on linear matrix inequalities (LMI) approach, the problem of optimal reliable guaranteed cost (RGC) control with control input and regional poles constraints is investigated for a class of uncertain discrete-time systems subject to actuator failures. The state-feedback controller is designed to meet the given upper bounds on the amplitudes of control signals and guarantee, for all admissible time-varying uncertainties and possible actuator failures, the closed-loop system satisfying the pre-specified regional pole index and having the optimal quadratic cost performance. Thus, with the constrained control input, the resulting closed-loop system can provide satisfactory stability, transient property and cost performance despite of possible actuator faults.