Optimal Guaranteed Cost Fault-Tolerant Control with D-stability Constraints via Dynamic Output Feedback

This paper deals with the problem of optimal guaranteed cost fault-tolerant control with D-stability constraints for linear uncertain systems via dyanmic output feedback. Based on an actuator failure model with continuous gain, the sufficient condition for the existence of guaranteed cost fault-tolerant controllers is presented in terms of linear matrix inequalities (LMIs). On the basis of the convex optimization theory, the design method of optimal guaranteed cost fault-tolerant controller transforms into the convex optimzation problem with LMIs constraints. The closed-loop systems are guaranteed to be D-stable for all admissible uncertainties and actuator faults, and the upper bound of the cost function gets to minma. Finally the numerical example shows the effectiveness of the proposed approach.