Design of Robust Fault tolerant Controller for Uncertain Continuous time Systems Possessing IntegrityI. Actuator Failure Cases

This paper is concerned with the synthesis of a state feedback control system which possesses both integrity and robustness. A state feedback control law which retains asymptotic stability against arbitrary actuator failure and parameter perturbations is derived by using a positive definite solution of a type of matrix quadratic equations. Moreover, a design procedure is proposed, and the effectiveness of the procedure is demonstrated with a numerical example and simulation results.