Robust H∞ Guaranteed cost D-stable satisfactory fault-tolerant control against actuator failures

For a class of stochastic linear continuous-time systems with value-bounded uncertainties existing in the state and control input matrices, the problem of quadratic D-stability satisfactory fault-tolerant control with guaranteed cost performance index and H-infinity perturbation constrains against actuator failures is presented. Based on a more practical and general model of actuator continuous gain failures, the consistency theory of performance indices mentioned earlier is setup for fault-tolerant control. Sufficient conditions for existence of quadratic D-stability satisfactory fault-tolerant controller are developed Furthermore, the constructive controller design method with constrains of consistent indices is provided.