Robust fault-tolerant H∞ control for a class of linear uncertain time-delay systems

The problems of the robust fault-tolerant H-infinity control for a class of linear uncertain systems with time-delays and uncertainties are studied. The sufficient condition for linear uncertain time delay systems possessing integrity against sensor failures is given, and based on LMI, the design methods are given, by which the closed-loop systems are kept internal stability and the H-infinity norm of the transfer function from the disturbance to the controlled output is reduced to a given level for all admissible uncertainties and positive constant delays. An illustrative example and simulation results show the effectiveness of the proposed design method.