Robust adaptive H∞ fault-tolerant control for uncertain linear systems against actuator failures

This paper is concerned with the robust adaptive H_∞ fault-tolerant control problem for linear systems with the mismatched parameter uncertainties, input channel and external disturbances, and actuator faults including loss of effectiveness, outage and stuck. Without requiring any fault detection and isolation mechanism, a novel adaptation law with a rather simpler structure is employed to estimate the unknown controller parameters. Based on a notion of an adaptive H_∞ performance index, the designed adaptive fault-tolerant controller can guarantee the disturbance attenuation and optimal H_∞ performance. Furthermore, on the basis of Lyapunov stability theory, it is shown that the proposed fault-tolerant strategy guarantees that the closed-loop system is asymptotically stable in the presence of the mismatched parameter uncertainty, disturbance and actuator faults simultaneously. Finally, a rocket fairing structural-acoustic model is used to demonstrate the efficiency of the proposed fault-tolerant design approach.