Adaptive fault-tolerant H∞ compensation controller design with actuator failures

In this paper, the problem of designing adaptive fault-tolerant H_infin compensation controllers for linear time-invariant continuous-time systems is presented. Linear matrix inequalities (LMIs) are developed with multiple Lyapunov functions to find a stabilizing controller gain such that the disturbance attenuation performance is optimized. Direct adaptive-state feedback control schemes are proposed to estimate the unknown controller parameters on-line for actuator fault and perturbation compensations. Then a class of adaptive robust state feedback controllers is constructed relying on the LMI result and the updated values of these estimations. Base on the Lyapunov stability theory, it shows that the resulting closed-loop system can guarantee to be epsiv-stable and suboptimal H_infin performances in the presence of faults on actuators and external perturbations. A numerical example of rocket fairing structural-acoustic model and its simulation results are given.