Fault-tolerant control via sliding-mode output feedback for uncertain linear systems with quantisation

This study studies the robust fault-tolerant control problem for uncertain linear systems via sliding-mode output feedback. It is assumed that measured output and compensator state signals are quantised before transmission. By employing the matrix full-rank factorisation technique with a flexible design parameter, a sufficient condition for the existence of a linear sliding surface and a compensator in the augmented space is given. Then the non-linear discontinuous vector gain of the sliding-mode controller is designed based on a static adjustment law of the quantisation parameters. It is shown that the proposed sliding-mode fault-tolerant strategy guarantees that the closed-loop system is asymptotically stable in the presence of quantisation errors and actuator faults including outage. Compared with the existing results, the derived results lead to less conservativeness and much wider scope of applicability. Finally, the effectiveness of the proposed design method is illustrated via a B747-100/200 aircraft model.