Fault tolerant control using adaptive output integral-type sliding mode

This paper proposes a novel fault tolerant control scheme for linear systems with unknown bounded uncertainty and time-varying fault. In this scheme, adaptive output integral-type sliding mode is incorporated with adaptive unknown input observer to cope with aforementioned systems using only input and output information. More specifically, the adaptive unknown input observer is exploited to estimate state and fault simultaneously, and the adaptive output integral-type sliding mode is designed to attenuate unknown bounded uncertainty and tolerate time-varying fault. Then, Lyapunov stability theory is applied to synthesize the design of the observer and nominal controller. Finally, the effectiveness of the proposed method is verified by a numerical example.