Fault tolerant control with disturbance estimator for a class of linear parameter varying systems subject to time-varying fault

This paper proposes a sliding-mode control (SMC) scheme for a class of linear parameter varying (LPV) systems subject to a loss of control effectiveness and external disturbance. The LPV model is transformed into the non-LPV model representation. The updating law for unknown time-varying fault and the disturbance estimator are designed. The novel sliding-mode fault tolerant control (FTC) law is presented by using estimated fault and estimated disturbance to compensate the effects of faults in both cases: the known and the partial known system matrices. The stability analysis of closed-loop system is performed on the Lyapunov theory. The main advantage of the proposed method is to circumvent solving on-line parameter-dependent nonlinear matrix inequalities, also to adapt to the changes of unknown parameter. The feasibility of the approach is illustrated by means of the simulation examples.