Adaptive sliding mode fault tolerant control for interval Type-2 fuzzy singular fractional-order systems

This article proposes an integral sliding mode control scheme for a class of uncertain nonlinear singular fractional-order systems subject to actuator faults. The interval type-2 Takagi–Sugeno model is used to represent the singular fractional-order systems. First, a novel integral sliding surface is constructed. A sufficient condition is given in terms of linear matrix inequalities which guarantees the admissibility and the robustness of the singular fractional-order systems against actuator faults. Then, aiming at the fault information which is difficult to get in the practical application, an adaptive estimation of fault information is proposed to update the sliding mode controller. A sliding mode fault tolerant control law is designed to make the singular fractional-order systems reach the sliding surface in a finite time. At last, the applicability and effectiveness of the proposed method is illustrated by a numerical simulation example.