Membership function-dependent robust sliding mode fault-tolerant control for T-S fuzzy systems with disturbances: A preset sliding band scheme

Abstract

In this article, the issue of robust sliding mode fault-tolerant control is investigated for Takagi-Sugeno (T-S) fuzzy systems in the presence of actuator failures and disturbances. With a modified barrier function as well as a membership function-dependent sliding variable exploited, a novel sliding mode control scheme is developed such that a fuzzy reduced-order sliding mode is established without reaching phase. In comparison with the state-of-the-art results, the findings features series of merits. First, the sliding mode controller is proposed via the property of a class of modified barrier functions, the responses of fuzzy systems are within a preset sliding band, in which the sliding mode cannot be lost even though in the occurrence of faulty modes. Second, more designs of degree are provided via the proposal for calibrating the upper boundaries of system trajectories. Third, upon a membership function-dependent sliding variable, a reduced-order sliding mode with parallel distribution compensation (PDC) control framework is derived, which are with less conservativeness results than the classic ones of reduced-order sliding mode. Finally, some examples for simulation are offered to confirm the theoretical schemes.