Adaptive Fuzzy Fast Finite-Time Control of Nonlinear Pure-Feedback Systems With Actuator Faults

This paper investigates a fuzzy adaptive fast finite-time control method for nonlinear pure-feedback systems (PFSs) with time-varying actuator faults. Using the mean-value theorem (MVT) to handle the non-affine functions in the system and to effectively decouple the control input signals. By integrating the approximation ability of fuzzy logic systems (FLSs), the fast finite-time control theory, and the backstepping techniques, a fuzzy-based fast finite-time fault-tolerant control method is proposed. Meanwhile, the fault-tolerant controller designed in this paper can effectively compensates the actuator faults. The theoretical analysis verifies that the strategy ensures the convergence of the tracking error and all closed-loop signals are bounded in fast finite-time. Finally, the effectiveness and feasibility of the proposed control strategy are verified by two numerical simulations.