Fixed-time fault-tolerant control for constrained systems based on adaptive fuzzy

Abstract

In view of the complexity of the operating environment of the actual industrial system, this paper considers the nonlinear system with two kinds of constrained factors (actuator faults and unknown dead-zones) and proposes a fixed-time passive fault-tolerant control (FTC) scheme based on adaptive fuzzy technique to improve the overall stability and fault tolerance of the constrained system. Firstly, a passive FTC scheme is constructed in which the adaptive fuzzy technique is used to deal with the non-dynamic influences and variations of the system induced by two constrained factors. Secondly, the design of the fixed-time controller further improves the convergence rate of the system on the basis of the finite time controller, and the introduction of the FTC scheme solves the oscillation problem caused by the fast convergence rate of the fixed-time controller and the influence of two constrained factors on the stability and tracking performance of the system. Then, based on the Lyapunov fixed-time stability theory, the feasibility of the proposed scheme is analyzed, that is, the constrained system can achieve system stability in fixed-time and the tracking error is maintained within a compact set around the to origin. Finally, the proposed strategy is verified by two simulations.

DOI: 10.61416/ceai.v26i2.8962