Fuzzy Finite-Time Adaptive Tracking Control for Nonlinear Systems with External Disturbances

This paper addresses the fuzzy adaptive finite-time control problem for nonlinear systems with unknown nonlinearities and external disturbances. Fuzzy logic systems are employed to approximate the unknown nonlinear functions within the control framework. A dynamic surface control approach, integrated with first-order filters, is adopted to avoid the “complexity explosion” issue inherent in conventional backstepping design. By incorporating adaptive backstepping and finite-time stability theory, an adaptive fuzzy control scheme is developed, ensuring that all closed-loop signals remain bounded within finite time despite uncertainties and disturbances. Simulation results demonstrate the effectiveness and feasibility of the proposed method.