Fixed-Time Adaptive Fuzzy Funnel Control for Strict-Feedback Nonlinear Systems

In this paper, the problem of fixed-time adaptive tracking control for strict-feedback nonlinear systems is studied. By introducing a new tunnel constraint variable, a new adaptive and practical fixed-time controller is constructed based on fuzzy control, fixed-time Lyapunov stability theory and backstepping algorithm. Fuzzy logic system is introduced to approximate the unknown term of the system. Theoretical analysis shows that under the control strategy, and the tracking error converges to a small neighborhood of the origin within fixed-time intervals, where the convergence time is independent of the initial state of the system. At the same time, all the signals of the closed-loop system are bounded. Simulation results show that the proposed controller is effective.