Fast Finite-Time Adaptive Control for Strict Feedback Nonlinear Systems

A fast finite-time fuzzy funnel control method is proposed for strict-feedback nonlinear systems. Based on the funnel boundary constraint functions, finite-time Lyapunov stability theory and backstepping technology, the sufficient conditions and design steps are given, which guarantee that the all the signals of the closed-loop system are semi-global practically fast finite-time stable. The proposed method can ensure that the tracking error can converge to the prescribed region of the funnel constraint functions, at the same time, the prescribed performance are achieved, such as convergence speed and overshoot. At last, a simulation example illustrates the effectiveness of the proposed approach.