Adaptive Finite-Time Fuzzy Funnel Control for Nonaffine Nonlinear Systems

This paper, for the first time, presents an adaptive finite-time fuzzy funnel controller for nonaffine nonlinear systems via backstepping. To ensure the tracking error with prescribed boundedness, a modified transformation for funnel error is developed and embedded in the procedure of control design. The unknown packaged nonlinear functions appeared in the controller design process are approximated by using fuzzy logic systems. It is proved that the proposed method guarantees that the output tracking error falls within a preset funnel and all signals in the closed-loop system are semi-globally practically finite-time bounded (SGPFB). Simulations are carried out to demonstrate the effectiveness of the controller design scheme.