Adaptive Fast Finite-time Control for Nonlinear Systems Subject to Output Hysteresis by Fuzzy Approach

Abstract

This paper investigates the fast finite-time adaptive fuzzy control issue for the nonlinear systems with external disturbance and output hysteresis. The output hysteresis and the nonlinearities are completely unknown. The hysteresis inverse and asymmetric barrier Lyapunov function are employed to handle the difficulty caused by output hysteresis, the unknown nonlinearities are tackled by utilizing the fuzzy logic systems. Furthermore, the adaptive fuzzy fast finite-time controller is designed based on backstepping technique, such that the signals of closed-loop systems are bounded, and the tracking error remain in the defined set around zero after a finite period of time under the output constraint. This control strategy skillfully unify the control of output hysteresis and fast finite-time stability theorem for the first time. Finally, a numerical simulation confirms the effectiveness of presented control method.