Finite-time tracking control of a class of nonlinear systems with hysteresis based on backstepping technique

This paper focuses on the adaptive finite-time tracking control problem for a class of nonlinear nonstrict-feedback systems with unknown hysteresis. The fuzzy logic systems are used to deal with the unknown system functions, which contain the whole state variables of the nonstrict-feedback system. Furthermore, it is proved that all the closed-loop signals are bounded and the tracking error converges to a small neighborhood of the origin in a finite time, even though unknown hysteresis in the actuator is considered. Finally, the validity of the proposed control scheme is demonstrated by an example.