Adaptive fast finite-time control for nonlinear systems subject to output hysteresis by fuzzy approach

This article investigates an adaptive fast finite-time tracking control problem for a class of uncertain nonlinear systems with output hysteresis. The idea of output hysteresis compensation is skillfully extended to adaptive design by employing a hysteresis inverse transformation and barrier Lyapunov function. The backstepping technique is adopted to establish the fast finite-time control strategy, which can realize finite-time convergence of the closed-loop system. A rigorous theoretical analysis is performed to illustrate that the signals in the closed-loop systems are bounded in finite time, and the tracking error can converge into a compact set with sufficient accuracy. Finally, a numerical simulation is given to confirm the effectiveness of the presented strategy.