Adaptive fuzzy control of pure-feedback stochastic nonlinear systems with hysteresis

摘要

This paper studies fuzzy adaptive control of pure-feedback stochastic nonlinear systems with Prandtl-Ishlinskii hysteresis. The mean-value theorem is applied to deal with the difficulty from non-affine structure in generalized Prandtl-Ishlinskii hysteresis and original control systems. An adaptive fuzzy control scheme with minimum learning parameter is developed via backstepping. The proposed controller ensures all closed-loop system signals are semi-global bounded(SGB) in fourth-moment and the system output converges to a given trajectories. Simulation is presented to demonstrate effectiveness of the scheme.