Adaptive Control of Nonlinear Systems with Unknown Bouc-Wen Hysteresis

Abstract

This paper studies the adaptive fuzzy control problem for stochastic nonlinear systems with unknown Bouc-Wenhysteresis. The unknown Bouc-Wen hysteresis problem is solved by introducing the Nussbaum function and the auxiliary virtual control function. A adaptive control scheme is proposed by applying the backstepping technique. This scheme guarantees that all signals of the closed-loop system are bounded, and the tracking error converges to a small neighborhood of the origin. Simulation demonstrates the effectiveness of the proposed scheme.