Observer-based adaptive control for stochastic nonstrict-feedback systems with unknown backlash-like hysteresis

摘要

This paper studies an observer-based adaptive fuzzy control problem for stochastic nonlinear systems in nonstrict-feedback form. The unknown backlash-like hysteresis is considered in the systems. In the design process, the unknown nonlinearities and unavailable state variables are tackled by introducing the fuzzy logic systems and constructing a fuzzy observer, respectively. By using adaptive backstepping technique with dynamic surface control technique, an adaptive fuzzy control algorithm is developed. For the closed-loop system, the proposed controller can guarantee all the signals are 4-moment semiglobally uniformly ultimately bounded. Finally, simulation results further show the effectiveness of the presented control scheme.