Command Filter Based Adaptive Fuzzy Control for Stochastic Nonlinear Systems with Unknown Hysteresis

This paper investigates the adaptive fuzzy backstepping control problem for a class of stochastic nonlinear systems with unknown actuator hysteresis. Considering the heavy computation burden by iterative derivatives of backsteping design technique, a command filter based control strategy with error compensating signals is proposed. The fuzzy logic systems (FLSs) are utilized to cope with the unknown uncertainties in this paper. In the end, the uniform ultimate boundedness of the closed-loop stochastic nonlinear system is obtained by Lyapunov stability theory. To verify the effectiveness of the proposed method, a simulation example is given.