Fuzzy Disturbance Observer and Anti-Disturbance Control Design for Nonlinear Systems with Nonlinear Exosystem
The anti-disturbance control method for the disturbance of the exosystem has been a hot re-search topic.For a class of nonlinear systems with the disturbance described by nonlinear exosystem,the unknown nonlinear functions in the system and exosystem are approximated by a radial basis func-tion(RBF)based fuzzy logic system(FLS).Then,a novel fuzzy disturbance observer(FDO)is de-signed to estimate the non-linearly modeled disturbances.A novel disturbance estimation error observer is constructed to approximate the disturbance estimation error in the adaptive update law.Subsequent-ly,an adaptive fuzzy control method based on FDO is proposed by using the linear matrix inequality(LMI).The stability of the closed-loop system is analyzed by using Lyapunov method.Finally,the de-signed control method is verified by simulation experiment,and the experimental results show that the proposed method has better performance in control accuracy and disturbance estimation accuracy than the traditional anti-disturbance control method.