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OBSERVER-BASED ADAPTIVE FUZZY BACKSTEPPING CONTROL FOR STRICT-FEEDBACK STOCHASTIC NONLINEAR SYSTEMS WITH TIME DELAYS

In this paper, an adaptive fuzzy backstepping output feedback control approach is proposed for a class of strict-feedback stochastic nonlinear systems with time delays and immeasurable states. Fuzzy logic systems are firstly utilized to approximate the unknown nonlinear functions, and then a fuzzy state observer is designed to estimate the immeasurable states. By combining the fuzzy adaptive control theory with backstepping approach, an adaptive fuzzy output feedback control scheme is developed. It is proved that all the signals of the closed-loop of adaptive control system are semi-globally uniformly ultimately bounded (SUUB) in probability, and the observer errors and the output of the system can be made small by appropriate choice of the design parameters. Simulation results are provided to show the effectiveness of the proposed approach.