A novel adaptive fuzzy control design for a class of strict-feedback stochastic nonlinear systems

In this paper, the problem of adaptive fuzzy control design is investigated for strict-feedback stochastic nonlinear systems. Fuzzy logic systems are used to approximate the packaged unknown functions and adaptive backstepping technique is utilized to construct adaptive controller. The proposed controller guarantees that all the signals in the closed-loop system are bounded in probability. The main advantages of the proposed controller lie in that fuzzy basis function vectors are not contained in the proposed controller, which makes the adaptive fuzzy control scheme is very simple. And the proposed controller contains only one adaptive parameter that needs to be updated online. Simulation results further demonstrate the effectiveness of the proposed approach.