Fast Finite-time Adaptive Fuzzy Control for Stochastic Nonlinear System

In this article, we solve the fast finite-time stabilization as well as adaptive fuzzy control design issues for a class uncertain stochastic nonlinear systems. Firstly, a new fast finite-time control scheme is proposed in virtue of generalizing the fast finite-time adaptive control strategy for deterministic systems to the stochastic case. Next, a novel adaptive fuzzy control strategy is developed to simultaneously deal with the stochastic nonlinear systems with completely unknown nonlinearities as well as the disturbances term. Then, stability analysis have been given based on a Jensen’s inequality. Finally, two simulations examples is presented to illustrate the effectiveness of the proposed control scheme.