Adaptive Fuzzy Finite-Time Control for a Class of Stochastic Nonlinear Systems with Input Saturation

This paper considers the adaptive fuzzy finite-time tracking control for a class of uncertain stochastic nonlinear non-strict feedback systems with input saturation. An obvious difficulty, which has not been dealt with so far, is the simultaneous handling of input saturation and the implementation of finite-time stability in the stabilization of stochastic nonlinear non-strict feedback systems. An auxiliary system is introduced to counteract the influence of input saturation, and a novel stability criterion is used to achieve practical finite-time stable in mean square. Uncertain nonlinearity is approximated by fuzzy logic system, which eliminates the constraint of linear growth condition. In the end, a simulation example is given to prove the feasibility of this method.