Adaptive fuzzy fixed-time control for stochastic nonlinear systems with input saturation

This essay investigates the issue of adaptive fuzzy fixed-time control for a type of stochastic nonlinear systems, inputs of which are perturbed by saturation. First of all, an improved practical fixed-time stable criterion is presented for stochastic nonlinear system. Then, Gaussian error function (erf) and fuzzy logic systems (FLSs) are successively unitized to handle the issue of input saturation and unknown functions for the considered systems. Based on the given criterion and adding a power integral method, an adaptive fuzzy fixed-time controller is designed, which can ensures that all the variables converge to a compact set containing equilibrium point within a fixed time. Eventually, the simulation result of the numerical example and the one-link manipulator system demonstrate the validity of the suggested control strategy.