Adaptive Fast Finite-Time Fuzzy Control of a Class of Stochastic Nonlinear Systems

This paper studies the adaptive fast finite-time tracking control problem of a class of Stochastic Nonlinear Systems(SNSs). Different from general stochastic nonlinear systems, the disturbance and nonlinear functions in this paper can be completely unknown. The Fuzzy Logic System(FLS) is used to process unknown functions, the backstepping method is used to design the system and the Dynamic Surface Control(DSC) is further used to eliminate the “calculation explosion” problem in the backstepping method design process. The tracking error converges to near the origin within a finite time. It also ensures that all signals in the closed-loop system are bounded.