Adaptive fuzzy control of stochastic nonlinear systems with predefined time via self-triggered mechanism

This paper addresses the adaptive fuzzy predefined time tracking control problem for a class of non-strict feedback stochastic nonlinear systems with input delay and error boundary constraints. Based on the fixed-time stability criterion for stochastic nonlinear systems, the stability criteria of the practically predefined time for the stochastic nonlinear system is developed. Additionally, an auxiliary system is constructed to address the computational complexity caused by the input delay problem, and an adaptive fuzzy controller is designed by using backstepping technique with self-triggering mechanism. Under the proposed control scheme, it can be proven that the tracking error is constrained by two functions within the predefined time, and the time is independent of the initial state and system parameters. Following the developed stability criteria, the closed-loop system stability analysis is completed. Simulation results demonstrate the feasibility and superiority of the proposed control scheme.