Command Filtered Adaptive Fuzzy Event-Triggered Control for Stochastic Time-Delay Nonlinear System With Time-Varying Output Constraints

In this article, an adaptive fuzzy event-triggered tracking control strategy is proposed for stochastic time-delay nonlinear systems with time-varying output constraints based on command filtered technology. First, we combine a barrier Lyapunov function with the backstepping method to deal with the time-varying asymmetric output constraints. Simultaneously, the Lyapunov–Krasovskii functional is employed to compensate for the effect of time-delay. Second, a command filtered technique is introduced to address the “explosion of complexity” issue caused by the backstepping process. Furthermore, an error compensation mechanism is established to mitigate the effects of the error generated by the command filter. Subsequently, the universal approximation capability of the fuzzy logic system is utilized to handle the system's unknown nonlinear terms. Notably, the design of the event-triggered mechanism is effective in significantly reducing the communication burden and enhancing resource utilization. The presented control scheme not only guarantees that all signals in the closed-loop system are semi-globally uniformly ultimately bounded but also remains free of Zeno behavior without violating the output constraints. Finally, two simulation examples validate the feasibility of the scheme.