Adaptive Fixed-Time Event-Triggered Fuzzy Control for Time-Delay Nonlinear Systems With Disturbances and Quantization

This work investigates the adaptive fixed-time disturbance rejection control issue for a class of time-delay nonlinear systems subject to event-triggered and quantized input signals. First, a disturbance observer is proposed to promote the controller design. Compared with the related disturbance observer design, the observer designed in this article can be used to construct the fixed-time control scheme. Then, combined with the backstepping technique and fuzzy logic systems, an adaptive fuzzy event-triggered and quantized fixed-time control scheme is designed. Moreover, to deal with the unknown time delays, the Lyapunov–Krasovskii functional method is utilized to achieve the system stability. The proposed control algorithm reduces the transmission burden of the data channel with a new combined event-based sampling and quantization and improves the robustness of the time-delay nonlinear system. Finally, a numerical example and a practical example are given to validate the feasibility of the control scheme.