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

Abstract

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 paper can be used to construct the fixed-time control scheme. Then, combined with the backstepping technique and fuzzy logic systems (FLSs), 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 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.