Event-Triggered H$\infty$ Fuzzy Filtering for Networked Control Systems With Quantization and Delays

Abstract

This paper investigates the event-triggered $H_{\infty } $ filtering for networked control systems (NCSs) with quantization and network-induced delays. With consideration of the limited capacity of the communication channels in NCSs, a quantizer is proposed to quantize control signals before being transmitted into the next node. First, an event-triggered scheme is addressed between the quantizer and the fuzzy filter, which aims to mitigate transmission rate and improve the usage of network resource. Based on the event-triggered scheme, the fuzzy filtering error system is established with quantization and delays. Second, a novel Lyapunov-Krasovskii functional is constructed, and the Writinger inequality is used to deal with the integral item of the derivative of the Lyapunov-Krasovskii functional, which can obtain more useful items. Then, a new stability criterion is addressed to ensure that the filtering error system is asymptotically stable with a prescribe $H_{\infty } $ performance level. By introducing matrix decoupling technique, the fuzzy filter is designed without the coupling matrices. Finally, numerical simulations are given to show the effectiveness of the proposed method.