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.
Highlights
Networked control systems (NCSs) are such a class of systems connecting the sensor devices, control facilities and actuating units through a common communication network
This paper aims to handle the waste of network resources, quantization and filtering problems for NCSs with network-induced delays
Definition 1: The fuzzy filtering error system is asymptotically stable with an H∞ performance, if the following two conditions hold: 1) The filtering error system is asymptotically stable with w(t) = 0
Summary
Networked control systems (NCSs) are such a class of systems connecting the sensor devices, control facilities and actuating units through a common communication network. For the NCSs with network-induced delays, how to propose an appropriate event-triggered scheme and design a suitable filter is practically valuable and still unresolved in [16]–[18]. Tackling these issues is one of the motivation of the current paper. How to co-design the quantizer, filter and event-triggered scheme for NCSs is still needed This is another motivation of the current paper. This paper aims to handle the waste of network resources, quantization and filtering problems for NCSs with network-induced delays. In symmetric block matrices, ‘∗’ is used as ellipsis for terms induced by symmetric
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