Anti-windup design for networked time-delay systems subject to saturating actuators under round-robin protocol

This paper investigates the anti-windup design for networked time-delay systems subject to saturating actuators under the round-robin protocol. Firstly, the actual measurement output is represented by the model that is dependent on a periodic function. Then, using the generalized delay-dependent sec...

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Published inApplied mathematics and computation Vol. 499; p. 129413
Main Authors Chen, Yonggang, Zhao, Yaxue, Gu, Zhou, Yang, Xinfen
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.08.2025
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Abstract This paper investigates the anti-windup design for networked time-delay systems subject to saturating actuators under the round-robin protocol. Firstly, the actual measurement output is represented by the model that is dependent on a periodic function. Then, using the generalized delay-dependent sector condition, the augmented periodic Lyapunov-Krasovskii functional together with certain inequalities, an anti-windup design criterion is derived based on linear matrix inequalities under which the closed-loop systems have the desirable properties such as boundedness, H∞ performance, and asymptotic stability. The corresponding results are also presented for the case of constant delay and the case of no time delay. Moreover, the relevant optimizations in the main results are discussed. In the end, two numerical examples illustrate the availability and advantages of the proposed results. •Anti-windup design criteria are obtained for networked systems with state delay and actuator constraints under the round-robin protocol.•Delay-dependent sector conditions are proposed to reduce the inherent conservatism of the obtained results.•Augmented periodic Lyapunov-Krasovskii functionals are constructed to analyze the closed-loop systems in a less conservative way.
AbstractList This paper investigates the anti-windup design for networked time-delay systems subject to saturating actuators under the round-robin protocol. Firstly, the actual measurement output is represented by the model that is dependent on a periodic function. Then, using the generalized delay-dependent sector condition, the augmented periodic Lyapunov-Krasovskii functional together with certain inequalities, an anti-windup design criterion is derived based on linear matrix inequalities under which the closed-loop systems have the desirable properties such as boundedness, H∞ performance, and asymptotic stability. The corresponding results are also presented for the case of constant delay and the case of no time delay. Moreover, the relevant optimizations in the main results are discussed. In the end, two numerical examples illustrate the availability and advantages of the proposed results. •Anti-windup design criteria are obtained for networked systems with state delay and actuator constraints under the round-robin protocol.•Delay-dependent sector conditions are proposed to reduce the inherent conservatism of the obtained results.•Augmented periodic Lyapunov-Krasovskii functionals are constructed to analyze the closed-loop systems in a less conservative way.
ArticleNumber 129413
Author Gu, Zhou
Yang, Xinfen
Zhao, Yaxue
Chen, Yonggang
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Keywords Anti-windup design
Networked time-delay systems
Round-robin protocol
Saturating actuators
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Snippet This paper investigates the anti-windup design for networked time-delay systems subject to saturating actuators under the round-robin protocol. Firstly, the...
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elsevier
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StartPage 129413
SubjectTerms Anti-windup design
Networked time-delay systems
Round-robin protocol
Saturating actuators
Title Anti-windup design for networked time-delay systems subject to saturating actuators under round-robin protocol
URI https://dx.doi.org/10.1016/j.amc.2025.129413
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