<p>This paper deals with the problem of hybrid-triggered scheme (HTS) for networked control system (NCS) with time-varying delays and denial-of-service (DoS) attacks. Unlike previous studies on DoS attacks, this work proposes a two-sided looped functional approach combined with HTS and <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11785_2025_1829_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">\(H_{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> control, improving resilience and performance while reducing network bandwidth usage. Initially, the HTS is put forth after designing an uncertain NCS with external disturbances, where the switching procedure between time-triggered scheme (TTS) and event-triggered schemes (ETS) is described using Bernoulli distribution. Next, asymptotic stability (AS) for the closed-loop system is achieved based on Lyapunov-Krasovskii functionals (LKFs) and linear matrix inequalities (LMIs). MATLAB<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11785_2025_1829_Article_IEq2.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(^\circledR \)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>®</mo> </mmultiscripts> </math></EquationSource> </InlineEquation> is used to demonstrate the proposed strategy, with results presented through two numerical examples. Furthermore, under both conditions with DoS (WDoS) and without DoS (WODoS) attacks, the data on chaotic behaviour, system responses, and the moments when specific triggers occur are collected and analysed.</p>

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Hybrid-Triggered Control for Uncertain Networked Control System with Time-Varying Delay and DoS Attacks via Two-Sided Looped Functional

  • T. Narenshakthi,
  • S. Dharani

摘要

This paper deals with the problem of hybrid-triggered scheme (HTS) for networked control system (NCS) with time-varying delays and denial-of-service (DoS) attacks. Unlike previous studies on DoS attacks, this work proposes a two-sided looped functional approach combined with HTS and \(H_{\infty }\) H control, improving resilience and performance while reducing network bandwidth usage. Initially, the HTS is put forth after designing an uncertain NCS with external disturbances, where the switching procedure between time-triggered scheme (TTS) and event-triggered schemes (ETS) is described using Bernoulli distribution. Next, asymptotic stability (AS) for the closed-loop system is achieved based on Lyapunov-Krasovskii functionals (LKFs) and linear matrix inequalities (LMIs). MATLAB \(^\circledR \) ® is used to demonstrate the proposed strategy, with results presented through two numerical examples. Furthermore, under both conditions with DoS (WDoS) and without DoS (WODoS) attacks, the data on chaotic behaviour, system responses, and the moments when specific triggers occur are collected and analysed.