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<p>This paper addresses the tracking control problem for a class of discrete-time networked Markov jump systems (NMJSs) exposed to cyber-attacks. A Bernoulli random variable with uncertain occurrence probability is used to characterize the randomness of deception attacks on transmitted data. Furthermore, the proposed tracking controller design is more comprehensive, as it unifies mode-dependent and mode-independent features within a single framework. By employing a novel stochastic Lyapunov functional combined with a zero equality, a new sufficient condition is proposed to ensure the stochastic stability of the resulting closed-loop system with a prescribed <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11081_2025_9989_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> performance level. Based on this sufficient condition, a solvability condition for the desired tracking controller is derived using linear matrix inequalities (LMIs). The feasibility and advantages of the proposed theory are demonstrated through a numerical example with simulation and a practical application to a single-link robot arm.</p>

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Tracking control for networked Markov-jump systems subject to cyber attacks with application to a single-link robot arm

  • 期刊论文

  • 发表日期：

    2025年6月21日

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  • Khalid Badie,
  • Zakaria Chalh,
  • Soukaina El Daoudi

摘要

This paper addresses the tracking control problem for a class of discrete-time networked Markov jump systems (NMJSs) exposed to cyber-attacks. A Bernoulli random variable with uncertain occurrence probability is used to characterize the randomness of deception attacks on transmitted data. Furthermore, the proposed tracking controller design is more comprehensive, as it unifies mode-dependent and mode-independent features within a single framework. By employing a novel stochastic Lyapunov functional combined with a zero equality, a new sufficient condition is proposed to ensure the stochastic stability of the resulting closed-loop system with a prescribed \(H_\infty \) H ∞ performance level. Based on this sufficient condition, a solvability condition for the desired tracking controller is derived using linear matrix inequalities (LMIs). The feasibility and advantages of the proposed theory are demonstrated through a numerical example with simulation and a practical application to a single-link robot arm.