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<p>This study investigates a fully distributed event-triggered consensus control problem for nonlinear multiagent systems (MASs). Initially, a polynomial fuzzy model is adopted to describe the nonlinear error dynamics of leader-following MASs. Subsequently, an edge-based event-triggered mechanism is proposed to asynchronously transmit the agent’s state to its neighbors. Based on this mechanism, a novel asynchronous event-triggered control protocol is proposed to accomplish the consensus task. Meanwhile, the control protocol is fully distributed and uses only information about the neighboring agents and itself. Furthermore, sufficient conditions based on the sum-of-squares are obtained to achieve asymptotic consensus for the studied systems with a strictly dissipative performance by constructing an <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11071_2024_10805_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="11" /> </InlineMediaObject> <EquationSource Format="TEX">\(\varepsilon \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ε</mi> </math></EquationSource> </InlineEquation>-dependent Lyapunov function. Finally, a chaotic circuit example is provided to illustrate the validity of the proposed scheme by comparisons.</p>

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Fully distributed event-triggered consensus for nonlinear multi-time-scale multiagent systems

  • 期刊论文

  • 发表日期：

    2025年1月11日

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  • Zhen Zhang,
  • Wei-Wei Che

摘要

This study investigates a fully distributed event-triggered consensus control problem for nonlinear multiagent systems (MASs). Initially, a polynomial fuzzy model is adopted to describe the nonlinear error dynamics of leader-following MASs. Subsequently, an edge-based event-triggered mechanism is proposed to asynchronously transmit the agent’s state to its neighbors. Based on this mechanism, a novel asynchronous event-triggered control protocol is proposed to accomplish the consensus task. Meanwhile, the control protocol is fully distributed and uses only information about the neighboring agents and itself. Furthermore, sufficient conditions based on the sum-of-squares are obtained to achieve asymptotic consensus for the studied systems with a strictly dissipative performance by constructing an \(\varepsilon \) ε -dependent Lyapunov function. Finally, a chaotic circuit example is provided to illustrate the validity of the proposed scheme by comparisons.