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<p>This paper utilizes the internal model principle based method to analyze the effects of time delays on robust bipartite output regulation. In the considered system setting both input and communication delays are presented, unfortunately failing conventional protocols and closed-loop analysis tools. For such a challenge, a distributed protocol equipped with a dynamical compensator subject to communication delay is proposed without employing the information of the exosystem’s output, and a regulator equation with a matrix exponential function is utilized to characterize the dynamics of the closed-loop delayed system. Further, the protocol gains are shown to be determined in terms of the solution of a parametric algebraic Riccati equation, and sufficient conditions are obtained to describe robust bipartite output regulation with time delays. A simulation example illustrates the effectiveness of the proposed approach.</p>

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Robust Bipartite Output Regulation with Time Delays: An Internal Model Principle Based Approach

  • 期刊论文

  • 发表日期：

    2025年3月13日

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  • Jiashuo Liu,
  • Haowen Tan,
  • Cuiqin Ma

摘要

This paper utilizes the internal model principle based method to analyze the effects of time delays on robust bipartite output regulation. In the considered system setting both input and communication delays are presented, unfortunately failing conventional protocols and closed-loop analysis tools. For such a challenge, a distributed protocol equipped with a dynamical compensator subject to communication delay is proposed without employing the information of the exosystem’s output, and a regulator equation with a matrix exponential function is utilized to characterize the dynamics of the closed-loop delayed system. Further, the protocol gains are shown to be determined in terms of the solution of a parametric algebraic Riccati equation, and sufficient conditions are obtained to describe robust bipartite output regulation with time delays. A simulation example illustrates the effectiveness of the proposed approach.