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<p>This study investigates the issues of leader-following asymptotic synchronization in multi-agent systems (MASs) using a nonfragile retarded sampled-data control (NFRSDC) approach. First, a fixed directed interconnection topology is adopted to model the communication between leader and follower agents. Next, the NFRSDC scheme incorporates a time-varying delay to better reflect practical conditions. Finally, a straightforward linear transformation is applied to derive the error system. Compared to existing sampled-data control methods, the proposed nonfragile retarded sampled-data control (NFRSDC) offers a more practical solution by incorporating both signal communication delays and unknown parameters. Under these assumptions, a distributed NFRSDC scheme is developed using algebraic graph theory and Lyapunov-Krasovskii (LK) stability theory. The control law is formulated in terms of linear matrix inequalities (LMIs) for each follower node, guaranteeing asymptotic synchronization of the closed-loop error system. Finally, the efficacy of the proposed control strategy is validated through numerical simulation model.</p>

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Robust Retarded Sampled-Data Control Method of Multi-Agent Systems with Transmission Delay and Actuator Faults

  • 期刊论文

  • 发表日期：

    2026年5月14日

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  • Stephen Arockia Samy,
  • Young Hoon Joo,
  • Jae Hoon Jeong

摘要

This study investigates the issues of leader-following asymptotic synchronization in multi-agent systems (MASs) using a nonfragile retarded sampled-data control (NFRSDC) approach. First, a fixed directed interconnection topology is adopted to model the communication between leader and follower agents. Next, the NFRSDC scheme incorporates a time-varying delay to better reflect practical conditions. Finally, a straightforward linear transformation is applied to derive the error system. Compared to existing sampled-data control methods, the proposed nonfragile retarded sampled-data control (NFRSDC) offers a more practical solution by incorporating both signal communication delays and unknown parameters. Under these assumptions, a distributed NFRSDC scheme is developed using algebraic graph theory and Lyapunov-Krasovskii (LK) stability theory. The control law is formulated in terms of linear matrix inequalities (LMIs) for each follower node, guaranteeing asymptotic synchronization of the closed-loop error system. Finally, the efficacy of the proposed control strategy is validated through numerical simulation model.