<p>This article addresses the prescribed-time practical bipartite consensus problem for multi-agent systems (MASs) with cooperative and antagonistic interactions. A prescribed-time control protocol is proposed to achieve practical bipartite consensus in leaderless disturbed nonlinear MASs. In this protocol, bounded time-varying scaling functions are introduced to regulate the convergence rate and control magnitude. Unlike conventional finite-time and fixed-time consensus approaches, the protocol allows the convergence time to be freely assigned, independent of system parameters. To further reduce communication overhead, a dynamic event-triggered mechanism (DETM) is introduced, in which dynamic thresholds are employed to prevent unnecessary triggering, and the absence of Zeno behavior is proven. Moreover, the overall control strategy is extended to leader-following MASs for prescribed-time bipartite tracking. Finally, the effectiveness of the proposed control strategies for both leaderless and leader-following MASs is validated through three simulation examples.</p>

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Prescribed-time practical bipartite consensus for multi-agent systems under dynamic event-triggered mechanism

  • Yizheng Cai,
  • Jinfeng Gao,
  • Lebao Li,
  • Peter Xiaoping Liu

摘要

This article addresses the prescribed-time practical bipartite consensus problem for multi-agent systems (MASs) with cooperative and antagonistic interactions. A prescribed-time control protocol is proposed to achieve practical bipartite consensus in leaderless disturbed nonlinear MASs. In this protocol, bounded time-varying scaling functions are introduced to regulate the convergence rate and control magnitude. Unlike conventional finite-time and fixed-time consensus approaches, the protocol allows the convergence time to be freely assigned, independent of system parameters. To further reduce communication overhead, a dynamic event-triggered mechanism (DETM) is introduced, in which dynamic thresholds are employed to prevent unnecessary triggering, and the absence of Zeno behavior is proven. Moreover, the overall control strategy is extended to leader-following MASs for prescribed-time bipartite tracking. Finally, the effectiveness of the proposed control strategies for both leaderless and leader-following MASs is validated through three simulation examples.