<p>This paper examines the issue of fixed-time bipartite consensus in heterogeneous multi-agent systems (HMASs) that are subject to external disturbances. We propose an integral sliding mode control strategy that incorporates a saturation function to mitigate the effects of these disturbances within a directed communication topology. By employing Lyapunov stability analysis, we derive rigorous theoretical conditions that ensure the fixed-time convergence of the bipartite consensus error. The robustness of the proposed control scheme against bounded disturbances is established through analytical methods. Numerical simulations corroborate the theoretical findings and illustrate the effectiveness of the proposed scheme.</p>

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Fixed-Time Bipartite Consensus of Heterogeneous Multi-agent Systems with Disturbances via an Integral Sliding Mode Control

  • Xionghui Tang,
  • Xisheng Zhan,
  • Lingyan Wang,
  • Jie Wu

摘要

This paper examines the issue of fixed-time bipartite consensus in heterogeneous multi-agent systems (HMASs) that are subject to external disturbances. We propose an integral sliding mode control strategy that incorporates a saturation function to mitigate the effects of these disturbances within a directed communication topology. By employing Lyapunov stability analysis, we derive rigorous theoretical conditions that ensure the fixed-time convergence of the bipartite consensus error. The robustness of the proposed control scheme against bounded disturbances is established through analytical methods. Numerical simulations corroborate the theoretical findings and illustrate the effectiveness of the proposed scheme.