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Fully distributed H∞ tracking control for multi-agent systems with prescribed-time convergence and external disturbances

Author

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  • Liu, Xin-Yu
  • Che, Wei-Wei

Abstract

This paper aims to design the prescribed-time fully distributed (PTFD) H∞ control strategy for multi-agent systems (MASs) subject to external disturbances to achieve the tracking control objective. First, the piecewise adaptive parameters depended on the prescribed-time function are designed in the proposed controller to achieve the prescribed-time stability while avoid using the eigenvalue information of the Laplacian matrix associated with the network topology, which is global. In addition, the H∞ performance method combined with the characteristic of the prescribed-time result is adopted to design the prescribed-time H∞ controller, which not only can improve the robustness of the system, but also enables the tracking error to converge to zero at the given prescribed time independent of the initial system conditions and controller parameters. Finally, simulation examples are given to verify the effectiveness of the proposed control protocol.

Suggested Citation

  • Liu, Xin-Yu & Che, Wei-Wei, 2026. "Fully distributed H∞ tracking control for multi-agent systems with prescribed-time convergence and external disturbances," Applied Mathematics and Computation, Elsevier, vol. 526(C).
    • Handle: RePEc:eee:apmaco:v:526:y:2026:i:c:s009630032600113x
    DOI: 10.1016/j.amc.2026.130061
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