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Distributed \({H_\infty }\) Consensus Problem for First-Order Multi-Agent Systems with Antagonistic Interactions and Nonconvex Constraints

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Abstract

This paper investigates the distributed \({H_\infty }\) consensus problem for a first-order multiagent system where both cooperative and antagonistic interactions coexist. In the presence of external disturbances, a distributed control algorithm using local information is addressed and a sufficient condition to get the \({H_\infty }\) control gain is obtained, which make the states of the agents in the same group converge to a common point while the inputs of each agent are constrained in the nonconvex sets. Finally, a numerical simulation is exhibited to illustrate the theory.

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Authors and Affiliations

  1. School of Automation, Central South University, Changsha, 410075, China

    Xinyu Fan, Shujin Chen & Xiaoli Wang

Authors
  1. Xinyu Fan
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  2. Shujin Chen
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  3. Xiaoli Wang
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Corresponding author

Correspondence to Xiaoli Wang.

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Fan, X., Chen, S. & Wang, X. Distributed \({H_\infty }\) Consensus Problem for First-Order Multi-Agent Systems with Antagonistic Interactions and Nonconvex Constraints. J Syst Sci Complex 36, 540–554 (2023). https://doi.org/10.1007/s11424-023-1250-9

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  • DOI: https://doi.org/10.1007/s11424-023-1250-9

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