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Distributed Optimization Control for Heterogeneous Multiagent Systems under Directed Topologies

Author

Listed:
  • Jingyi Wang

    (School of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, China)

  • Danqi Liu

    (School of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, China)

  • Jianwen Feng

    (School of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, China)

  • Yi Zhao

    (School of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, China)

Abstract

This paper focuses on the solutions for the distributed optimization coordination problem (DOCP) for heterogeneous multiagent systems under directed topologies. To begin with, a different convex optimization problem is proposed, which implies a weighted average of the objective function of each agent. Sufficient conditions are set to ensure the unique solution for the DOCP. Then, despite the external disruption, a distributed control mechanism is constructed to drive the state of each agent to the auxiliary state in a finite time. Furthermore, it is demonstrated that the outputs of all agents can achieve the optimal value, ensuring global convergence. Moreover, the controller design rule is expanded with event-triggered communication, and there is no Zeno behavior. Finally, to exemplify the usefulness of the theoretical conclusions, a simulation example is offered.

Suggested Citation

  • Jingyi Wang & Danqi Liu & Jianwen Feng & Yi Zhao, 2023. "Distributed Optimization Control for Heterogeneous Multiagent Systems under Directed Topologies," Mathematics, MDPI, vol. 11(6), pages 1-16, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:6:p:1479-:d:1100543
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    References listed on IDEAS

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    1. Liu, Chao & Li, Rong & Liu, Bo, 2022. "Group-bipartite consensus of heterogeneous multi-agent systems over signed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 592(C).
    2. Chen, Chong & Zhou, Xuan & Li, Zhuo & He, Zhiheng & Li, Zhengtian & Lin, Xiangning, 2018. "Novel complex network model and its application in identifying critical components of power grid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 316-329.
    3. Cai, Shuiming & Zhou, Feilong & He, Qinbin, 2019. "Fixed-time cluster lag synchronization in directed heterogeneous community networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 128-142.
    4. Ruan, Xiaoli & Xu, Chen & Feng, Jianwen & Wang, Jingyi & Zhao, Yi, 2022. "Adaptive dynamic event-triggered control for multi-agent systems with matched uncertainties under directed topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).
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    Cited by:

    1. Ankang Zhang & Xiaoling Wang, 2023. "RBFNN-Based Distributed Coverage Control on an Unknown Region," Mathematics, MDPI, vol. 12(1), pages 1-18, December.

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