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Distributed Bipartite Consensus of Multi-Agent Systems via Disturbance Rejection Control Strategy

Author

Listed:
  • Subramanian Manickavalli

    (Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India
    These authors contributed equally to this work.)

  • Arumugam Parivallal

    (School of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of Korea
    These authors contributed equally to this work.)

  • Ramasamy Kavikumar

    (School of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of Korea)

  • Boomipalagan Kaviarasan

    (Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram 522302, India)

Abstract

This work aims to focus on analyzing the consensus control problem in cooperative–competitive networks in the occurrence of external disturbances. The primary motive of this work is to employ the equivalent input-disturbance estimation technique to compensate for the impact of external disturbances in the considered multi-agent system. In particular, a suitable low-pass filter is implemented to enhance the accuracy of disturbance estimation performance. In addition, a specific signed, connected, and structurally balanced undirected communication graph with positive and negative edge weights is considered to express the cooperation–competition communication among neighboring agents. The cooperative–competitive multi-agent system reaches its final state with same magnitude and in opposite direction under the considered structurally balanced graph. By utilizing the properties of Lyapunov stability theory and graph theory, the adequate conditions assuring the bipartite consensus of the examined multi-agent system are established as linear matrix inequalities. An illustrative example is delivered at the end to check the efficacy of the designed control scheme.

Suggested Citation

  • Subramanian Manickavalli & Arumugam Parivallal & Ramasamy Kavikumar & Boomipalagan Kaviarasan, 2024. "Distributed Bipartite Consensus of Multi-Agent Systems via Disturbance Rejection Control Strategy," Mathematics, MDPI, vol. 12(20), pages 1-13, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:20:p:3225-:d:1499044
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    References listed on IDEAS

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    1. Abbasali Koochakzadeh & Mojtaba Naderi Soorki & Aydin Azizi & Kamran Mohammadsharifi & Mohammadreza Riazat, 2023. "Delay-Dependent Stability Region for the Distributed Coordination of Delayed Fractional-Order Multi-Agent Systems," Mathematics, MDPI, vol. 11(5), pages 1-13, March.
    2. Gao, Fang & Wu, Min & She, Jinhua & Cao, Weihua, 2016. "Disturbance rejection in nonlinear systems based on equivalent-input-disturbance approach," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 244-253.
    3. Wu, Jie & Deng, Qun & Han, Tao & Yang, Qing-Sheng & Zhan, Heng, 2019. "Bipartite tracking consensus for multi-agent systems with Lipschitz-Type nonlinear dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1360-1369.
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