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Consensus Control of Hierarchical Multi-agent Systems with Constant and Time-Varying Delays

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Abstract

In this paper, the consensus problem of hierarchical multi-agent systems has been addressed. A novel approach is employed to divide the agents into different groups with different number of agents. In each group, agents communicate with each other under a constant delay. However, the groups in the upper layer interact with each other with a time-varying delay. The topologies of the groups are also considered to be different. In order to prove the stability of the system, a Lyapunov–Krasovskii functional is employed, and proper conditions for the consensus of this hierarchical system are provided via LMIs. Finally, the results of this research are validated through simulations.

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Authors and Affiliations

  1. Control Engineering Department, Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran

    Amir Rikhtegar Ghiasi, Hassan Dehghani Aghbolagh, Farzad Hashemzadeh & Mahdi Baradarannia

Authors
  1. Amir Rikhtegar Ghiasi
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  2. Hassan Dehghani Aghbolagh
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  3. Farzad Hashemzadeh
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  4. Mahdi Baradarannia
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Corresponding author

Correspondence to Hassan Dehghani Aghbolagh.

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Rikhtegar Ghiasi, A., Dehghani Aghbolagh, H., Hashemzadeh, F. et al. Consensus Control of Hierarchical Multi-agent Systems with Constant and Time-Varying Delays. Iran J Sci Technol Trans Electr Eng 42, 479–484 (2018). https://doi.org/10.1007/s40998-018-0089-x

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  • DOI: https://doi.org/10.1007/s40998-018-0089-x

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