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Continuous-time min-max consensus protocol: A unified approach

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  • Rezaei, Vahid
  • Khanmirza, Esmaeel

Abstract

In this paper, a new consensus protocol is designed for linear agents in the presence of a time-variant communication topology. Furthermore, we aim to present a fully distributed unified consensus protocol. Using the proposed protocol, each agent within a communication network can iteratively update its state to the maximum state of its neighbors, change it to the minimum state of the neighboring agents, or keep its state constant. In contrast to conventional consensus protocols, which strongly require the weights of communication graph links to have a positive lower bound for reaching consensus, our proposed protocol is not restricted by such a requirement and is able to make the agents converge under more general conditions. To accelerate the convergence rate and reduce the computational time relative to other conventional protocols, various operating modes (i.e., Tracker, Following, and Cross) are assigned to each agent within the communication network. Finally, to prove the practical merits of the proposed protocol and validate its performance, two numerical examples are presented here, one for a consensus problem, and another for a consensus-based formation problem.

Suggested Citation

  • Rezaei, Vahid & Khanmirza, Esmaeel, 2024. "Continuous-time min-max consensus protocol: A unified approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 292-310.
  • Handle: RePEc:eee:matcom:v:218:y:2024:i:c:p:292-310
    DOI: 10.1016/j.matcom.2023.11.020
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    References listed on IDEAS

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    1. Wei, Lili & Chen, Mou, 2022. "Distributed DETMs-based internal collision avoidance control for UAV formation with lumped disturbances," Applied Mathematics and Computation, Elsevier, vol. 433(C).
    2. Zhang, Li & Liu, Shuai, 2022. "Projected subgradient based distributed convex optimization with transmission noises," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    3. Li, Mingwu & Dankowicz, Harry, 2019. "Impact of temporal network structures on the speed of consensus formation in opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1355-1370.
    4. Yaghoubi, Zahra, 2020. "Robust cluster consensus of general fractional-order nonlinear multi agent systems via adaptive sliding mode controller," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 172(C), pages 15-32.
    5. Zhongguo Li & Zhengtao Ding, 2020. "Time-varying multi-objective optimisation over switching graphs via fixed-time consensus algorithms," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(15), pages 2793-2806, November.
    6. Ghommam, Jawhar & Saad, Maarouf & Mnif, Faisal, 2021. "Finite-time circular formation around a moving target with multiple underactuated ODIN vehicles," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 180(C), pages 230-250.
    7. Derakhshannia, Mehran & Moosapour, Seyyed Sajjad, 2022. "Disturbance observer-based sliding mode control for consensus tracking of chaotic nonlinear multi-agent systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 610-628.
    8. Liu, Xinrui & Zhang, Mingchao & Xie, Xiangpeng & Zhao, Liang & Sun, Qiuye, 2022. "Consensus-based energy management of multi-microgrid: An improved SoC-based power coordinated control method," Applied Mathematics and Computation, Elsevier, vol. 425(C).
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