IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v218y2024icp292-310.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475423004810
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2023.11.020?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. 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.
    3. 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.
    4. 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).
    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. Zhang, Li & Liu, Shuai, 2022. "Projected subgradient based distributed convex optimization with transmission noises," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    8. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Afkar, Mohammad & Gavagsaz-Ghoachani, Roghayeh & Phattanasak, Matheepot & Pierfederici, Serge, 2024. "Voltage-balancing of two controllers for a DC-DC converter-based DC microgrid with experimental verification," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 221(C), pages 159-179.
    3. Wu, Shuang & Ye, Dan & Shao, Xinfeng, 2023. "Event-based distributed resilient control strategy for microgrids subject to disturbances and hybrid attacks," Applied Mathematics and Computation, Elsevier, vol. 459(C).
    4. Charcon, D.Y. & Monteiro, L.H.A., 2020. "A multi-agent system to predict the outcome of a two-round election," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    5. Wang, Chaoqian, 2021. "Opinion dynamics with bilateral propaganda and unilateral information blockade," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    6. Xu, Lin-Xing & Wang, Yu-Long & Wang, Fei & Long, Yue, 2023. "Event-triggered active disturbance rejection trajectory tracking control for a quadrotor unmanned aerial vehicle," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    7. Xiong, Menghui & Zhang, Baoyong & Yuan, Deming & Zhang, Yijun & Chen, Jun, 2023. "Event-triggered distributed online convex optimization with delayed bandit feedback," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    8. Otkel, Madina & Ganesan, Soundararajan & Rajan, Rakkiyappan & Kashkynbayev, Ardak, 2024. "Finite-time/fixed-time synchronization of memristive shunting inhibitory cellular neural networks via sliding mode control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 222(C), pages 252-263.
    9. Xiong, Shi-Xun & Xie, Xiang-Peng & Jiang, Guo-Ping & Chen, Meng-ting, 2024. "Prescribed time formation synchronous tracking of unmanned aerial vehicles with denial of service attacks," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    10. Zhang, Xiulan & Shi, Jiangteng & Liu, Heng & Chen, Fangqi, 2024. "Adaptive fuzzy event-triggered cooperative control for fractional-order delayed multi-agent systems with unknown control direction," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 552-566.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:218:y:2024:i:c:p:292-310. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.