IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v453y2023ics0096300323002540.html
   My bibliography  Save this article

Consensus of nonlinear MAS via double nonidentical mode-dependent event-triggered switching control

Author

Listed:
  • Zhang, Meijie
  • Yang, Xinsong
  • Xiang, Zhengrong
  • Liu, Xiaoyang

Abstract

This paper investigates the global exponential consensus almost surely (GEC a.s.) of nonlinear multi-agent system (MAS) with switching topology via double nonidentical mode-dependent event-triggering mechanisms (ETMs). Considering the activated probability of switching modes, the transition probability (TP) and mode-dependent average dwell time (MDADT) are combined to propose a more practical switching rule. To save communication resources as much as possible, a set of nonidentical mode-dependent ETMs are designed, where the ETMs of each node are nonidentical and the ETM for controller-actuator (C-A) channel is designed on the basis of ETM for sensor-controller (S-C) channel. By designing a new Lyapunov-Krasovskii functional (LKF), sufficient conditions are derived to ensure the GEC a.s. of nonlinear MAS and the control gains are obtained by solving linear matrix inequalities (LMIs). Usually, the increment coefficient of LKF at switching instant must be larger than one, which will lead to conservatism. Our results remove this constraint condition and do not require each mode of the consensus error system to be stable. A numerical example is provided to demonstrate the effectiveness and feasibility of the theoretical analysis.

Suggested Citation

  • Zhang, Meijie & Yang, Xinsong & Xiang, Zhengrong & Liu, Xiaoyang, 2023. "Consensus of nonlinear MAS via double nonidentical mode-dependent event-triggered switching control," Applied Mathematics and Computation, Elsevier, vol. 453(C).
    • Handle: RePEc:eee:apmaco:v:453:y:2023:i:c:s0096300323002540
    DOI: 10.1016/j.amc.2023.128085
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300323002540
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2023.128085?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. He, Xiaoyan & Wang, Qingyun & Yu, Wenwu, 2015. "Distributed finite-time containment control for second-order nonlinear multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 509-521.
    2. Guo, Xiyue & Liang, Hongjing & Pan, Yingnan, 2020. "Observer-Based Adaptive Fuzzy Tracking Control for Stochastic Nonlinear Multi-Agent Systems with Dead-Zone Input," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    3. Yujiao Liu & Rongqiang Tang & Chao Zhou & Zhengrong Xiang & Xinsong Yang, 2020. "Event-triggered leader-following consensus of multiple mechanical systems with switched dynamics," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(16), pages 3563-3572, December.
    4. Chen, Liping & Li, Xiaomin & Chen, YangQuan & Wu, Ranchao & Lopes, António M. & Ge, Suoliang, 2022. "Leader-follower non-fragile consensus of delayed fractional-order nonlinear multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    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. Zhao, Lin & Jia, Yingmin & Yu, Jinpeng & Du, Junping, 2017. "H∞ sliding mode based scaled consensus control for linear multi-agent systems with disturbances," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 375-389.
    2. Gao, Shanshan & Zhang, Shenggui & Chen, Xinzhuang & Song, Xiaodi, 2023. "Effects of adding arcs on the consensus convergence rate of leader-follower multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 453(C).
    3. He, Xiaoyan & Wang, Qingyun, 2017. "Distributed finite-time leaderless consensus control for double-integrator multi-agent systems with external disturbances," Applied Mathematics and Computation, Elsevier, vol. 295(C), pages 65-76.
    4. He, Xiaoyan & Hao, Yuqing & Wang, Qingyun, 2019. "Leaderless finite-time consensus for second-order Lipschitz nonlinear multi-agent systems with settling time estimation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 280-289.
    5. Jeong, Juyoung & Lim, Yongdo & Parivallal, Arumugam, 2023. "An asymmetric Lyapunov-Krasovskii functional approach for event-triggered consensus of multi-agent systems with deception attacks," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    6. Chen, Wei & Yu, Yongguang & Hai, Xudong & Ren, Guojian, 2022. "Adaptive quasi-synchronization control of heterogeneous fractional-order coupled neural networks with reaction-diffusion," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    7. Yi, Jiale, 2023. "Adaptive fuzzy connectivity-preserving consensus protocols for stochastic strict-feedback nonlinear MASs subject to unmeasured periodic disturbances," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    8. Liu, Yifan & Su, Housheng, 2019. "Containment control of second-order multi-agent systems via intermittent sampled position data communication," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    9. Peng, Yanru & Xu, Shengyuan, 2023. "Adaptive tracking control for a class of stochastic nonlinear systems with full-state constraints and dead-zone," Applied Mathematics and Computation, Elsevier, vol. 452(C).
    10. Li, Zanhua & Chen, Xiangyong & Ding, Shihong & Liu, Yang & Qiu, Jianlong, 2020. "TCP/AWM network congestion algorithm with funnel control and arbitrary setting time," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    11. Song, Xingxing & Lu, Hongqian & Xu, Yao & Zhou, Wuneng, 2022. "H∞ synchronization of semi-Markovian jump neural networks with random sensor nonlinearities via adaptive event-triggered output feedback control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 1-19.
    12. Zhu, Jun-Wei & Zhou, Qiao-Qian & Wu, Li-Bing & Xu, Jian-Ming & Wang, Xin, 2021. "Topology reconstruction based fault identification for uncertain multi-agent systems with application to multi-axis motion control system," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    13. Du, Yingxue & Wang, Yijing & Zuo, Zhiqiang & Zhang, Wentao, 2022. "Event-triggered bipartite consensus for multi-agent systems subject to multiplicative and additive noises," Applied Mathematics and Computation, Elsevier, vol. 429(C).
    14. Zhao, Guangtong & Cao, Liang & Li, Xiaomeng & Zhou, Qi, 2022. "Observer-based dynamic event-triggered control for nonstrict-feedback stochastic nonlinear multiagent systems," Applied Mathematics and Computation, Elsevier, vol. 430(C).

    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:apmaco:v:453:y:2023:i:c:s0096300323002540. 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.