IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v362y2019ic51.html
   My bibliography  Save this article

Distributed fuzzy consensus of uncertain topology structure multi-agent systems with non-identical partially unknown control directions

Author

Listed:
  • Chen, Jiaxi
  • Li, Junmin
  • Zhang, Rui
  • Wei, Chengzhou

Abstract

This paper mainly studies the consensus problem for a class of multi-agent systems with uncertain topology structure and non-identical partially unknown control directions. Aiming at uncertain topology structure and unknown control directions, T-S fuzzy model and Nussbaum function are used, respectively. Under the assumption that uncertain topology structure is fuzzy union connected and only a small portion of followers have access to the information of leader, some new control protocols are presented to solve the consensus problem for the first-order and second-order nonlinear multi-agent systems, respectively. Furthermore, the designed consensus protocols can be extended to the formation control. At last, the validity of the proposed methods is verified by four simulation examples.

Suggested Citation

  • Chen, Jiaxi & Li, Junmin & Zhang, Rui & Wei, Chengzhou, 2019. "Distributed fuzzy consensus of uncertain topology structure multi-agent systems with non-identical partially unknown control directions," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    • Handle: RePEc:eee:apmaco:v:362:y:2019:i:c:51
    DOI: 10.1016/j.amc.2019.124581
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319305739
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.124581?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. Wang, Jing & Ru, Tingting & Xia, Jianwei & Wei, Yunliang & Wang, Zhen, 2019. "Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An H∞ event-triggered control scheme," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 235-251.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ding, Dong & Tang, Ze & Wang, Yan & Ji, Zhicheng, 2021. "Secure synchronization of complex networks under deception attacks against vulnerable nodes," Applied Mathematics and Computation, Elsevier, vol. 399(C).

    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. Zhang, Yingnan, 2019. "Controller synthesis for continuous T-S fuzzy systems with partly immeasurable premise variables," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    2. Nguyen, Ngoc Hoai An & Kim, Sung Hyun, 2021. "Asynchronous dissipative control design for semi-Markovian jump systems with uncertain probability distribution functions of sojourn-time," Applied Mathematics and Computation, Elsevier, vol. 397(C).
    3. Wu, Tianyu & Huang, Xia & Chen, Xiangyong & Wang, Jing, 2020. "Sampled-data H∞ exponential synchronization for delayed semi-Markov jump CDNs: A looped-functional approach," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    4. Suriguga, Ma & Kao, Yonggui & Hyder, Abd-Allah, 2020. "Uniform stability of delayed impulsive reaction–diffusion systems," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    5. Wang, Yudong & Xia, Jianwei & Wang, Zhen & Shen, Hao, 2020. "Design of a fault-tolerant output-feedback controller for thickness control in cold rolling mills," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    6. Dai, Mingcheng & Huang, Zhengguo & Xia, Jianwei & Meng, Bo & Wang, Jian & Shen, Hao, 2019. "Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systems," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    7. Xia, Weifeng & Xu, Shengyuan & Lu, Junwei & Li, Yongmin & Chu, Yuming & Zhang, Zhengqiang, 2021. "Event-triggered filtering for discrete-time Markovian jump systems with additive time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    8. Zhang, Huanjun & Yan, Zhiguo, 2020. "Backward stochastic optimal control with mixed deterministic controller and random controller and its applications in linear-quadratic control," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    9. Bao, Yuangui & Zhang, Yijun & Zhang, Baoyong, 2021. "Fixed-time synchronization of coupled memristive neural networks via event-triggered control," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    10. Zuo, Zhiqiang & Xie, Pengfei & Wang, Yijing, 2020. "Output-based dynamic event-triggering control for sensor saturated systems with external disturbance," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    11. Yin, Qitian & Wang, Mao & Jing, He, 2020. "Stabilizing backstepping controller design for arbitrarily switched complex nonlinear system," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    12. Xu, Tianbo & Gao, Xianwen & Qi, Wenhai & Wei, Yunliang, 2019. "Disturbance-observer-based control for semi-Markovian jump systems with generally uncertain transition rate and saturation nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    13. Ahmad, Israr, 2021. "A Lyapunov-based direct adaptive controller for the suppression and synchronization of a perturbed nuclear spin generator chaotic system," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    14. Jia, You & Wu, Huaiqin & Cao, Jinde, 2020. "Non-fragile robust finite-time synchronization for fractional-order discontinuous complex networks with multi-weights and uncertain couplings under asynchronous switching," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    15. Hu, Xiaohui & Xia, Jianwei & Wei, Yunliang & Meng, Bo & Shen, Hao, 2019. "Passivity-based state synchronization for semi-Markov jump coupled chaotic neural networks with randomly occurring time delays," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 32-41.
    16. Liu, Lizhi & Wang, Yinhe & Gao, Zilin, 2020. "Tracking control for the dynamic links of discrete-time complex dynamical network via state observer," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    17. Wang, Bo & Cheng, Jun & Zhou, Xia, 2020. "A multiple hierarchical structure strategy to quantized control of Markovian switching systems," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    18. Wang, Yuxiao & Cao, Yuting & Guo, Zhenyuan & Wen, Shiping, 2020. "Passivity and passification of memristive recurrent neural networks with multi-proportional delays and impulse," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    19. Fan, Gaofeng & Ma, Yuechao, 2023. "Fault-tolerant fixed/preassigned-time synchronization control of uncertain singularly perturbed complex networks with time-varying delay and stochastic disturbances," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    20. Xu, Changjin & Liao, Maoxin & Li, Peiluan & Guo, Ying & Xiao, Qimei & Yuan, Shuai, 2019. "Influence of multiple time delays on bifurcation of fractional-order neural networks," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 565-582.

    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:362:y:2019:i:c:51. 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.