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Distributed robust finite-time nonlinear consensus protocols for multi-agent systems

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  • Zongyu Zuo
  • Lin Tie

Abstract

This paper investigates the robust finite-time consensus problem of multi-agent systems in networks with undirected topology. Global nonlinear consensus protocols augmented with a variable structure are constructed with the aid of Lyapunov functions for each single-integrator agent dynamics in the presence of external disturbances. In particular, it is shown that the finite settling time of the proposed general framework for robust consensus design is upper bounded for any initial condition. This makes it possible for network consensus problems to design and estimate the convergence time offline for a multi-agent team with a given undirected information flow. Finally, simulation results are presented to demonstrate the performance and effectiveness of our finite-time protocols.

Suggested Citation

  • Zongyu Zuo & Lin Tie, 2016. "Distributed robust finite-time nonlinear consensus protocols for multi-agent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1366-1375, April.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1366-1375
    DOI: 10.1080/00207721.2014.925608
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    Cited by:

    1. Hu, Jingting & Sui, Guixia & Li, Xiaodi, 2020. "Fixed-time synchronization of complex networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    2. Runze Chen & Zhenling Wang & Weiwei Che, 2022. "Adaptive Sliding Mode Attitude-Tracking Control of Spacecraft with Prescribed Time Performance," Mathematics, MDPI, vol. 10(3), pages 1-18, January.
    3. Luke Li & Dongshu Wang, 2022. "On Finite/Fixed-Time Stability Theorems of Discontinuous Differential Equations," Mathematics, MDPI, vol. 10(13), pages 1-14, June.
    4. Shafaat Ullah & Laiq Khan & Irfan Sami & Ghulam Hafeez & Fahad R. Albogamy, 2021. "A Distributed Hierarchical Control Framework for Economic Dispatch and Frequency Regulation of Autonomous AC Microgrids," Energies, MDPI, vol. 14(24), pages 1-23, December.
    5. Yilun Shang & Yamei Ye, 2017. "Leader-Follower Fixed-Time Group Consensus Control of Multiagent Systems under Directed Topology," Complexity, Hindawi, vol. 2017, pages 1-9, March.
    6. Cai, Yuliang & Dai, Jing & Zhang, Huaguang & Wang, Yingchun, 2021. "Fixed-time leader-following/containment consensus of nonlinear multi-agent systems based on event-triggered mechanism," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    7. Shirkavand, Mehrdad & Pourgholi, Mahdi, 2018. "Robust fixed-time synchronization of fractional order chaotic using free chattering nonsingular adaptive fractional sliding mode controller design," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 135-147.
    8. Cui, Guozeng & Xu, Hui & Yu, Jinpeng & Ma, Jiali & Li, Ze, 2023. "Fixed-time distributed adaptive attitude control for multiple QUAVs with quantized input," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    9. Guo, Wanli & He, Wennuo & Shi, Lili & Sun, Wen & Lu, Xiaoqing, 2021. "Fixed-time consensus tracking for nonlinear stochastically disturbed multi-agent systems via discontinuous protocols," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    10. Zhang, Wanli & Yang, Xinsong & Yang, Shiju & Alsaedi, Ahmed, 2021. "Finite-time and fixed-time bipartite synchronization of complex networks with signed graphs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 319-329.
    11. Mohamed Zaery & Panbao Wang & Wei Wang & Dianguo Xu, 2022. "A Novel Optimal Power Allocation Control System with High Convergence Rate for DC Microgrids Cluster," Energies, MDPI, vol. 15(11), pages 1-22, May.
    12. Gao, Shuo & Wen, Guoguang & Zhai, Xiaoqin & Zheng, Peng, 2023. "Finite-/fixed-time bipartite consensus for first-order multi-agent systems via impulsive control," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    13. Dutta, Maitreyee & Roy, Binoy Krishna, 2021. "A new memductance-based fractional-order chaotic system and its fixed-time synchronisation," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    14. Yaosong Long & Chao Ou & Chengjun Shan & Zhongtao Cheng, 2023. "A Novel Fixed-Time Convergence Guidance Law against Maneuvering Targets," Mathematics, MDPI, vol. 11(9), pages 1-15, April.
    15. Zhiyong Luo & Hongliang Liu & Zigen Ouyang, 2023. "Fixed-Time Formation Tracking Control of Nonlinear Multi-Agent Systems with Directed Topology and Disturbance," Mathematics, MDPI, vol. 11(13), pages 1-17, June.
    16. Kanchanaharuthai, Adirak & Mujjalinvimut, Ekkachai, 2022. "Fixed-time command-filtered backstepping control design for hydraulic turbine regulating systems," Renewable Energy, Elsevier, vol. 184(C), pages 1091-1103.
    17. Youhao Hu & Bowang Zhang & Weikang Hu & Wei Han, 2023. "ELM-Based Adaptive Practical Fixed-Time Voltage Regulation in Wireless Power Transfer System," Energies, MDPI, vol. 16(3), pages 1-19, January.
    18. Xing, Ying & He, Xinyi & Li, Xiaodi, 2023. "Lyapunov conditions for finite-time stability of disturbed nonlinear impulsive systems," Applied Mathematics and Computation, Elsevier, vol. 440(C).

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