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Distributed formation control of fractional-order multi-agent systems with absolute damping and communication delay

Author

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  • Jing Bai
  • Guoguang Wen
  • Ahmed Rahmani
  • Yongguang Yu

Abstract

The distributed formation control of fractional-order multi-agent systems is mainly studied under directed interaction topology in this paper. First, the control algorithm with absolute damping and communication delay is proposed to achieve the formation control. Then, some sufficient conditions are derived by using the matrix theory, graph theory and the frequency-domain analysis method. Finally, based on the numerical method of predictor–corrector, several simulations are presented to illustrate the effectiveness of the obtained results.

Suggested Citation

  • Jing Bai & Guoguang Wen & Ahmed Rahmani & Yongguang Yu, 2015. "Distributed formation control of fractional-order multi-agent systems with absolute damping and communication delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(13), pages 2380-2392, October.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2380-2392
    DOI: 10.1080/00207721.2014.998411
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    References listed on IDEAS

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    1. Christophe Tricaud & YangQuan Chen, 2010. "Time-Optimal Control of Systems with Fractional Dynamics," International Journal of Differential Equations, Hindawi, vol. 2010, pages 1-16, February.
    2. Zhengquan Yang & Qing Zhang & Zuolian Jiang & Zengqiang Chen, 2012. "Flocking of multi-agents with time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(11), pages 2125-2134.
    3. K.R. Guruprasad & Debasish Ghose, 2013. "Performance of a class of multi-robot deploy and search strategies based on centroidal voronoi configurations," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(4), pages 680-699.
    4. Hongjie Li, 2012. "Observer-Type Consensus Protocol for a Class of Fractional-Order Uncertain Multiagent Systems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, October.
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    Cited by:

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    3. Feifei Wang & Diyi Chen & Xinguang Zhang & Yonghong Wu, 2017. "Finite-time stability of a class of nonlinear fractional-order system with the discrete time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(5), pages 984-993, April.
    4. Jing Bai & Yongguang Yu, 2018. "Neural Networks Based Adaptive Consensus for a Class of Fractional-Order Uncertain Nonlinear Multiagent Systems," Complexity, Hindawi, vol. 2018, pages 1-10, November.
    5. Yuan, Xiaolin & Mo, Lipo & Yu, Yongguang, 2019. "Agreement coordination of fractional-order multi-agent systems with reaction–diffusion and persistent disturbances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 680-693.
    6. Liu, Jianjun & Zhai, Rui & Liu, Yuhan & Li, Wenliang & Wang, Bingzhe & Huang, Liyuan, 2021. "A quasi fractional order gradient descent method with adaptive stepsize and its application in system identification," Applied Mathematics and Computation, Elsevier, vol. 393(C).

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