A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Advanced Search
Volume 5 Issue 3
May  2018

IEEE/CAA Journal of Automatica Sinica

  • JCR Impact Factor: 15.3, Top 1 (SCI Q1)
    CiteScore: 23.5, Top 2% (Q1)
    Google Scholar h5-index: 77， TOP 5
Turn off MathJax
Article Contents
Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2018  >  5(3): 727-732
Hongyong Yang, Fuyong Wang and Fujun Han, "Containment Control of Fractional Order Multi-Agent Systems With Time Delays," IEEE/CAA J. Autom. Sinica, vol. 5, no. 3, pp. 727-732, Mar. 2018. doi: 10.1109/JAS.2016.7510211
Citation: Hongyong Yang, Fuyong Wang and Fujun Han, "Containment Control of Fractional Order Multi-Agent Systems With Time Delays," IEEE/CAA J. Autom. Sinica, vol. 5, no. 3, pp. 727-732, Mar. 2018. doi: 10.1109/JAS.2016.7510211
shu

Containment Control of Fractional Order Multi-Agent Systems With Time Delays

doi: 10.1109/JAS.2016.7510211

  • Department of Information and Electrical Engineering, Ludong University, Yantai 264025, China

Funds:

the National Natural Science Foundation of China 61273200

the National Natural Science Foundation of China 61273152

the National Natural Science Foundation of China 61202111

the National Natural Science Foundation of China 61304052

the National Natural Science Foundation of China 51407088

the Science Foundation of Education Office of Shandong Province of China ZR2011FM07

the Science Foundation of Education Office of Shandong Province of China BS2015DX018

More Information
    Abstract
  • In complex environments, many distributed multiagent systems are described with the fractional-order dynamics. In this paper, containment control of fractional-order multiagent systems with multiple leader agents are studied. Firstly, the collaborative control of fractional-order multi-agent systems (FOMAS) with multiple leaders is analyzed in a directed network without delays. Then, by using Laplace transform and frequency domain theorem, containment consensus of networked FOMAS with time delays is investigated in an undirected network, and a critical value of delays is obtained to ensure the containment consensus of FOMAS. Finally, numerical simulations are shown to verify the results.

     

    • FullText(HTML)
  • loading
    • References(26)
  • [1]
    A. Jadbabaie, J. Lin, and A. S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules, " IEEE Trans. Automat. Control, vol. 48, no. 6, pp. 988-1001, Jun. 2003. doi: 10.1109/TAC.2003.812781
    [2]
    R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of agents with switching topology and time-delays, " IEEE Trans. Automat. Control, vol. 49, no. 9, pp. 1520-1533, Sep. 2004. doi: 10.1109%2FTAC.2004.834113
    [3]
    W. Ren, R. W. Beard, and E. M. Atkins, "Information consensus in multivehicle cooperative control, " IEEE Control Syst. , vol. 27, no. 2, pp. 71-82, Apr. 2007. doi: 10.1109/MCS.2007.338264
    [4]
    S. H. Li, H. B. Du, and X. Z. Lin, "Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics, " Automatica, vol. 47, no. 8, pp. 1706-1712, Aug. 2011. doi: 10.1016/j.automatica.2011.02.045
    [5]
    F. Chen, Z. Q. Chen, L. Y. Xiang, Z. X. Liu, and Z. Z. Yuan, "Reaching a consensus via pinning control, " Automatica, vol. 45, no. 5, pp. 1215-1220, May 2009. doi: 10.1016/j.automatica.2008.12.027
    [6]
    H. Y. Yang, Z. X. Zhang, and S. Y. Zhang, "Consensus of second-order multi-agent systems with exogenous disturbances, " Int. J. Robust Nonlinear Control, vol. 21, no. 9, pp. 945-956, Jun. 2011. doi: 10.1002/rnc.1631/citedby
    [7]
    P. Lin and Y. M. Jia, "Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies, " Automatica, vol. 45, no. 9, pp. 2154-2158, Sep. 2009. doi: 10.1016/j.automatica.2009.05.002
    [8]
    J. Y. Yu and L. Wang, "Group consensus in multi-agent systems with switching topologies and communication delays, " Syst. Control Lett. , vol. 59, no. 6, pp. 340-348, Jun. 2010. http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=5400096
    [9]
    Y. P. Tian and C. L. Liu, "Consensus of multi-agent systems with diverse input and communication delays, " IEEE Trans. Automat. Control, vol. 53, no. 9, pp. 2122-2128, Oct. 2008. doi: 10.1109/TAC.2008.930184
    [10]
    H. Y. Yang, X. L. Zhu, and S. Y. Zhang, "Consensus of second-order delayed multi-agent systems with leader-following, " Eur. J. Control, vol. 16, no. 2, pp. 188-199, 2010. doi: 10.3166/ejc.16.188-199
    [11]
    M. Ji, G. Ferrari-Trecate, M. Egerstedt, and A. Buffa, "Containment control in mobile networks, " IEEE Trans. Automat. Control, vol. 53, no. 8, pp. 1972-1975, Sep. 2008. doi: 10.1109/TAC.2008.930098
    [12]
    H. Y. Liu, G. M. Xie, and L. Wang, "Necessary and sufficient conditions for containment control of networked multi-agent systems, " Automatica, vol. 48, no. 7, pp. 1415-1422, Jul. 2012. http://dl.acm.org/citation.cfm?id=2318343
    [13]
    Z. Y. Meng, W. Ren, and Z. You, "Distributed finite-time attitude containment control for multiple rigid bodies, " Automatica, vol. 46, no. 12, pp. 2092-2099, Dec. 2010. http://www.sciencedirect.com/science/article/pii/S0005109810003870
    [14]
    I. Podlubny, Fractional Differential Equations. San Diego, CA:Academic Press, 1999.
    [15]
    Y. Li, Y. Q. Chen, and I. Podlubny, "Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability, " Comput. Math. Appl. , vol. 59, no. 5, pp. 1810-1821, Mar. 2010. http://dl.acm.org/citation.cfm?id=1746943&preflayout=flat
    [16]
    Y. Q. Chen, H. S. Ahn, and I. Podlubny, "Robust stability check of fractional order linear time invariant systems with interval uncertainties, " Signal Process. , vol. 86, no. 10, pp. 2611-2618, Oct. 2006. http://www.sciencedirect.com/science/article/pii/S0165168406000478
    [17]
    W. Ren and Y. C. Cao, Distributed Coordination of Multi-agent Networks. London: Springer-Verlag, 2011.
    [18]
    J. Lu and Y. Q. Chen, "Stability and stabilization of fractional-order linear systems with convex polytopic uncertainties, " Fract. Calc. Appl. Anal. , vol. 16, no. 1, pp. 142-157, Mar. 2013. doi: 10.2478/s13540-013-0010-2
    [19]
    Y. Cao, Y. Li, W. Ren, and Y. Q. Chen, "Distributed coordination of networked fractional-order systems, " IEEE Trans. Syst. Man Cybern. B: Cybern. , vol. 40, no. 2, pp. 362-370, Apr. 2010. http://www.ncbi.nlm.nih.gov/pubmed/19589747
    [20]
    Y. C. Cao and W. Ren, "Distributed formation control for fractional-order systems: dynamic interaction and absolute/relative damping, " Syst. Control Lett. , vol. 59, no. 3-4, pp. 233-240, Mar. -Apr. 2010. doi: 10.1016/j.sysconle.2010.01.008
    [21]
    H. Y. Yang, X. L. Zhu, and K. C. Cao, "Distributed coordination of fractional order multi-agent systems with communication delays, " Fract. Calc. Appl. Anal. , vol. 17, no. 1, pp. 23-37, Mar. 2014. doi: 10.2478/s13540-014-0153-9
    [22]
    H. Y. Yang, L. Guo, Y. L. Zhang, and X. M. Yao, "Movement consensus of complex fractional-order multi-agent systems, " Acta Automat. Sinica, vol. 40, no. 3, pp. 489-496, Apr. 2014. http://en.cnki.com.cn/Article_en/CJFDTOTAL-MOTO201403012.htm
    [23]
    Y. C. Cao, D. Stuart, W. Ren, and Z. Y. Meng, "Distributed containment control for multiple autonomous vehicles with double-integrator dynamics: algorithms and experiments, " IEEE Trans. Control Syst. Technol. , vol. 19, no. 4, pp. 929-938, Jul. 2011.
    [24]
    K. E. Liu, G. M. Xie, and L. Wang, "Containment control for second-order multi-agent systems with time-varying delays, " Syst. Control Lett. , vol. 67, pp. 24-31, May 2014. http://www.sciencedirect.com/science/article/pii/S0167691114000024
    [25]
    J. Li, Z. H. Guan, R. Q. Liao, and D. X. Zhang, "Impulsive containment control for second-order networked multi-agent systems with sampled information, " Nonlinear Anal. : Hybrid Syst. , vol. 12, pp. 93-103, May 2014. http://www.ams.org/mathscinet-getitem?mr=3151375
    [26]
    J. Liu and J. Zhou, "Distributed impulsive containment control for second-order multi-agent systems with multiple leaders, " J. Vib. Control, vol. 22, no. 10, pp. 2458-2470, Sep. 2014.
    • Related Articles
    • Supplements(0)

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(4)

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (1222) PDF downloads(87) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return