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 1
Jan.  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(1): 232-239
Long Ma, Haibo Min, Shicheng Wang, Yuan Liu and Zhiguo Liu, "Distributed Containment Control of Networked Nonlinear Second-order Systems With Unknown Parameters," IEEE/CAA J. Autom. Sinica, vol. 5, no. 1, pp. 232-239, Jan. 2018. doi: 10.1109/JAS.2016.7510235
Citation: Long Ma, Haibo Min, Shicheng Wang, Yuan Liu and Zhiguo Liu, "Distributed Containment Control of Networked Nonlinear Second-order Systems With Unknown Parameters," IEEE/CAA J. Autom. Sinica, vol. 5, no. 1, pp. 232-239, Jan. 2018. doi: 10.1109/JAS.2016.7510235
shu

Distributed Containment Control of Networked Nonlinear Second-order Systems With Unknown Parameters

doi: 10.1109/JAS.2016.7510235
  • 1.

    Unit 96630 of PLA, Beijing 102206, China

  • 2.

    High-tech Institute of Xi'an, Xi'an 710025, China

Funds:

the National Natural Science Foundation of China 61203354

More Information
    Abstract
  • In this paper, we study the containment control problem for nonlinear second-order systems with unknown parameters and multiple stationary/dynamic leaders. The topologies that characterize the interaction among the leaders and the followers are directed graphs. Necessary and sufficient criteria which guarantee the control objectives are established for both stationary leaders (regulation case) and dynamic leaders (dynamic tracking case) based protocols. The final states of all the followers are exclusively determined by the initial values of the leaders and the topology structures. In the regulation case, all the followers converge into the convex hull spanned by the leaders, while in the dynamic tracking case, not only the positions of the followers converge into the convex hull but also the velocities of the followers converge into the velocity convex hull of the leaders. Finally, all the theoretical results are illustrated by numerical simulations.

     

    • FullText(HTML)
  • loading
    • References(40)
  • [1]
    L. Galbusera, G. Ferrari-Trecate, and R. Scattolini, "A hybrid model predictive control scheme for containment and distributed sensing in multi-agent systems, " Syst. Control Lett., vol. 62, pp. 413-419, 2013. http://www.sciencedirect.com/science/article/pii/S0167691113000388
    [2]
    J. Reimann and G. Vachtsevanos, "UAVs in urban operations: target interception and containment, " J. Intell. Robot. Syst., vol. 47, no. 4, pp. 383-396, Dec. 2006. doi: 10.1007/s10846-006-9089-6
    [3]
    R. Haghighi and C. C. Cheah, "Multi-group coordination control for robot swarms, " Automatica, vol. 48, no. 10, pp. 2526-2534, Oct. 2012. http://www.sciencedirect.com/science/article/pii/S0005109812002658
    [4]
    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://dl.acm.org/citation.cfm?id=1889534
    [5]
    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, Sept. 2008. http://ieeexplore.ieee.org/document/4631516/
    [6]
    Y. C. Cao and W. Ren, "Containment control with multiple stationary or dynamic leaders under a directed interaction graph, " In Proc. 48th IEEE Conf. Decision and Control, Shanghai, China, 2009, pp. 3014-3019. http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=5399946
    [7]
    H. Y. Liu, L. Cheng, M. Tan, and Z. G. Hou, "Containment control of continuous-time linear multi-agent systems with aperiodic sampling, " Automatica, vol. 57, pp. 78-84, Jul. 2015. http://www.sciencedirect.com/science/article/pii/S0005109815001569
    [8]
    H. Haghshenas, M. A. Badamchizadeh, and M. Baradarannia, "Containment control of heterogeneous linear multi-agent systems, " Automatica, vol. 54, pp. 210-216, Apr. 2015. http://www.sciencedirect.com/science/article/pii/S0005109815000552
    [9]
    S. Liu, L. H. Xie, and H. S. Zhang, "Mean square containment control of multi-agent systems with transmission noises, " Acta Automat. Sin., vol. 39, no. 11, pp. 1787-1795, Nov. 2013. http://www.sciencedirect.com/science/article/pii/S1874102913600774
    [10]
    B. Li, Z. Q. Chen, Z. X. Liu, C. Y. Zhang, and Q. Zhang, "Containment control of multi-agent systems with fixed time-delays in fixed directed networks, " Neurocomputing, vol. 173, pp. 2069-2075, Jan. 2016. http://dl.acm.org/citation.cfm?id=2868834
    [11]
    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. http://ieeexplore.ieee.org/document/5535214/
    [12]
    Y. C. Lou and Y. G. Hong, "Target containment control of multi-agent systems with random switching interconnection topologies, " Automatica, vol. 48, no. 5, pp. 879-885, May 2012. http://dl.acm.org/citation.cfm?id=2189695
    [13]
    Y. C. Cao, W. Ren, and M. Egerstedt, "Distributed containment control with multiple stationary or dynamic leaders in fixed and switching directed networks, " Automatica, vol. 48, no. 8, pp. 1586-1597, Aug. 2012. http://www.sciencedirect.com/science/article/pii/S0005109812002440
    [14]
    Y. Zhao, Z. S. Duan, G. H. Wen, and Y. J. Zhang, "Distributed finite-time tracking control for multi-agent systems: an observer-based approach, " Syst. Control Lett., vol. 62, no. 1, pp. 22-28, Jan. 2013. http://www.sciencedirect.com/science/article/pii/S0167691112002095
    [15]
    Y. S. Zheng and L. Wang, "Containment control of heterogeneous multiagent systems, " Int. J. Control, vol. 87, no. 1, pp. 1-8, Jan. 2014. doi: 10.1080/00207179.2013.814074?journalCode=tcon20
    [16]
    K. E. Liu, G. M. Xie, and L. Wang, "Containment control for secondorder 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
    [17]
    J. Z. Li, W. Ren, and S. Y. Xu, "Distributed containment control with multiple dynamic leaders for double-integrator dynamics using only position measurements, " IEEE Trans. Automat. Control, vol. 57, no. 6, pp. 1553-1559, Jun. 2012. http://ieeexplore.ieee.org/document/6069542/
    [18]
    B. J. Zheng and X. W. Mu, "Formation-containment control of secondorder multi-agent systems with only sampled position data, " Int. J. Syst. Sci., vol. 47, no. 15, pp. 3609-3618, Nov. 2016. doi: 10.1080/00207721.2015.1107148
    [19]
    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. doi: 10.1016/j.automatica.2012.05.010
    [20]
    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, " Nonlin. Anal.:Hybrid Syst., vol. 12, pp. 93-103, May 2014. http://www.ams.org/mathscinet-getitem?mr=3151375
    [21]
    J. J. Slotine and W. P. Li, Applied Nonlinear Control. Englewood Cliffs, New Jersey:Prentice Hall, 1991.
    [22]
    Z. K. Li, W. Ren, X. D. Liu, and M. Y. Fu, "Consensus of multi-agent systems with general linear and Lipschitz nonlinear dynamics using distributed adaptive protocols, " IEEE Trans. Automat. Control, vol. 58, no. 7, pp. 1786-1791, Jul. 2013. http://ieeexplore.ieee.org/document/6389712
    [23]
    M. C. Fan, Z. Y. Chen, and H. T. Zhang, "Semi-global consensus of nonlinear second-order multi-agent systems with measurement output feedback, " IEEE Trans. Automat. Control, vol. 59, no. 8, pp. 2222-2227, Aug. 2014. doi: 10.1080/00207721.2014.911391
    [24]
    P. Wang and Y. M. Jia, "Robust H∞ containment control for uncertain multi-agent systems with inherent nonlinear dynamics, " Int. J. Syst. Sci., vol. 47, no. 5, pp. 1073-1083, 2016. http://ieeexplore.ieee.org/document/6708434/
    [25]
    H. Haghshenas, M. A. Badamchizadeh, and M. Baradarannia, "Adaptive containment control of nonlinear multi-agent systems with non-identical agents, " Int. J. Control, vol. 88, no. 8, pp. 1586-1593, 2015. http://europepmc.org/abstract/MED/28689700
    [26]
    X. W. Mu, Z. Yang, K. Liu, and J. R. Mu, "Containment control of general multi-agent systems with directed random switching topology, " J. Franklin Instit., vol. 352, no. 10, pp. 4067-4080, Oct. 2015. http://www.sciencedirect.com/science/article/pii/S001600321500229X
    [27]
    H. Y. Liu, L. Cheng, M. Tan, Z. C. Hou, and Y. P. Wang, "Distributed exponential finite-time coordination of multi-agent systems:containment control and consensus, " Int. J. Control, vol. 88, pp. 237-247, 2015. doi: 10.1080/00207179.2014.944872?journalCode=tcon20
    [28]
    Q. Song, J. D. Cao, and W. W. Yu, "Second-order leader-following consensus of nonlinear multi-agent systems via pinning control, " Syst. Control Letters, vol. 59, no. 9, pp. 553-562, Sept. 2010. http://www.sciencedirect.com/science/article/pii/S0167691110000800
    [29]
    S. J. Yoo, "Distributed adaptive containment control of networked flexible-joint robots using neural networks, " Expert Syst. Appl., vol. 41, no. 2, pp. 470-477, Feb. 2014. http://dl.acm.org/citation.cfm?id=2537300
    [30]
    J. Mei, W. Ren, and G. F. Ma, "Distributed containment control for Lagrangian networks with parametric uncertainties under a directed graph, " Automatica, vol. 48, no. 4, pp. 653-659, Apr. 2012. http://www.sciencedirect.com/science/article/pii/S0005109812000362
    [31]
    P. Wang and Y. M. Jia, "Distributed containment control of second-order multi-agent systems with inherent non-linear dynamics, " IET Control Theor. Appl., vol. 8, no. 4, pp. 277-287, Mar. 2014. http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6747861
    [32]
    R. Marino and P. Tomei, Nonlinear Control Design:Geometric, Adaptive and Robust. Englewood Cliffs, NJ:Prentice Hall, 1995.
    [33]
    S. Sastry and M. Bodson, Adaptive Control:Stability, Convergence, and Robustness. New Jersey:Prentice-Hall, 1989.
    [34]
    H. Bai, M. Arcak, and J. T. Wen, "Adaptive design for reference velocity recovery in motion coordination, " Syst. Control Lett., vol. 57, no. 8, pp. 602-610, Aug. 2008. http://www.sciencedirect.com/science/article/pii/S0167691107001843
    [35]
    H. S. Su, G. R. Chen, X. F. Wang, and Z. L. Lin, "Adaptive secondorder consensus of networked mobile agents with nonlinear dynamics, " Automatica, vol. 47, no. 2, pp. 368-375, Feb. 2011. http://www.sciencedirect.com/science/article/pii/S0005109810004644
    [36]
    R. T. Rockafellar, Convex Analysis. New Jersey:Princeton University Press, 1972.
    [37]
    A. Berman and R. J. Plemmons, Nonnegative Matrices in the Mathematical Sciences. New York:Academic Press, Inc., 1979.
    [38]
    Y. C. Cao, W. Ren, and Z. Y. Meng, "Decentralized finite-time sliding mode estimators and their applications in decentralized finite-time formation tracking, " Syst. Control Lett., vol. 59, pp. 522-529, Sept. 2010. http://www.sciencedirect.com/science/article/pii/S0167691110000666
    [39]
    J. Davila, L. Fridman, and A. Levant, "Second-order sliding-mode observer for mechanical systems, " IEEE Trans. Automat. Control, vol. 50, no. 11, pp. 1785-1789, Nov. 2005. http://ieeexplore.ieee.org/document/1532406
    [40]
    A. Levant, "Higher-order sliding modes, differentiation and outputfeedback control, " Int. J. Control, vol. 76, pp. 924-941, Sept. 2003. doi: 10.1080/0020717031000099029
    • 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(8)

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (1274) PDF downloads(49) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return