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Volume 8 Issue 10
Oct.  2021

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2021  >  8(10): 1677-1685
Y. H. Wang, Y. F. Liu, and Z. Wang, "Theory and Experiments on Enclosing Control of Multi-Agent Systems," IEEE/CAA J. Autom. Sinica, vol. 8, no. 10, pp. 1677-1685, Oct. 2021. doi: 10.1109/JAS.2021.1004138
Citation: Y. H. Wang, Y. F. Liu, and Z. Wang, "Theory and Experiments on Enclosing Control of Multi-Agent Systems," IEEE/CAA J. Autom. Sinica, vol. 8, no. 10, pp. 1677-1685, Oct. 2021. doi: 10.1109/JAS.2021.1004138
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Theory and Experiments on Enclosing Control of Multi-Agent Systems

doi: 10.1109/JAS.2021.1004138

  • High-Tech Institute of Xi’an, Xi’an 710025, China

Funds:  This work was supported in part by the National Natural Science Foundation of China (61703411, 61834004) and the Natural Science Foundation of Shaanxi Province (2017JM6016)
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    Abstract
  • This paper proposes a control strategy called enclosing control. This strategy can be described as follows: the followers design their control inputs based on the state information of neighbor agents and move to specified positions. The convex hull formed by these followers contains the leaders. We use the single-integrator model to describe the dynamics of the agents and proposes a continuous-time control protocol and a sampled-data based protocol for multi-agent systems with stationary leaders with fixed network topology. Then the state differential equations are analyzed to obtain the parameter requirements for the system to achieve convergence. Moreover, the conditions achieving enclosing control are established for both protocols. A special enclosing control with no leader located on the convex hull boundary under the protocols is studied, which can effectively prevent enclosing control failures caused by errors in the system. Moreover, several simulations are proposed to validate theoretical results and compare the differences between the three control protocols. Finally, experimental results on the multi-robot platform are provided to verify the feasibility of the protocol in the physical system.

     

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  • [1]
    X. Wang and X. Lu, “Three-dimensional impact angle constrained distributed guidance law design for cooperative attacks,” ISA Transactions, vol. 73, pp. 79–90, Feb. 2018. doi: 10.1016/j.isatra.2017.12.009
    [2]
    L. Ding, Q. Han, L. Wang, and E. Sindi, “Distributed cooperative optimal control of DC microgrids with communication delays,” IEEE Trans. Industrial Informatics, vol. 14, no. 9, pp. 3924–3935, Sept. 2018. doi: 10.1109/TII.2018.2799239
    [3]
    Y. Jia, W. Chen, T. Gu, H. Zhang, H. Yuan, S. Kwong, and J. Zhang, “Distributed cooperative co-evolution with adaptive computing resource allocation for large scale optimization,” IEEE Trans. Evolutionary Computation, vol. 23, no. 2, pp. 188–202, Apr. 2019. doi: 10.1109/TEVC.2018.2817889
    [4]
    W. Ren, R. W. Beard, and E. M. Atkins, “Information consensus in multivehicle cooperative control,” IEEE Control Systems Magazine, vol. 27, no. 2, pp. 71–82, Mar. 2007. doi: 10.1109/MCS.2007.338264
    [5]
    Y. Cao and W. Ren, “Containment control with multiple stationary or dynamic leaders under a directed interaction graph,” in Proc. Int. 48th IEEE Conf. Decision and Control Held Jointly With 28th Chinese Control Conf., Shanghai, China, 2009, pp. 3014–3019.
    [6]
    X. Wang, S. Li, and P. Shi, “Distributed finite-time containment control for double-integrator multiagent systems,” IEEE Trans. Cybernetics, vol. 44, no. 9, pp. 1518–1528, Sept. 2014. doi: 10.1109/TCYB.2013.2288980
    [7]
    X. He, Q. Wang, and W. Yu, “Finite-time containment control for second-order multiagent systems under directed topology,” IEEE Trans. Circuits and Systems Ⅱ:Express Briefs, vol. 61, no. 8, pp. 619–623, Aug. 2014. doi: 10.1109/TCSII.2014.2327473
    [8]
    X. Dong, Q. Li, Z. Ren, and Y. Zhong, “Formation-containment control for high-order linear time-invariant multi-agent systems with time delays,” Journal of the Franklin Institute, vol. 352, no. 9, pp. 3564–3584, Sept. 2015. doi: 10.1016/j.jfranklin.2015.05.008
    [9]
    Z. Wang, J. Wu, R. Xu, and B. Yang, “Guaranteed cost consensus for multiple linear agents with given budgets,” in Proc. Int. 37th Chinese Control Conf., Wuhan, China, 2018, pp. 6966–6970.
    [10]
    Y. Zheng and L. Wang, “Containment control of heterogeneous multiagent systems,” International Journal of Control, vol. 87, no. 1, pp. 1–8, Jul. 2013.
    [11]
    S. Zuo, Y. Song, F. L. Lewis, and A. Davoudi, “Output containment control of linear heterogeneous multi-agent systems using internal model principle,” IEEE Trans. Cybernetics, vol. 47, no. 8, pp. 2099–2109, Aug. 2017. doi: 10.1109/TCYB.2016.2641394
    [12]
    S. J. Yoo, “Distributed adaptive containment control of uncertain nonlinear multi-agent systems in strict-feedback form,” Automatica, vol. 49, no. 7, pp. 2145–2153, Jul. 2013. doi: 10.1016/j.automatica.2013.03.007
    [13]
    J. Mei, W. Ren, B. Li, and G. Ma, “Distributed containment control for multiple unknown second-order nonlinear systems with application to networked lagrangian systems,” IEEE Trans. Neural Networks and Learning Systems, vol. 26, no. 9, pp. 1885–1899, Sept. 2015. doi: 10.1109/TNNLS.2014.2359955
    [14]
    Z. Zhu, Y. Pan, Q. Zhou, and C. Lu, “Event-triggered adaptive fuzzy control for stochastic nonlinear systems with unmeasured states and unknown backlash-like hysteresis,” IEEE Trans. Fuzzy Systems, pp. 1–1, Feb. 2020.
    [15]
    Z. Wang, M. He, T. Zheng, Z. Fan, and G. Liu, “Guaranteed cost consensus for high-dimensional multi-agent systems with time-varying delays,” IEEE/CAA J. Autom. Sinica, vol. 5, no. 1, pp. 181–189, Jan. 2018. doi: 10.1109/JAS.2017.7510430
    [16]
    D. Ding, Z. Wang, B. Shen, and G. Wei, “Event-triggered consensus control for discrete-time stochastic multi-agent systems: The input-tostate stability in probability,” Automatica, vol. 62, pp. 284–291, Dec. 2015. doi: 10.1016/j.automatica.2015.09.037
    [17]
    D. Ding, Z. Wang, D. W. Ho, and G. Wei, “Observer-based eventtriggering consensus control for multiagent systems with lossy sensors and cyber-attacks,” IEEE Trans. Cybernetics, vol. 47, no. 8, pp. 1936–1947, Aug. 2017. doi: 10.1109/TCYB.2016.2582802
    [18]
    J. A. Fax and R. M. Murray, “Information flow and cooperative control of vehicle formations,” IEEE Trans. Automatic Control, vol. 49, no. 9, pp. 1465–1476, Sept. 2004. doi: 10.1109/TAC.2004.834433
    [19]
    E. Montijano, E. Cristofalo, D. Zhou, M. Schwager, and C. Saguees, “Vision-based distributed formation control without an external positioning system,” IEEE Trans. Robotics, vol. 32, no. 2, pp. 339–351, Apr. 2016. doi: 10.1109/TRO.2016.2523542
    [20]
    W. Jasim and D. Gu, “Robust team formation control for quadrotors,” IEEE Trans. Control Systems Technology, vol. 26, no. 4, pp. 1516–1523, Jul. 2018. doi: 10.1109/TCST.2017.2705072
    [21]
    H. Pei, S. Chen, and Q. Lai, “A local flocking algorithm of multi-agent dynamic systems,” International Journal of Control, vol. 88, no. 11, pp. 2242–2249, May 2015. doi: 10.1080/00207179.2015.1039595
    [22]
    M. Deghat, B. D. Anderson, and Z. Lin, “Combined flocking and distance-based shape control of multi-agent formations,” IEEE Trans. Automatic Control, vol. 61, no. 7, pp. 1824–1837, Jul. 2016. doi: 10.1109/TAC.2015.2480217
    [23]
    Z. Li, W. Ren, X. Liu, and M. Fu, “Distributed containment control of multi-agent systems with general linear dynamics in the presence of multiple leaders,” International Journal of Robust and Nonlinear Control, vol. 23, no. 5, pp. 534–547, Dec. 2011.
    [24]
    M. Ji, G. Ferrari-Trecate, M. Egerstedt, and A. Buffa, “Containment control in mobile networks,” IEEE Trans. Automatic Control, vol. 53, no. 8, pp. 1972–1975, Sept. 2008. doi: 10.1109/TAC.2008.930098
    [25]
    Y. Cao, D. Stuart, W. Ren, and Z. Meng, “Distributed containment control for multiple autonomous vehicles with double-integrator dynamics: Algorithms and experiments,” IEEE Trans. Control Systems Technology, vol. 19, no. 4, pp. 929–938, Jul. 2011. doi: 10.1109/TCST.2010.2053542
    [26]
    H. Liu, G. 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
    [27]
    Q. Zhou, W. Wang, H. Liang, M. Basin, and B. Wang, “Observer-based event-triggered fuzzy adaptive bipartite containment control of multiagent systems with input quantization,” IEEE Trans. Fuzzy Systems, vol. 29, no. 2, pp. 372–384, 2021. doi: 10.1109/TFUZZ.2019.2953573
    [28]
    W. Ren and N. Sorensen, “Distributed coordination architecture for multi-robot formation control,” Robotics and Autonomous Systems, vol. 56, no. 4, pp. 324–333, Apr. 2008. doi: 10.1016/j.robot.2007.08.005
    [29]
    A. Mahmood and Y. Kim, “Leader-following formation control of quadcopters with heading synchronization,” Aerospace Science and Technology, vol. 47, pp. 68–74, Dec. 2015. doi: 10.1016/j.ast.2015.09.009
    [30]
    Z. Han, K. Guo, L. Xie, and Z. Lin, “Integrated relative localization and leader–follower formation control,” IEEE Trans. Automatic Control, vol. 64, no. 1, pp. 20–34, Jan. 2019. doi: 10.1109/TAC.2018.2800790
    [31]
    W. Yi and B. Lei, “The geometry configuration control of uav formation flying based on consistency,” Journal of Wuhan University of Science and Technology, vol. 42, no. 2, pp. 150–154, Apr. 2019.
    [32]
    N. Biggs, N. L. Biggs, and B. Norman, Algebraic Graph Theory. Cambridge University Press, 1993, vol. 67.
    [33]
    R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge University Press, 2012.
    [34]
    K. Ogata, Discrete-Time Control Systems. Prentice Hall Englewood Cliffs, NJ, 1995, vol. 2.
    [35]
    R. T. Rockafellar, Convex Analysis. Princeton University Press, 1970, vol. 28.
    [36]
    Y. 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. doi: 10.1016/j.automatica.2012.05.071
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    Highlights

    • This paper proposes a control strategy called enclosing control.
    • A continuous-time protocol and a sampled-data based protocol are designed for enclosing control problems.
    • A special enclosing control with no leader located on the convex hull boundary under the protocols is studied.

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