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Volume 9 Issue 5
May  2022

IEEE/CAA Journal of Automatica Sinica

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A. Bono, L. D’Alfonso, G. Fedele, and V. Gazi, “Target capturing in an ellipsoidal region for a swarm of double integrator agents,” IEEE/CAA J. Autom. Sinica, vol. 9, no. 5, pp. 801–811, May 2022. doi: 10.1109/JAS.2022.105551
Citation: A. Bono, L. D’Alfonso, G. Fedele, and V. Gazi, “Target capturing in an ellipsoidal region for a swarm of double integrator agents,” IEEE/CAA J. Autom. Sinica, vol. 9, no. 5, pp. 801–811, May 2022. doi: 10.1109/JAS.2022.105551

Target Capturing in an Ellipsoidal Region for a Swarm of Double Integrator Agents

doi: 10.1109/JAS.2022.105551
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  • In this paper we focus on the target capturing problem for a swarm of agents modelled as double integrators in any finite space dimension. Each agent knows the relative position of the target and has only an estimation of its velocity and acceleration. Given that the estimation errors are bounded by some known values, it is possible to design a control law that ensures that agents enter a user-defined ellipsoidal ring around the moving target. Agents know the relative position of the other members whose distance is smaller than a common detection radius. Finally, in the case of no uncertainty about target data and homogeneous agents, we show how the swarm can reach a static configuration around the moving target. Some simulations are reported to show the effectiveness of the proposed strategy.

     

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  • [1]
    W. Ren and Y. Cao, Distributed Coordination of Multi-Agent Networks: Emergent Problems, Models, and Issues. Springer Science & Business Media, 2010.
    [2]
    V. Gazi and K. M. Passino, Swarm Stability and Optimization. Springer Science & Business Media, 2011.
    [3]
    C. Robin and S. Lacroix, “Multi-robot target detection and tracking: Taxonomy and survey,” Autonomous Robots, vol. 40, no. 4, pp. 729–760, 2016. doi: 10.1007/s10514-015-9491-7
    [4]
    T.-H. Kim and T. Sugie, “Cooperative control for target-capturing task based on a cyclic pursuit strategy,” Automatica, vol. 43, no. 8, pp. 1426–1431, 2007. doi: 10.1016/j.automatica.2007.01.018
    [5]
    J. Li and X. Chen, “Multi-AUV circular formation sliding mode control based on cyclic pursuit,” in Proc. IEEE Int. Conf. Mechatronics and Automation, 2020, pp. 1365–1370.
    [6]
    G. Fedele, L. D’Alfonso, F. Chiaravalloti, and G. D’Aquila, “Obstacles avoidance based on switching potential functions,” Journal of Intelligent &Robotic Systems, vol. 90, no. 3–4, pp. 387–405, 2018.
    [7]
    L. Blázovics, T. Lukovszki, and B. Forstner, “Target surrounding solution for swarm robots,” in Information and Communication Technologies, R. Szabó and A. Vidács, Eds. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012, pp. 251–262.
    [8]
    Y. Kobayashi, K. Otsubo, and S. Hosoe, “Design of decentralized capturing behavior by multiple mobile robots,” in Proc. IEEE Workshop Distributed Intelligent Systems: Collective Intelligence and Its Applications, 2006, pp. 13–18.
    [9]
    J. Yao, R. Ordonez, and V. Gazi, “Swarm tracking using artificial potentials and sliding mode control,” Journal of Dynamic Systems,Measurement and Control, vol. 129, no. 5, pp. 749–754, Sept. 2007. doi: 10.1115/1.2764511
    [10]
    H. Kawakami and T. Namerikawa, “Cooperative target-capturing strategy for multi-vehicle systems with dynamic network topology,” in Proc. American Control Conf., 2009, pp. 635–640.
    [11]
    M. Kothari, R. Sharma, I. Postlethwaite, R. W. Beard, and D. Pack, “Cooperative target-capturing with incomplete target information,” Journal of Intelligent &Robotic Systems, vol. 72, no. 3–4, pp. 373–384, 2013.
    [12]
    B. Siciliano, L. Sciavicco, L. Villani, and G. Oriolo, Robotics: Modelling, Planning and Control. Springer Publishing Company, Incorporated, 2010.
    [13]
    M. Lv, W. Yu, J. Cao, and S. Baldi, “Consensus in high-power multiagent systems with mixed unknown control directions via hybrid nussbaum-based control,” IEEE Trans. Cybernetics, pp. 1–13, 2020. DOI: 10.1109/TCYB.2020.3028171
    [14]
    M. Lv, W. Yu, J. Cao, and S. Baldi, “A separation-based methodology to consensus tracking of switched high-order nonlinear multiagent systems,” IEEE Trans. Neural Networks and Learning Systems, pp. 1–13, 2021. DOI: 10.1109/TNNLS.2021.3070824
    [15]
    O. Y. Nieto and L. Colombo, “A geometric path planning strategy based on variational calculus for the shape control of multi-agent Lagrangian systems,” in Proc. 29th Mediterranean Conf. Control and Automation, 2021, pp. 1092–1099.
    [16]
    W. Wang, H. Liang, Y. Pan, and T. Li, “Prescribed performance adaptive fuzzy containment control for nonlinear multi-agent systems using disturbance observer,” IEEE Trans. Cybernetics, vol. 50, no. 9, pp. 3879–3891, 2020. doi: 10.1109/TCYB.2020.2969499
    [17]
    A. Bono, G. Fedele, and G. Franzè, “A swarm-based distributed model predictive control scheme for autonomous vehicle formations in uncertain environments,” IEEE Trans. Cybernetics, 2021.
    [18]
    Q. Shi, X. Cui, S. Zhao, and M. Lu, “Sequential TOA-based moving target localization in multi-agent networks,” IEEE Communications Letters, vol. 24, no. 8, pp. 1719–1723, 2020. doi: 10.1109/LCOMM.2020.2993894
    [19]
    M. Deghat, I. Shames, B. D. Anderson, and C. Yu, “Localization and circumnavigation of a slowly moving target using bearing measurements,” IEEE Trans. Automatic Control, vol. 59, no. 8, pp. 2182–2188, 2014. doi: 10.1109/TAC.2014.2299011
    [20]
    S. Chun and Y.-P. Tian, “Multi-targets localization and elliptical circumnavigation by multi-agents using bearing-only measurements in two-dimensional space,” Int. Journal of Robust and Nonlinear Control, vol. 30, no. 8, pp. 3250–3268, 2020. doi: 10.1002/rnc.4932
    [21]
    S. Chun, “Bearing-only-based formation circumnavigation guided by multiple unknown targets,” IEEE Access, vol. 8, pp. 228377–228391, 2020. doi: 10.1109/ACCESS.2020.3046506
    [22]
    Y. Yu, Z. Li, X. Wang, and L. Shen, “Bearing-only circumnavigation control of the multi-agent system around a moving target,” IET Control Theory &Applications, vol. 13, no. 17, pp. 2747–2757, 2019.
    [23]
    G. Fedele and L. D’Alfonso, “A kinematic model for swarm finite-time trajectory tracking,” IEEE Trans. Cybernetics, vol. 49, no. 10, pp. 3806–3815, 2018.
    [24]
    G. Fedele, L. D’Alfonso, and A. Bono, “Vortex formation in a swarm of agents with a coordinates mixing matrix-based model,” IEEE Control Systems Letters, vol. 4, pp. 420–425, 2020. doi: 10.1109/LCSYS.2019.2944128
    [25]
    G. Fedele and L. D’Alfonso, “A coordinates mixing matrix-based model for swarm formation,” Int. Journal of Control, DOI: 10.1080/00207179.2019.1613561.
    [26]
    G. Fedele, L. D’Alfonso, and A. Bono, “A discrete-time model for swarm formation with coordinates coupling matrix,” IEEE Control Systems Letters, DOI: 10.1109/LCSYS.2020.2998669.
    [27]
    A. Filippov, Differential Equations With Discontinuous Righthand Sides, A. F.M., Ed. Springer, Dordrecht, 1988.
    [28]
    R. M. Corless, G. H. Gonnet, D. E. Hare, D. J. Jeffrey, and D. E. Knuth, “On the LambertW function,” Advances in Computational Mathematics, vol. 5, no. 1, pp. 329–359, 1996. doi: 10.1007/BF02124750
    [29]
    H. K. Khalil, High-Gain Observers In Nonlinear Feedback Control. SIAM, 2017.
    [30]
    M. M. Zavlanos, A. Jadbabaie, and G. J. Pappas, “Flocking while preserving network connectivity,” in Proc. 46th IEEE Conf. Decision and Control, 2007, pp. 2919–2924.
    [31]
    H. K. Khalil, Nonlinear Systems, 3rd. Prentice Hall, 2002.
    [32]
    L. Sabattini, C. Secchi, and C. Fantuzzi, “Arbitrarily shaped formations of mobile robots: Artificial potential fields and coordinate transformation,” Autonomous Robots, vol. 30, no. 4, pp. 385–397, 2011.
    [33]
    Perform co-simulation between simulink and gazebo. [Online]. Available: https://www.mathworks.com/help/robotics/ug/perform-co-simulation-between-simulink-and-gazebo.html
    [34]

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    Highlights

    • Cooperative enclosing in an ellipsoidal ring of a moving target with uncertain information
    • Formation in a containment region with forbidden region constraints
    • Double integrator-based swarm model in any finite space dimension

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