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IEEE/CAA Journal of Automatica Sinica

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H. Tan, X. Zhang, Y. Wang, Y. Wu, Y. Feng, and Z. Hou, “Data-driven bipartite consensus control for large workpieces rotation of nonlinear multi-robot systems,” IEEE/CAA J. Autom. Sinica, vol. 12, no. 6, pp. 1–15, Jun. 2025.
Citation: H. Tan, X. Zhang, Y. Wang, Y. Wu, Y. Feng, and Z. Hou, “Data-driven bipartite consensus control for large workpieces rotation of nonlinear multi-robot systems,” IEEE/CAA J. Autom. Sinica, vol. 12, no. 6, pp. 1–15, Jun. 2025.

Data-Driven Bipartite Consensus Control for Large Workpieces Rotation of Nonlinear Multi-Robot Systems

Funds:  This work was supported in part by the National Natural Science Foundation of China (62473142, 62203161), Special Funding Support for the Construction of Innovative Provinces in Hunan Province (2021GK1010), Guangdong Basic and Applied Basic Research Foundation (2024A1515011579), and Project of State Key Laboratory of Advanced Design and Manufacturing Technology for Vehicle (72275007)
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  • In this paper, a novel data-driven bipartite consensus control scheme is proposed for the rotation problem of large workpieces with multi-robot systems (MRSs) under a directed communication topology. The rotation of a large workpiece is described as the MRSs with cooperation and antagonism interaction. By the signed graph theory, it is further transformed into a bipartite consensus control problem, where all followers are uniformly degenerated into the general nonlinear systems based on the lateral error model. To augment the flexibility of control protocol and improve control performance, a higher-dimensional full form dynamic linearization (FFDL) technique is committed to the MRSs. The control input criterion function consists of the data model based on FFDL and the bipartite consensus error based on the signed graph theory, and the proposed control protocol is given by optimizing this criterion function. In this way, this scheme has a higher degree of freedom and better adaptive adjustment capability while not excessively increasing the control method complexity, and it can also be compatible with other forms of dynamic linearization techniques in MRSs. Further, three matrix norm lemmas are introduced to deal with the challenges of stability analysis caused by higher matrix dimensions and more robots. Finally, the effectiveness of the proposed method is verified by numerical simulations.

     

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  • [1]
    J. Tsitsiklis, D. Bertsekas, and M. Athans, “Distributed asynchronous deterministic and stochastic gradient optimization algorithms,” IEEE Trans. Automat. Control, vol. 31, no. 9, pp. 803812, Sep. 1986.
    [2]
    P. M. Jones and J. L. Jacobs, “Cooperative problem solving in human-machine systems: Theory, models, and intelligent associate systems,” IEEE Trans. Syst., Man, Cybern., C (Appl. Rev.), vol. 30, no. 4, pp. 397407, Nov. 2000. doi: 10.1109/5326.897067
    [3]
    P. Ogren, M. Egerstedt, and X. Hu, “A control Lyapunov function approach to multiagent coordination,” IEEE Trans. Rob. Autom., vol. 18, no. 5, pp. 847851, Oct. 2002.
    [4]
    H. Chen, Y. Cong, X. Wang, X. Xu, and L. Shen, “Coordinated path-following control of fixed-wing unmanned aerial vehicles,” IEEE Trans. Syst., Man, Cybern.: Syst., vol. 52, no. 4, pp. 25402554, Apr. 2022.
    [5]
    D. Miculescu and S. Karaman, “Polling-systems-based autonomous vehicle coordination in traffic intersections with no traffic signals,” IEEE Trans. Automat. Control, vol. 65, no. 2, pp. 680694, Feb. 2020.
    [6]
    C. Yu, X. Wang, X. Xu, M. Zhang, H. Ge, J. Ren, L. Sun, B. Chen, and G. Tan, “Distributed multiagent coordinated learning for autonomous driving in highways based on dynamic coordination graphs,” IEEE Trans. Intell. Transp. Syst., vol. 21, no. 2, pp. 735748, Feb. 2020. doi: 10.1109/TITS.2019.2893683
    [7]
    Z. Peng, D. Wang, Z. Chen, X. Hu, and W. Lan, “Adaptive dynamic surface control for formations of autonomous surface vehicles with uncertain dynamics,” IEEE Trans. Control Syst. Technol., vol. 21, no. 2, pp. 513520, Mar. 2013. doi: 10.1109/TCST.2011.2181513
    [8]
    H. Wang, Y. Tian, and H. Xu, “Neural adaptive command filtered control for cooperative path following of multiple underactuated autonomous underwater vehicles along one path,” IEEE Trans. Syst., Man, Cybern.: Syst., vol. 52, no. 5, pp. 29662978, May 2022. doi: 10.1109/TSMC.2021.3062077
    [9]
    R. Carli and S. Zampieri, “Network clock synchronization based on the second-order linear consensus algorithm,” IEEE Trans. Automat. Control, vol. 59, no. 2, pp. 409422, Feb. 2014. doi: 10.1109/TAC.2013.2283742
    [10]
    H. Li, X. Liao, T. Huang, W. Zhu, and Y. Liu, “Second-order global consensus in multiagent networks with random directional link failure,” IEEE Trans. Neural Netw. Learn. Syst., vol. 26, no. 3, pp. 565575, Mar. 2015.
    [11]
    S. Li, G. Feng, X. Luo, and X. Guan, “Output consensus of heterogeneous linear discrete-time multiagent systems with structural uncertainties,” IEEE Trans. Cybern., vol. 45, no. 12, pp. 28682879, Dec. 2015. doi: 10.1109/TCYB.2015.2388538
    [12]
    G. Wen, Y. Zhao, Z. Duan, W. Yu, and G. Chen, “Containment of higher-order multi-leader multi-agent systems: A dynamic output approach,” IEEE Trans. Automat. Control, vol. 61, no. 4, pp. 11351140, Apr. 2016.
    [13]
    F. Wang, Z. Liu, and Z. Chen, “Distributed containment control for second-order multiagent systems with time delay and intermittent communication,” Int. J. Robust Nonlinear Control, vol. 28, no. 18, pp. 57305746, Dec. 2028.
    [14]
    W. Wang and S. Tong, “Observer-based adaptive fuzzy containment control for multiple uncertain nonlinear systems,” IEEE Trans. Fuzzy Syst., vol. 27, no. 11, pp. 20792089, Nov. 2019. doi: 10.1109/TFUZZ.2019.2893339
    [15]
    J. Sang, D. Ma, and Y. Zhou, “Group-consensus of hierarchical containment control for linear multi-agent systems,” IEEE/CAA J. Autom. Sinica, vol. 10, no. 6, pp. 14621474, Jun. 2023. doi: 10.1109/JAS.2023.123528
    [16]
    X. Bu, Q. Yu, Z. Hou, and W. Qian, “Model free adaptive iterative learning consensus tracking control for a class of nonlinear multiagent systems,” IEEE Trans. Syst., Man, Cybern.: Syst., vol. 49, no. 4, pp. 677686, Apr. 2019.
    [17]
    H. Zhang, H. Jiang, Y. Luo, and G. Xiao, “Data-driven optimal consensus control for discrete-time multi-agent systems with unknown dynamics using reinforcement learning method,” IEEE Trans. Ind. Electron., vol. 64, no. 5, pp. 40914100, May 2017. doi: 10.1109/TIE.2016.2542134
    [18]
    Q. Wei, X. Wang, X. Zhong, and N. Wu, “Consensus control of leader-following multi-agent systems in directed topology with heterogeneous disturbances,” IEEE/CAA J. Autom. Sinica, vol. 8, no. 2, pp. 423431, Feb. 2021. doi: 10.1109/JAS.2021.1003838
    [19]
    Y. Liu, H. Zhang, Z. Shi, and Z. Gao, “Neural-network-based finite-time bipartite containment control for fractional-order multi-agent systems,” IEEE Trans. Neural Netw. Learn. Syst., vol. 34, no. 10, pp. 74187429, Oct. 2023. doi: 10.1109/TNNLS.2022.3143494
    [20]
    L. Chen, L. Shi, Q. Zhou, H. Sheng, and Y. Cheng, “Secure bipartite tracking control for linear leader-following multiagent systems under denial-of-service attacks,” IEEE/CAA J. Autom. Sinica, vol. 9, no. 8, pp. 15121515, Aug. 2022. doi: 10.1109/JAS.2022.105758
    [21]
    Q. Wang, W. He, L. Zino, D. Tan, and W. Zhong, “Bipartite consensus for a class of nonlinear multi-agent systems under switching topologies: A disturbance observer-based approach,” Neurocomputing, vol. 488, pp. 130143, Jun. 2022. doi: 10.1016/j.neucom.2022.02.081
    [22]
    L. Rong, X. Liu, G.-P. Jiang, and S. Xu, “Observer-based multiagent bipartite consensus with deterministic disturbances and antagonistic interactions,” IEEE Trans. Cybern., vol. 52, no. 11, pp. 1177211779, Nov. 2022. doi: 10.1109/TCYB.2021.3087645
    [23]
    C. Xu, H. Xu, Z.-H. Guan, and Y. Ge, “Observer-based dynamic eventtriggered semiglobal bipartite consensus of linear multi-agent systems with input saturation,” IEEE Trans. Cybern., vol. 53, no. 5, pp. 31393152, May 2023. doi: 10.1109/TCYB.2022.3164048
    [24]
    Y. Hui, R. Chi, B. Huang, and Z. Hou, “Data-driven adaptive iterative learning bipartite consensus for heterogeneous nonlinear cooperation-antagonism networks,” IEEE Trans. Neural Netw. Learn. Syst., vol. 34, no. 11, pp. 82628270, Nov. 2023. doi: 10.1109/TNNLS.2022.3148726
    [25]
    S. Sang, R. Zhang, and X. Lin, “Model-free adaptive iterative learning bipartite containment control for multi-agent systems,” Sensors, vol. 22, no. 19, p. 7115, Sep. 2022. doi: 10.3390/s22197115
    [26]
    T. Liu and Z. Hou, “Model-free adaptive containment control for unknown multi-input multi-output nonlinear MASs with output saturation,” IEEE Trans. Circuits Syst. I: Regul. Pap., vol. 70, no. 5, pp. 21562166, May 2023. doi: 10.1109/TCSI.2023.3242677
    [27]
    D. Liu, Z.-P. Zhou, and T.-S. Li, “Data-driven bipartite consensus tracking for nonlinear multiagent systems with prescribed performance,” IEEE Trans. Syst., Man, Cybern.: Syst., vol. 53, no. 6, pp. 36663674, Jun. 2023. doi: 10.1109/TSMC.2022.3230504
    [28]
    J. Liang, X. Bu, L. Cui, and Z. Hou, “Event-triggered asymmetric bipartite consensus tracking for nonlinear multi-agent systems based on model-free adaptive control,” IEEE/CAA J. Autom. Sinica, vol. 10, no. 3, pp. 662672, Mar. 2023. doi: 10.1109/JAS.2022.106070
    [29]
    Z. Hou and S. Xiong, “On model-free adaptive control and its stability analysis,” IEEE Trans. Automat. Control, vol. 64, no. 11, pp. 45554569, Nov. 2019. doi: 10.1109/TAC.2019.2894586
    [30]
    C. Altafini, “Consensus problems on networks with antagonistic interactions,” IEEE Trans. Automat. Control, vol. 58, no. 4, pp. 935946, Apr. 2013. doi: 10.1109/TAC.2012.2224251
    [31]
    E. Garcia, D. W. Casbeer, and M. Pachter, “Active target defense using first order missile models,” Automatica, vol. 78, pp. 139143, Apr. 2017. doi: 10.1016/j.automatica.2016.12.032
    [32]
    S. Macenski, S. Singh, F. Martín, and J. Ginés, “Regulated pure pursuit for robot path tracking,” Auton. Robots, vol. 47, no. 6, pp. 685694, Jun. 2023. doi: 10.1007/s10514-023-10097-6
    [33]
    F. Li and Z. Hou, “Distributed model-free adaptive control for mimo nonlinear multiagent systems under deception attacks,” IEEE Trans. Syst., Man, Cybern.: Syst., vol. 53, no. 4, pp. 22812291, Apr. 2023. doi: 10.1109/TSMC.2022.3211871
    [34]
    R. Chi, H. Zhang, B. Huang, and Z. Hou, “Quantitative data-driven adaptive iterative learning control: From trajectory tracking to point-to-point tracking,” IEEE Trans. Cybern., vol. 52, no. 6, pp. 48594873, Jun. 2022. doi: 10.1109/TCYB.2020.3015233
    [35]
    Z. Hou and S. Jin, Model Free Adaptive Control: Theory and Applications. Boca Raton, USA: CRC Press, 2013.
    [36]
    W. Xu, D. W. C. Ho, L. Li, and J. Cao, “Event-triggered schemes on leader-following consensus of general linear multiagent systems under different topologies,” IEEE Trans. Cybern., vol. 47, no. 1, pp. 212223, Jan. 2017. doi: 10.1109/TCYB.2015.2510746
    [37]
    K. A. R. Audenaert, “On a norm compression inequality for 2 × N partitioned block matrices,” Linear Algebra Appl., vol. 428, no. 4, pp. 781795, Feb. 2008. doi: 10.1016/j.laa.2007.08.007
    [38]
    K. W. Cattermole, “Theory and application of the Z-transform method,” Electron. Power, vol. 11, no. 1, p. 36, Jan. 1965.
    [39]
    L. Huang, Linear Algebra in System and Control Theory. Beijing, China: Science Publish House, 1984. (查阅网上资料,未找到本条文献英文信息,请确认)
    [40]
    H. Tan, Y. Wang, H. Zhong, M. Wu, and Y. Jiang, “Coordination of low-power nonlinear multi-agent systems using cloud computing and a data-driven hybrid predictive control method,” Control Eng. Pract., vol. 108, p. 104722, Mar. 2021. doi: 10.1016/j.conengprac.2020.104722
    [41]
    H. Tan, Y. Wang, M. Wu, Z. Huang, and Z. Miao, “Distributed group coordination of multiagent systems in cloud computing systems using a model-free adaptive predictive control strategy,” IEEE Trans. Neural Netw. Learn. Syst., vol. 33, no. 8, pp. 34613473, Aug. 2022. doi: 10.1109/TNNLS.2021.3053016

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