A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation

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
D. Luo, Y. Wang, F. Lewis, and Y. Song, “Unified output feedback based prescribed performance consensus tracking control of heterogeneous multi-agent systems,” IEEE/CAA J. Autom. Sinica, 2025. doi: 10.1109/JAS.2024.125094
Citation: D. Luo, Y. Wang, F. Lewis, and Y. Song, “Unified output feedback based prescribed performance consensus tracking control of heterogeneous multi-agent systems,” IEEE/CAA J. Autom. Sinica, 2025. doi: 10.1109/JAS.2024.125094

Unified Output Feedback Based Prescribed Performance Consensus Tracking Control of Heterogeneous Multi-Agent Systems

doi: 10.1109/JAS.2024.125094
Funds:  This work was supported in part by the National Key Research and Development Program of China (2023YFA1011803), the National Natural Science Foundation of China (62273064, W2411061), the Chongqing Natural Science Foundation (CSTB2023NSCQ-MSX0588), the Innovation Support Program for International Students Returning to China (cx2022016), and the Central University Project (2023CDJKYJH047)
More Information
  • This paper proposes an output-feedback based prescribed performance consensus tracking control methodology for a class of heterogeneous multi-agent systems (HMASs) with inconsistent system structure, where the performance behavior is allowed to be different from that of each other. Both the heterogeneous system structures and the nonidentical performance requirements make the control problem much more challenging than that of MASs with identical structure and performance requirement. This is mainly due to the coupling effect of the system dynamics and performance restriction of each agent in the cooperative control action. The key to solve this problem is to introduce a dual-phase performance-guaranteed method, in which the consensus tracking error is decomposed into auxiliary tracking error and filter tracking error and then the whole performance control is decomposed into two phases. By confining the two errors respectively, the practical tracking error can be proved to be explicitly confined within an arbitrarily given performance envelope by merely adjusting the design parameters rather than modifying control structure. Moreover, the prescribed performance control (PPC) result is not only uniform with any initial conditions and design parameters, allowing it to be global, but also unifying both the global and semi-global result into one frame, distinguishing itself from most existing PPC works where either only global or only semi-global result is guaranteed. Finally, the effectiveness of the proposed control scheme is confirmed by the simulation conducted on a group of tunnel-diode circuits (TDC).

     

  • loading
  • [1]
    H. Chen, R. Ye, X. Wang, and R. Lu, “Cooperative control of power system load and frequency by using differential games,” IEEE Trans. Control Syst. Technol., vol. 23, no. 3, pp. 882–897, May 2015. doi: 10.1109/TCST.2014.2346996
    [2]
    D. J. Pack, P. DeLima, G. J. Toussaint, and G. York, “Cooperative control of uavs for localization of intermittently emitting mobile targets,” IEEE Trans. Syst., Man, Cybern. B. Cybern., vol. 39, no. 4, pp. 959–970, Aug. 2009. doi: 10.1109/TSMCB.2008.2010865
    [3]
    W. Cheng, K. Zhang, and B. Jiang, “Fixed-time fault-tolerant formation control for a cooperative heterogeneous multiagent system with prescribed performance,” IEEE Trans. Syst., Man, Cybern., Syst., vol. 53, no. 1, pp. 462–474, Jan. 2023. doi: 10.1109/TSMC.2022.3186382
    [4]
    W. Cheng, K. Zhang, and B. Jiang, “Fixed-time and prescribed-time fault-tolerant optimal tracking control for heterogeneous multiagent systems,” IEEE Trans. Autom. Sci. Eng., vol.21, no.4, pp. 7275−7286, Oct. 2024.
    [5]
    S. Xiao and J. Dong, “Distributed adaptive fuzzy fault-tolerant containment control for heterogeneous nonlinear multiagent systems,” IEEE Trans. Syst., Man, Cybern. Syst., vol. 52, no. 2, pp. 952–965, Feb. 2022.
    [6]
    D. Luo, Y. Wang, Z. Li, Y. Song, and F. L. Lewis, “Asymptotic leaderfollowing consensus of heterogeneous multi-agent systems with unknown and time-varying control gains,” IEEE Trans. Autom. Sci. Eng., vol. 22, pp. 2768−2779, 2025.
    [7]
    M. Lu, J. Wu, X. Zhan, T. Han, and H. Yan, “Consensus of second-order heterogeneous multi-agent systems with and without input saturation,” ISA Trans., vol. 126, pp. 14–20, Jul. 2022. doi: 10.1016/j.isatra.2021.08.001
    [8]
    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. 20, pp. 423–431, Feb. 2021.
    [9]
    T. Liu and Z. Jiang, “Distributed output-feedback control of nonlinear multi-agent systems,” IEEE Trans. Autom. Control, vol. 58, no. 11, pp. 2912–2917, Nov. 2013. doi: 10.1109/TAC.2013.2257616
    [10]
    J. Long, W. Wang, C. Wen, J. Huang, and L. Jinhu, “Output feedback based adaptive consensus tracking for uncertain heterogeneous multi-agent systems with event-triggered communication,” Automatica, to be published, doi: 10.1016/j.automatica.2021.110049.
    [11]
    W. Hu, L. Liu, and G. Feng, “Output consensus of heterogeneous linear multi-agent systems by distributed event-triggered/self-triggered strategy,” IEEE Trans. Cybern., vol. 47, no. 8, pp. 1914–1924, Aug. 2017. doi: 10.1109/TCYB.2016.2602327
    [12]
    H. Zhang, J. Han, Y. Wang, and H. Jiang, “H consensus for linear heterogeneous discrete-time multiagent systems with output feedback control,” IEEE Trans. Cybern., vol. 49, no. 10, pp. 3713–3721, Oct. 2019. doi: 10.1109/TCYB.2018.2849361
    [13]
    C. Hua, R. Cui, P. Ning, and X. Luo, “Event-based output feedback consensus control for multiagent systems with unknown non-identical control directions,” IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 70, no. 4, pp. 1747–1757, Apr. 2023. doi: 10.1109/TCSI.2023.3238465
    [14]
    A. Weiss, M. Baldwin, R. S. Erwin, and I. Kolmanovsky, “Model predictive control for spacecraft rendezvous and docking: Strategies for handling constraints and case studies,” IEEE Trans. Aerosp. Electron. Syst., vol. 23, no. 4, pp. 1638–1647, Jul. 2015.
    [15]
    J. Na, Y. Huang, X. Wu, G. Gao, G. Herrmann, and J. J. Zheng, “Active adaptive estimation and control for vehicle suspensions with prescribed performance,” IEEE Trans. Control Syst. Technol., vol. 26, no. 6, pp. 2063–2077, Nov. 2018. doi: 10.1109/TCST.2017.2746060
    [16]
    C. Hu, H. Gao, J. Guo, H. Taghavifar, Y. Qin, J. Na, and C. Wei, “Rise-based integrated motion control of autonomous ground vehicles with asymptotic prescribed performance,” IEEE Trans. Syst., Man, Cybern., Syst., vol. 51, no. 9, pp. 5336–5348, Sep. 2021. doi: 10.1109/TSMC.2019.2950468
    [17]
    C. P. Bechlioulis and G. A. Rovithakis, “Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance,” IEEE Trans. Autom. Control, vol. 53, no. 9, pp. 2090–2099, 2008. doi: 10.1109/TAC.2008.929402
    [18]
    A. Ilchmann, E. Ryan, and C. J. Sangwin, “Tracking with prescribed transient behaviour,” ESAIM: Control, Optimisation and Calculus of Variations, vol. 7, pp. 471–493, 2002. doi: 10.1051/cocv:2002064
    [19]
    G. Chen and Y. Zhao, “Distributed adaptive output-feedback tracking control of non-affine multi-agent systems with prescribed performance,” Journal of the Franklin Institute, vol. 355, no. 13, pp. 6087–6110, 2018. doi: 10.1016/j.jfranklin.2018.05.064
    [20]
    L. Zhang, W. Che, B. Chen, and C. Lin, “Adaptive fuzzy output-feedback consensus tracking control of nonlinear multiagent systems in prescribed performance,” IEEE Trans. Cybern., vol. 53, no. 3, pp. 1932–1943, Mar. 2023. doi: 10.1109/TCYB.2022.3171239
    [21]
    J. Zhang, Y. Fu, and J. Fu, “Funnel-based adaptive predefined-time leader-following output-feedback optimal control for second-order nonlinear multi-agent systems,” IEEE Trans. Autom. Sci. Eng., vol. 22, pp. 2794−2805, 2025.
    [22]
    X. Cai, C. Wang, G. Wang, Y. Li, L. Xua, and Z. Zhang, “Distributed low-complexity output feedback tracking control for nonlinear multi-agent systems with unmodeled dynamics and prescribed performance,” Int. J. Syst. Sci., vol. 50, no. 6, pp. 1229–1243, 2019.
    [23]
    G. Wang, C. Wang, and L. Li, “Fully distributed low-complexity control for nonlinear strict-feedback multiagent systems with unknown dead-zone inputs,” IEEE Trans. Syst., Man, Cybern., Syst., vol. 50, no. 2, pp. 421–431, 2020. doi: 10.1109/TSMC.2017.2759305
    [24]
    X. Huang and Y. Song, “Distributed and performance guaranteed robust control for uncertain MIMO nonlinear systems with controllability relaxation,” IEEE Trans. Autom. Control, vol. 68, no. 4, pp. 2460–2467, May 2022.
    [25]
    X. Min, S. Baldi, W. Yu, and J. Cao, “Low-complexity control with funnel performance for uncertain nonlinear multi-agent systems,” IEEE Trans. Autom. Control, vol. 69, no. 3, pp. 1975–1982, 2024. doi: 10.1109/TAC.2023.3302855
    [26]
    X. Min, S. Baldi, and W. Yu, “Low-complexity control of nonholonomic mobile robots with formation constraints,” in 2022 IEEE 61st Conf. on Decision and Control (CDC). IEEE, 2022, pp. 4501–4506.
    [27]
    Z. Li, Y. Wang, Y. Song, and W. Ao, “Global consensus tracking control for high-order nonlinear multiagent systems with prescribed performance,” IEEE Trans. Cybern., vol. 53, no. 10, pp. 6529–6537, Oct. 2023. doi: 10.1109/TCYB.2022.3211995
    [28]
    K. Zhao, F. L. Lewis, and L. Zhao, “Unifying performance specifications in tracking control of MIMO nonlinear systems with actuation faults,” Automatica, to be published, doi: 10.1016/j.automatica.2023.1111020.
    [29]
    K. Zhao, C. Wen, Y. Song, and F. L. Lewis, “Adaptive uniform performance control of strict-feedback nonlinear systems with time-varying control gain,” IEEE/CAA J. Autom. Sinica, vol. 10, no. 2, pp. 451–461, Feb. 2023. doi: 10.1109/JAS.2022.106064
    [30]
    M. W. Spong and M. Vidyasagar, Robot dynamics and control. John Wiley & Sons, 2008.
    [31]
    H. Kaufman, I. Barkana, and K. Sobel, Direct Adaptive Control Algorithms: Theory and Applications. New York, NY, USA: Springer-Verlag, 1998.
    [32]
    H. K. Khalil, Nonlinear Systems: Third Edition. New Jersey, NJ, USA: Prentice Hall, 2002.
    [33]
    M. Kristić, I. Kanellakopoulos, and P. Kokotovic, Nonlinear and Adaptive Control Design. New York, NY, USA: John Wiley & Sons, Inc., 1995.
    [34]
    X. Guo, C. Wang, Z. Dong, and Z. Ding, “Adaptive containment control for heterogeneous MIMO nonlinear multi-agent systems with unknown direction actuator faults,” IEEE Trans. Autom. Control, vol.68, no.9, pp. 5783−5790, Sep. 2023.
    [35]
    Y. Cao and Y. Song, “Performance guaranteed consensus tracking control of nonlinear multiagent systems: A finite-time function-based approach,” IEEE Trans. Neural Netw. Learn. Syst., vol. 32, no. 4, pp. 1536–1546, 2021. doi: 10.1109/TNNLS.2020.2984944
    [36]
    C. P. Bechlioulis and G. A. Rovithakis, “Decentralized robust synchronization of unknown high order nonlinear multi-agent systems with prescribed transient and steady state performance,” IEEE Trans. Autom. Control, vol. 62, no. 1, pp. 123–134, 2017. doi: 10.1109/TAC.2016.2535102
    [37]
    Z. Li, Y. Wang, Y. Song, X. Huang, and F. L. Lewis, “Performance-based distributed control of multiagent systems: A dual phase approach,” IEEE Trans. Cybern., vol. 54, no. 7, pp. 4124−4137, Jul. 2024.
    [38]
    J. Huang, Y. Song, W. Wang, C. Wen, and L. Guoqi, “Smooth control design for adaptive leader-following consensus control of a class of high-order nonlinear systems with time-varying reference,” Automatica, vol. 83, pp. 361–367, 2017. doi: 10.1016/j.automatica.2017.06.025
    [39]
    C. Wang, C. Wen, L. Guo, and L. Xing, “Adaptive consensus control for nonlinear multiagent systems with unknown control directions using event-triggered communication,” IEEE Trans. Cybern., vol. 52, no. 5, pp. 3057–3068, May 2022. doi: 10.1109/TCYB.2020.3022423
    [40]
    Y. Hong and C. Pan, “A lower bound for the smallest singular value,” Linear Algebra Appl., vol. 172, pp. 27–32, 1992. doi: 10.1016/0024-3795(92)90016-4
    [41]
    M. Krstic, I. Kanellakopoulos, and P. V. Kokotovic, “Adaptive nonlinear control without overparametrization,” Syst. Control Lett., vol. 19, no. 3, pp. 177–185, Sep. 1992. doi: 10.1016/0167-6911(92)90111-5
    [42]
    C. P. Bechlioulis and G. A. Rovithakis, “A low-complexity global approximation-free control scheme with prescribed performance for unknown pure feedback systems,” Automatica, vol. 50, no. 4, pp. 1217–1226, 2014. doi: 10.1016/j.automatica.2014.02.020

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(6)  / Tables(2)

    Article Metrics

    Article views (21) PDF downloads(17) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return