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Volume 8 Issue 4
Apr.  2021

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2021  >  8(4): 806-816
Shuyi Xiao, Jiuxiang Dong, "Distributed Fault-Tolerant Containment Control for Nonlinear Multi-Agent Systems Under Directed Network Topology via Hierarchical Approach," IEEE/CAA J. Autom. Sinica, vol. 8, no. 4, pp. 806-816, Apr. 2021. doi: 10.1109/JAS.2021.1003928
Citation: Shuyi Xiao, Jiuxiang Dong, "Distributed Fault-Tolerant Containment Control for Nonlinear Multi-Agent Systems Under Directed Network Topology via Hierarchical Approach," IEEE/CAA J. Autom. Sinica, vol. 8, no. 4, pp. 806-816, Apr. 2021. doi: 10.1109/JAS.2021.1003928
shu

Distributed Fault-Tolerant Containment Control for Nonlinear Multi-Agent Systems Under Directed Network Topology via Hierarchical Approach

doi: 10.1109/JAS.2021.1003928
  • 1.

    College of Information Science and Engineering, Northeastern University, Shenyang 110819, China

  • 2.

    State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China

  • 3.

    Key Laboratory of Vibration and Control of AeroPropulsion Systems Ministry of Education, Northeastern University, Shenyang 110819, China

Funds:  This work was supported in part by the National Natural Science Foundation of China (61873056, 61621004, 61420106016), the Fundamental Research Funds for the Central Universities in China (N2004001, N2004002, N182608004) and the Research Fund of State Key Laboratory of Synthetical Automation for Process Industries in China (2013ZCX01)
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    Abstract
  • This paper investigates the distributed fault-tolerant containment control (FTCC) problem of nonlinear multi-agent systems (MASs) under a directed network topology. The proposed control framework which is independent on the global information about the communication topology consists of two layers. Different from most existing distributed fault-tolerant control (FTC) protocols where the fault in one agent may propagate over network, the developed control method can eliminate the phenomenon of fault propagation. Based on the hierarchical control strategy, the FTCC problem with a directed graph can be simplified to the distributed containment control of the upper layer and the fault-tolerant tracking control of the lower layer. Finally, simulation results are given to demonstrate the effectiveness of the proposed control protocol.

     

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  • [1]
    Y. Hong, J. Hu, and L. Gao, “Tracking control for multiagent consensus with an active leader and variable topology,” Automatica, vol. 42, no. 7, pp. 1177–1182, Jul. 2006. doi: 10.1016/j.automatica.2006.02.013
    [2]
    Q. Ma, J. Qin, W. X. Zheng, Y. Shi, and Y. Kang, “Exponential consensus of linear systems over switching network: A subspace method to establish necessity and sufficiency,” IEEE Trans. Cybern., to be published, DOI: 10.1109/TCY-B.2020.2991540.
    [3]
    Z. Li, G. Wen, Z. Duan, and W. Ren, “Designing fully distributed consensus protocols for linear multi-agent systems with directed graphs,” IEEE Trans. Autom. Control, vol. 60, no. 4, pp. 1152–1157, Apr. 2015. doi: 10.1109/TAC.2014.2350391
    [4]
    Y. Lv, Z. Li, Z. Duan, and J. Chen, “Distributed adaptive output feedback consensus protocols for linear systems on directed graphs with a leader of bounded input,” Automatica, vol. 74, pp. 308–314, Dec. 2016. doi: 10.1016/j.automatica.2016.07.041
    [5]
    Y. Lv, Z. Li, Z. Duan, and G. Feng, “Novel distributed robust adaptive consensus protocols for linear multi-agent systems with directed graphs and external disturbances,” Int. J. Control, vol. 90, no. 2, pp. 137–147, 2017. doi: 10.1080/00207179.2016.1172259
    [6]
    S. Zuo, F. L. Lewis, and A. Davoudi, “Resilient output containment of heterogeneous cooperative and adversarial multigroup systems,” IEEE Trans. Autom. Control, vol. 65, no. 7, pp. 3104–3111, Jul. 2020.
    [7]
    C. Chen, F. L. Lewis, S. Xie, H. Modares, Z. Liu, S. Zuo, and A. Davoudi, “Resilient adaptive and H∞ controls of multi-agent systems under sensor and actuator faults,” Automatica, vol. 102, no. 102, pp. 19–26, Apr. 2019.
    [8]
    C. Deng and G. H. Yang, “Distributed adaptive fault-tolerant control approach to cooperative output regulation for linear multiagent systems,” Automatica, vol. 103, pp. 62–68, May 2019. doi: 10.1016/j.automatica.2019.01.013
    [9]
    J. Mei, W. Ren, and G. Ma, “Distributed containment control for lagrangian networks with parametric uncertainties under a directed graph,” Automatica, vol. 48, no. 4, pp. 653–659, Apr. 2012. doi: 10.1016/j.automatica.2012.01.020
    [10]
    X. Wang, S. Li, and P. Shi, “Distributed finite-time containment control for double-integrator multiagent systems,” IEEE Trans. Cybern., vol. 44, no. 9, pp. 1518–1528, Sep. 2014. doi: 10.1109/TCYB.2013.2288980
    [11]
    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,” Int. J. Robust Nonlinear Control, vol. 23, no. 5, pp. 534–547, 2013. doi: 10.1002/rnc.1847
    [12]
    Z. Li, Z. Duan, W. Ren, and G. Feng, “Containment control of linear multi-agent systems with multiple leaders of bounded inputs using distributed continuous controllers,” Int. J. Robust Nonlinear Control, vol. 25, no. 13, pp. 2101–2121, 2015. doi: 10.1002/rnc.3195
    [13]
    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. Autom. Control, vol. 61, no. 4, pp. 1135–1140, Apr. 2016. doi: 10.1109/TAC.2015.2465071
    [14]
    Z. Peng, D. Wang, Y. Shi, H. Wang, and W. Wang, “Containment control of networked autonomous underwater vehicles with model uncertainty and ocean disturbances guided by multiple leaders,” Inform. Sci., vol. 316, pp. 163–179, Sep. 2015. doi: 10.1016/j.ins.2015.04.025
    [15]
    D. Wang, N. Zhang, J. Wang, and W. Wang, “Cooperative containment control of multiagent systems based on follower observers with time delay,” IEEE Trans. Syst. Man Cybern. Syst., vol. 47, no. 1, pp. 13–23, Jan. 2017.
    [16]
    J. Chen, Z. H. Guan, C. Yang, T. Li, D. X. He, and X. H. Zhang, “Distributed containment control of fractional-order uncertain multi-agent systems,” J. Franklin Inst., vol. 353, no. 7, pp. 1672–1688, May 2016. doi: 10.1016/j.jfranklin.2016.02.002
    [17]
    Y. Li, C. Hua, S. Wu, and X. Guan, “Output feedback distributed containment control for high-order nonlinear multiagent systems,” IEEE Trans. Cybern., vol. 47, no. 8, pp. 2032–2043, Aug. 2017. doi: 10.1109/TCYB.2017.2655054
    [18]
    W. Wang and S. Tong, “Adaptive fuzzy containment control of nonlinear strict-feedback systems with full state constraints,” IEEE Trans. Fuzzy Syst., vol. 27, no. 10, pp. 2024–2038, Oct. 2019. doi: 10.1109/TFUZZ.2019.2893301
    [19]
    Y. Wang, Y. Song, D. J. Hill, and M. Krstic, “Prescribedtime consensus and containment control of networked multiagent systems,” IEEE Trans. Cybern., vol. 49, no. 4, pp. 1138–1147, Apr. 2019. doi: 10.1109/TCYB.2017.2788874
    [20]
    X. Dong, F. Meng, Z. Shi, G. Lu, and Y. Zhong, “Output containment control for swarm systems with general linear dynamics: A dynamic output feedback approach,” Syst. Control Lett., vol. 71, pp. 31–37, Sep. 2014. doi: 10.1016/j.sysconle.2014.06.007
    [21]
    X. Dong, Z. Shi, G. Lu, and Y. Zhong, “Formation-containment analysis and design for high-order linear time-invariant swarm systems,” Int. J. Robust Nonlinear Control, vol. 25, no. 17, pp. 3439–3456, 2015. doi: 10.1002/rnc.3274
    [22]
    X. Dong, Y. Hua, Y. Zhou, Z. Ren, and Y. Zhong, “Theory and experiment on formation-containment control of multiple multirotor unmanned aerial vehicle systems,” IEEE Trans. Autom. Sci. Eng., vol. 16, no. 1, pp. 229–240, Jan. 2019. doi: 10.1109/TASE.2018.2792327
    [23]
    J. Dong, Y. Wu, and G. H. Yang, “A new sensor fault isolation method for T-S fuzzy systems,” IEEE Trans. Cybern., vol. 47, no. 9, pp. 2437–2447, Jun. 2017. doi: 10.1109/TCYB.2017.2707422
    [24]
    H. Wang, W. Bai, and P. X. Liu, “Finite-time adaptive faulttolerant control for nonlinear systems with multiple faults,” IEEE/CAA J. Autom. Sinica, vol. 6, no. 6, pp. 1417–1427, Nov. 2019. doi: 10.1109/JAS.2019.1911765
    [25]
    X. Xie, D. Yue, H. Zhang, and Y. Xue, “Fault estimation observer design for discrete-time takagi-sugeno fuzzy systems based on homogenous polynomially parameter-dependent lyapunov functions,” IEEE Trans. Cybern., vol. 47, no. 9, pp. 2504–2513, Sep. 2017. doi: 10.1109/TCYB.2017.2693323
    [26]
    J. Dong and G. H. Yang, “Reliable state feedback control of T-S fuzzy systems with sensor faults,” IEEE Trans. Fuzzy Syst., vol. 23, no. 2, pp. 421–433, Apr. 2015. doi: 10.1109/TFUZZ.2014.2315298
    [27]
    X. J. Li and G. H. Yang, “Robust adaptive fault-tolerant control for uncertain linear systems with actuator failures,” IET Control Theory Appl., vol. 6, no. 10, pp. 1544–1551, Jul. 2012. doi: 10.1049/iet-cta.2011.0599
    [28]
    S. Xiao and J. Dong, “Robust adaptive fault-tolerant tracking control for uncertain linear systems with time-varying performance bounds,” Int. J. Robust Nonlinear Control, vol. 29, no. 4, pp. 849–866, 2019. doi: 10.1002/rnc.4404
    [29]
    L. B. Wu and J. H. Park, “Adaptive fault-tolerant control of uncertain switched nonaffine nonlinear systems with actuator faults and time delays,” IEEE Trans. Syst. Man Cybern. Syst., vol. 50, no. 9, pp. 3470–3480, Sep. 2020.
    [30]
    M. Liu, D. W. Ho, and P. Shi, “Adaptive fault-tolerant compensation control for markovian jump systems with mismatched external disturbance,” Automatica, vol. 58, pp. 5–14, Aug. 2015. doi: 10.1016/j.automatica.2015.04.022
    [31]
    C. Deng and G. H. Yang, “Distributed adaptive fault-tolerant containment control for a class of multi-agent systems with nonidentical matching non-linear functions,” IET Control Theory Appl., vol. 10, no. 3, pp. 273–281, Jul. 2016. doi: 10.1049/iet-cta.2015.0638
    [32]
    D. Ye, M. Chen, and K. Li, “Observer-based distributed adaptive fault-tolerant containment control of multi-agent systems with general linear dynamics,” ISA Trans., vol. 71, pp. 32–39, Nov. 2017. doi: 10.1016/j.isatra.2017.06.007
    [33]
    J. Zhang, D. W. Ding, and C. An, “Fault-tolerant containment control for linear multi-agent systems: An adaptive output regulation approach,” IEEE Access, vol. 7, pp. 89306–89315, Jul. 2019. doi: 10.1109/ACCESS.2019.2926619
    [34]
    W. Wang, D. Wang, and Z. Peng, “Fault-tolerant containment control of uncertain nonlinear systems in strict-feedback form,” Int. J. Robust Nonlinear Control, vol. 27, no. 3, pp. 497–511, 2017. doi: 10.1002/rnc.3584
    [35]
    S. J. Yoo, “A low-complexity design for distributed containment control of networked pure-feedback systems and its application to fault-tolerant control,” Int. J. Robust Nonlinear Control, vol. 27, no. 3, pp. 363–379, 2017. doi: 10.1002/rnc.3573
    [36]
    Z. Qu, Cooperative Control of Dynamical Systems: Applications to Autonomous Vehicles, London, UK: Springer-Verlag, 2009.
    [37]
    J. Yu, P. Shi, W. Dong, and C. Lin, “Adaptive fuzzy control of nonlinear systems with unknown dead zones based on command filtering,” IEEE Trans. Fuzzy Syst., vol. 26, no. 1, pp. 46–55, Feb. 2018. doi: 10.1109/TFUZZ.2016.2634162
    [38]
    Y. Li, K. Sun, and S. Tong, “Adaptive fuzzy robust fault-tolerant optimal control for nonlinear large-scale systems,” IEEE Trans. Fuzzy Syst., vol. 26, no. 5, pp. 2899–2914, Oct. 2018. doi: 10.1109/TFUZZ.2017.2787128
    [39]
    Y. J. Liu, M. Gong, S. Tong, C. P. Chen, and D. J. Li, “Adaptive fuzzy output feedback control for a class of nonlinear systems with full state constraints,” IEEE Trans. Fuzzy Syst., vol. 26, no. 5, pp. 2607–2617, Oct. 2018. doi: 10.1109/TFUZZ.2018.2798577
    [40]
    B. Chen, X. Liu, and C. Lin, “Observer and adaptive fuzzy control design for nonlinear strict-feedback systems with unknown virtual control coefficients,” IEEE Trans. Fuzzy Syst., vol. 26, no. 3, pp. 1732–1743, Jun. 2018. doi: 10.1109/TFUZZ.2017.2750619
    [41]
    L. X. Wang and J. M. Mendel, “Fuzzy basis functions, universal approximation, and orthogonal least-squares learning,” IEEE Trans. Neural Netw., vol. 3, no. 5, pp. 807–814, Sep. 1992. doi: 10.1109/72.159070
    [42]
    C. Deng and G. H. Yang, “Distributed adaptive fuzzy control for nonlinear multiagent systems under directed graphs,” IEEE Trans. Fuzzy Syst., vol. 26, no. 3, pp. 1356–1366, Jun. 2018.
    [43]
    W. Gao, Y. Jiang, and M. Davari, “Data-driven cooperative output regulation of multi-agent systems via robust adaptive dynamic programming,” IEEE Trans. Circuits Syst. II,Exp. Briefs, vol. 66, no. 3, pp. 447–451, Mar. 2019. doi: 10.1109/TCSII.2018.2849639
    [44]
    W. Gao, Z. P. Jiang, F. L. Lewis, and Y. Wang, “Leader-toformation stability of multiagent systems: An adaptive optimal control approach,” IEEE Trans. Autom. Control, vol. 63, no. 10, pp. 3581–3587, Oct. 2018. doi: 10.1109/TAC.2018.2799526
    [45]
    J. Qin, G. Zhang, W. X. Zheng, and Y. Kang, “Neural networkbased adaptive consensus control for a class of nonaffine nonlinear multiagent systems with actuator faults,” IEEE Trans. Neural Netw. Learn. Syst., vol. 30, no. 12, pp. 3633–3644, Dec. 2019. doi: 10.1109/TNNLS.2019.2901563
    [46]
    C. Y. Su and Y. Stepanenko, “Adaptive control of a class of nonlinear systems with fuzzy logic,” IEEE Trans. Fuzzy Syst., vol. 2, no. 4, pp. 285–294, Nov. 1994. doi: 10.1109/91.324808
    [47]
    J. Qin, Q. Ma, X. Yu, and Y. Kang, “Output containment control for heterogeneous linear multiagent systems with fixed and switching topologies,” IEEE Trans. Cybern., vol. 49, no. 12, pp. 4117–4128, Dec. 2019. doi: 10.1109/TCYB.2018.2859159
    [48]
    X. Wang and G. H. Yang, “Distributed reliable H∞ consensus control for a class of multi-agent systems under switching networks: A topology-based average dwell time approach,” Int. J. Robust Nonlinear Control, vol. 26, no. 13, pp. 2767–2787, 2016. doi: 10.1002/rnc.3474
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    Highlights

    • A distributed fault-tolerant containment control protocol is developed for nonlinear multi-agent systems under a directed network topology.
    • By introducing the hierarchical control strategy, the fault-tolerant containment control problem with a directed graph can be simplified to the distributed containment control of the upper layer and the fault-tolerant tracking control of the lower layer.
    • Different from most existing distributed fault-tolerant control methods where the fault in one agent may propagate over network, the developed control protocol can eliminate the phenomenon of fault propagation.

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