A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Advanced Search
Volume 7 Issue 4
Jun.  2020

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
Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2020  >  7(4): 1098-1106
Chao Deng, Weinan Gao and Weiwei Che, "Distributed Adaptive Fault-Tolerant Output Regulation of Heterogeneous Multi-Agent Systems With Coupling Uncertainties and Actuator Faults," IEEE/CAA J. Autom. Sinica, vol. 7, no. 4, pp. 1098-1106, July 2020. doi: 10.1109/JAS.2020.1003258
Citation: Chao Deng, Weinan Gao and Weiwei Che, "Distributed Adaptive Fault-Tolerant Output Regulation of Heterogeneous Multi-Agent Systems With Coupling Uncertainties and Actuator Faults," IEEE/CAA J. Autom. Sinica, vol. 7, no. 4, pp. 1098-1106, July 2020. doi: 10.1109/JAS.2020.1003258
shu

Distributed Adaptive Fault-Tolerant Output Regulation of Heterogeneous Multi-Agent Systems With Coupling Uncertainties and Actuator Faults

doi: 10.1109/JAS.2020.1003258
Funds:  This work was supported in part by the National Natural Science Foundation of China (61473195, 61603081, 61773131, 61773056, 61873306, U1966202, 61803305, 61873338), the China Postdoctoral Science Foundation (2015M580513), and Research Fund for the Taishan Scholar Project of Shandong Province of China (TSQN201812052)
More Information
    Abstract
  • In this paper, we consider the distributed adaptive fault-tolerant output regulation problem for heterogeneous multiagent systems with matched system uncertainties and mismatched coupling uncertainties among subsystems under the influence of actuator faults. First, distributed finite-time observers are proposed for all subsystems to observe the state of the exosystem. Then, a novel fault-tolerant controller is designed to compensate for the influence of matched system uncertainties and actuator faults. By using the linear matrix inequality technique, a sufficient condition is provided to guarantee the solvability of the considered problem in the presence of mismatched coupling uncertainties. Moreover, it is shown that the system in closed-loop with the developed controller can achieve output regulation by using the Lyapunov stability theory and cyclic-small-gain theory. Finally, a numerical example is given to illustrate the effectiveness of the obtained result.

     

    • FullText(HTML)
  • loading
    • References(34)
  • [1]
    C. Deng, Y. Wang, C. Y. Wen, Y. Xu, and P. F. Lin, “Distributed resilient control for energy storage systems in cyber-physical microgrids,” IEEE Trans. Ind. Informat., Mar. 2020. doi: 10.1109/TII.2020.2981549
    [2]
    X. G. Guo, J. L. Wang, F. Liao, and R. S. H. Teo, “CNN-based distributed adaptive control for vehicle-following platoon with input saturation,” IEEE Trans. Intell. Transp. Syst., vol. 19, no. 10, pp. 3121–3132, Oct. 2018. doi: 10.1109/TITS.2017.2772306
    [3]
    D. F. Wu, G. P. Zeng, L. G. Meng, W. J. Zhou, and L. M. Li, “Gini coefficient-based task allocation for multi-robot systems with limited energy resources,” IEEE/CAA J. Autom. Sinica, vol. 5, no. 1, pp. 155–168, Jan. 2018. doi: 10.1109/JAS.2017.7510385
    [4]
    N. Xiao, W. H. Wang, L. H. Xie, T. Wongpiromsarn, E. Frazzoli, and D. Rus, “Road pricing design based on game theory and multiagent consensus,” IEEE/CAA J. Autom. Sinica, vol. 1, no. 1, pp. 31–39, Jan. 2014. doi: 10.1109/JAS.2014.7004617
    [5]
    Y. Xu, H. Y. Lu, and Z. M. Xie, “Research on multi-robot cooperative location algorithm based on wireless sensor networks,” Int. J. Innov. Comput. Inf. Control, vol. 15, no. 5, pp. 1779–1792, 2019.
    [6]
    G. Wen and W. X. Zheng, “On constructing multiple Lyapunov functions for tracking control of multiple agents with switching topologies,” IEEE Trans. Autom. Control, vol. 64, no. 9, pp. 3796–3803, 2019. doi: 10.1109/TAC.2018.2885079
    [7]
    X. L. Wang, Y. G. Hong, J. Huang, and Z. P. Jiang, “A distributed control approach to a robust output regulation problem for multi-agent linear systems,” IEEE Trans. Autom. Control, vol. 55, no. 12, pp. 2891–2895, Dec. 2010. doi: 10.1109/TAC.2010.2076250
    [8]
    Y. F. Su, Y. G. Hong, and J. Huang, “A general result on the robust cooperative output regulation for linear uncertain multi-agent systems,” IEEE Trans. Autom. Control, vol. 58, no. 5, pp. 1275–1279, May 2013. doi: 10.1109/TAC.2012.2229837
    [9]
    H. Cai, F. L. Lewis, G. Q. Hu and J. Huang, “The adaptive distributed observer approach to the cooperative output regulation of linear multiagent systems,” Automatica, vol. 75, pp. 299–305, Jan. 2017. doi: 10.1016/j.automatica.2016.09.038
    [10]
    W. N. Gao, Z-P. Jiang, F. L. Lewis, and Y. B. Wang, “Leader-to-formation stability of multi-agent 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
    [11]
    Y. W. Wang, Y. Lei, T. Bian, and Z. H. Guan, “Distributed control of nonlinear multi-agent systems with unknown and nonidentical control directions via event-triggered communication,” IEEE Trans. Cybern., 2019. doi: 10.1109/TCYB.2019.2908874
    [12]
    B. H. Wang, W. S. Chen, B. Zhang, and Y. Zhao, “Regulation cooperative control for heterogeneous uncertain chaotic systems with time delay: A synchronization errors estimation framework,” Automatica, vol. 108, pp. 108486, May 2019. doi: 10.1016/j.automatica.2019.06.038
    [13]
    Y. W. Wang, X. K. Liu, J. W. Xiao, and Y. J. Shen, “Output formation-containment of interacted heterogeneous linear systems by distributed hybrid active control,” Automatica, vol. 93, pp. 26–32, Jul. 2018. doi: 10.1016/j.automatica.2018.03.020
    [14]
    Y. Y. Guo, B. Jiang, and Y. M. Zhang, “A novel robust attitude control for quadrotor aircraft subject to actuator faults and wind gusts,” IEEE/CAA J. Autom. Sinica, vol. 5, no. 1, pp. 292–300, Jan. 2018. doi: 10.1109/JAS.2017.7510679
    [15]
    C. L. Wang, L. Guo, C. Y. Wen, Q. L. Hu, and J. Z. Qiao, “Eventtriggered adaptive attitude tracking control for spacecraft with unknown actuator faults,” IEEE Trans. Ind. Electron., vol. 67, no. 3, pp. 2241–2250, 2020. doi: 10.1109/TIE.2019.2905837
    [16]
    Y. Gu and X. J. Li, “Fault detection for sector-bounded non-linear systems with servo inputs and sensor stuck faults,” J. Control Decis., vol. 6, no. 3, pp. 147–165, Jun. 2018.
    [17]
    K. Zhang, B. Jiang, and P. Shi, “Adjustable parameter-based distributed fault estimation observer design for multiagent systems with directed graphs,” IEEE Trans. Cybern., vol. 47, no. 2, pp. 306–314, Feb. 2017.
    [18]
    Y. M. Wu and Z. S. Wang, “Fuzzy adaptive practical fixed-time consensus for second-order nonlinear multiagent systems under actuator faults”, IEEE Trans. Cybern., 2019. doi: 10.1109/TCYB.2019.2963681.
    [19]
    Y. Yang and D. Yue, “Distributed adaptive fault-tolerant control of pure-feedback nonlinear multi-agent systems with actuator failures,” Neurocomputing, vol. 221, pp. 72–84, Jan. 2017. doi: 10.1016/j.neucom.2016.09.061
    [20]
    Q. K. Shen, B. Jiang, P. Shi, and J. Zhao, “Cooperative adaptive fuzzy tracking control for networked unknown nonlinear multiagent systems with time-varying actuator faults,” IEEE Trans. Fuzzy Syst., vol. 22, no. 3, pp. 494–504, Jun. 2014. doi: 10.1109/TFUZZ.2013.2260757
    [21]
    D. Ye, M. M. Chen, and H. J. Yang, “Distributed adaptive event-triggered fault-tolerant consensus of multiagent systems with general linear dynamics,” IEEE Trans. Cybern., vol. 49, no. 3, pp. 757–767, Mar. 2019. doi: 10.1109/TCYB.2017.2782731
    [22]
    X. Z. Jin, S. Wang, J. H. Qin, W. X. Zheng, and Y. Kang, “Adaptive fault-tolerant consensus for a class of uncertain nonlinear second-order multi-agent systems with circuit implementation,” IEEE Trans. Circuits Syst. I,Reg. Papers, vol. 65, no. 7, pp. 2243–2255, 2018. doi: 10.1109/TCSI.2017.2782729
    [23]
    C. Deng and G. H. Yang, “Distributed adaptive fault-tolerant control approach to cooperative output regulation for linear multi-agent systems,” Automatica, vol. 103, pp. 62–68, May 2019. doi: 10.1016/j.automatica.2019.01.013
    [24]
    C. Deng and C. Wen, “Distributed resilient observer-based fault tolerant control for heterogeneous multi-agent systems under actuator faults and DoS attacks,” IEEE Trans. Control Netw. Syst., 2020. doi: 10.1109/TCNS.2020.2972601
    [25]
    W. N. 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, 2019. doi: 10.1109/TCSII.2018.2849639
    [26]
    Z. K. Li, M. Z. Q. Chen, and Z. T. Ding, “Distributed adaptive controllers for cooperative output regulation of heterogeneous agents over directed graphs,” Automatica, vol. 68, pp. 179–183, Jun. 2016. doi: 10.1016/j.automatica.2016.01.076
    [27]
    X. Wang and G. H. Yang, “Fault-tolerant consensus tracking control for linear multi-agent systems under switching directed network,” IEEE Trans. Cybern., 2019, doi: 10.1109/TCYB.2019.2901542.
    [28]
    S. P. Bhat and D. S. Bernstein, “Geometric homogeneity with applications to finite-time stability,” Math. Control Signals Syst.(MCSS), vol. 17, no. 2, pp. 101–127, 2005.
    [29]
    C. Deng, W. W. Che, and P. Shi, “Cooperative fault-tolerant output regulation for multi-agent systems by distributed learning control approach,” IEEE Trans. Neural Netw. Learn. Syst., doi: 10.1109/TNNLS.2019.2958151, 2019.
    [30]
    C. Q. Liu, Y. Q. Wang, D. H. Zhou, and X. Shen, “Minimum-variance unbiased unknown input and state estimation for multi-agent systems by distributed cooperative filters,” IEEE Access, vol. 6, pp. 18128–18141, 2018. doi: 10.1109/ACCESS.2018.2815662
    [31]
    J. J. E. Slotine and W. P. Li, Applied Nonlinear Control, Prentice hall Englewood Cliffs, NJ., 1991.
    [32]
    G. Wheeler, C.-Y. Su, and Y. Stepanenko, “A sliding mode controller with improved adaptation laws for the upper bounds on the norm of uncertainties,” in Proc. Amer. Control Conf., 1997, pp. 2133–2137.
    [33]
    Z. Zhu, Y. Q. Xia, and M. Y. Fu, “Adaptive sliding mode control for attitude stabilization with actuator saturation,” IEEE Trans. Ind. Electron., vol. 58, no. 10, pp. 4898–4907, Oct. 2011.
    [34]
    S. P. Bhat and D. S. Bernstein, “Finite-time stability of continuous autonomous systems,” SIAM J. Control Optim., vol. 38, no. 3, pp. 751–766, 2000. doi: 10.1137/S0363012997321358
    • Related Articles
    • Supplements(0)

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(9)

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (1052) PDF downloads(78) Cited by()

    Highlights

    • A novel distributed adaptive fault-tolerant control method is proposed to solve the fault-tolerant output regulation problem for heterogeneous MASs with matched system uncertainties and mismatched coupling uncertainties among subsystems.
    • Different from the existing distributed fault-tolerant control result, a more general directed network topology is considered in this paper. To observe the state of the exosystem, novel distributed finite-time observers are designed. In particular, a new variable is introduced in observers to identify which subsystem accurately estimates the state of the exosystem.
    • Different from our previous work, in which only the matched coupling uncertainties are considered, the more general unmatched coupling uncertainties are considered in this paper. To deal with it, a novel sufficient condition with cyclic-small-gain condition is proposed by using the linear matrix inequality technique.

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return