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Volume 6 Issue 3
May  2019

IEEE/CAA Journal of Automatica Sinica

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Arezou Elahi, Alireza Alfi and Hamidreza Modares, "\begin{document}$H_\infty$\end{document} Consensus Control of Discrete-Time Multi-Agent Systems Under Network Imperfections and External Disturbance," IEEE/CAA J. Autom. Sinica, vol. 6, no. 3, pp. 667-675, May 2019. doi: 10.1109/JAS.2019.1911474
Citation: Arezou Elahi, Alireza Alfi and Hamidreza Modares, "\begin{document}$H_\infty$\end{document} Consensus Control of Discrete-Time Multi-Agent Systems Under Network Imperfections and External Disturbance," IEEE/CAA J. Autom. Sinica, vol. 6, no. 3, pp. 667-675, May 2019. doi: 10.1109/JAS.2019.1911474

$H_\infty$ Consensus Control of Discrete-Time Multi-Agent Systems Under Network Imperfections and External Disturbance

doi: 10.1109/JAS.2019.1911474
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  • This paper presents a distributed control protocol for consensus control of multi-agent systems (MASs) under external disturbances and network imperfections, including communication delay and random packet dropout. To comply with the discrete nature of networked systems, in contrast to most of the existing work for MASs under network imperfections, the agents are modeled by discrete-time dynamics. The communication network is considered to be undirected, its delay is considered to be time-varying but bounded, and its packet dropout is modeled by a Bernoulli distributed white sequence. Sufficient conditions in terms of linear matrix inequalities (LMIs) for asymptotic mean-square consensus stability are derived under network imperfections without considering external disturbances. A desired disturbance attenuation level in the presence of both external disturbances and network imperfections is also provided. A simulation example is given to verify the effectiveness of the proposed approach in coping with network imperfection and disturbances.

     

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  • [1]
    F. L. Lewis, H. Zhang, K. Hengster-Movric, and A. Das, Cooperative Control of Multi-agent Systems: Optimal and Adaptive Design Approaches. Springer Science & Business Media, 2013.
    [2]
    M. Mesbahi and M. Egerstedt, Graph Theoretic Methods in Multiagent Networks. Princeton University Press, 2010.9
    [3]
    R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1520-1533, 2004. doi: 10.1109/TAC.2004.834113
    [4]
    W. Ren and Y. Cao, Distributed Coordination of Multi-agent Networks: Emergent Problems, Models, and Issues. Springer Science & Business Media, 2010.
    [5]
    K. Okano, M. Wakaiki, G. Yang, and J. P. Hespanha, "Stabilization of networked control systems under clock offsets and quantization," IEEE Transactions on Automatic Control, vol. 63, no. 6, pp. 1618-1633, 2018. doi: 10.1109/TAC.2017.2752007
    [6]
    A. Rahnama, M. Xia, and P. J. Antsaklis, "Passivity-based design for event-triggered networked control systems," IEEE Transactions on Automatic Control, vol. 63, no. 9, pp. 2755-2770, 2018. doi: 10.1109/TAC.2017.2774600
    [7]
    A. Rahnama and P. J. Antsaklis, "Resilient learning-based control for synchronization of passive multi-agent systems under attack," arXiv preprint arXiv: 1709.10142, pp. 1-66, 2017.
    [8]
    Y. Shoukry, M. Chong, M. Wakaiki, P. Nuzzo, A. Sangiovanni-Vincentelli, S. A. Seshia, J. P. Hespanha, and P. Tabuada, "Smt-based observer design for cyber-physical systems under sensor attacks," ACM Transactions on Cyber-Physical Systems, vol. 2, no. 1, pp. 5, 2018.
    [9]
    Y. Yan, M. Xia, A. Rahnama, and P. Antsaklis, "A passivity-based selftriggered strategy for cyber physical systems under denial-of-service attack," in Proceedings of the 56th IEEE Annual Conference on Decision and Control (CDC). IEEE, 2017, pp. 6082-6087.
    [10]
    Q. Lu, L. Zhang, M. Basin, and H. Tian, "Analysis and synthesis for networked control systems with uncertain rate of packet losses," Journal of the Franklin Institute, vol. 349, no. 7, pp. 2500-2514, 2012. doi: 10.1016/j.jfranklin.2012.05.012
    [11]
    M. Yu, L. Wang, and T. Chu, "Sampled-data stabilization of networked control systems with nonlinearity," IEE Proceedings-Control Theory and Applications, vol. 152, no. 6, pp. 609-614, 2005. doi: 10.1049/ip-cta:20045275
    [12]
    X. Su, L. Wu, and P. Shi, "Sensor networks with random link failures: distrifiltering for T-S fuzzy systems," IEEE Transactions on Industrial Informatics, vol. 9, no. 3, pp. 1739-1750, 2013. doi: 10.1109/TII.2012.2231085
    [13]
    L. Su and D. Ye, "A cooperative detection and compensation mechanism against denial-of-service attack for cyber-physical systems," Information Sciences, vol. 444, pp. 122-134, 2018. doi: 10.1016/j.ins.2018.02.066
    [14]
    H. Yuan and Y. Xia, "Resilient strategy design for cyber-physical system under DoS attack over a multi-channel framework," Information Sciences, vol. 454, pp. 312-327, 2018.
    [15]
    A. Elahi and A. Alfi, "Finite-time $H_1$ stability analysis of uncertain network-based control systems under random packet dropout and varying network delay," Nonlinear Dynamics, vol. 91, no. 1, pp. 713-731, 2018. doi: 10.1007/s11071-017-3905-3
    [16]
    A. Elahi and A. Alfi, "Finite-time $H_1$ control of uncertain networked control systems with randomly varying communication delays," ISA Transactions, vol. 69, pp. 65-88, 2017. doi: 10.1016/j.isatra.2017.04.004
    [17]
    Y. Zhang, R. Li, and X. Huo, "Stochastic consensus of discrete-time second-order multi-agent systems with measurement noises and time delays," Journal of the Franklin Institute, vol. 355, no. 5, pp. 2791-2807, 2018. doi: 10.1016/j.jfranklin.2018.01.015
    [18]
    L. Song, D. Huang, S. K. Nguang, and S. Fu, "Mean square consensus of multi-agent systems with multiplicative noises and time delays under directed fixed topologies," International Journal of Control, Automation and Systems, vol. 14, no. 1, pp. 69-77, 2016. doi: 10.1007/s12555-015-2010-y
    [19]
    X. Guo, J. Lu, A. Alsaedi, and F. E. Alsaadi, "Bipartite consensus for multi-agent systems with antagonistic interactions and communication delays," Physica A: Statistical Mechanics and Its Applications, vol. 495, pp. 488-497, 2018. doi: 10.1016/j.physa.2017.12.078
    [20]
    H. Li, H. Yang, F. Sun, and Y. Xia, "A network-bound-dependent stabilization method of networked control systems," Automatica, vol. 49, no. 8, pp. 2561-2566, 2013. doi: 10.1016/j.automatica.2013.04.032
    [21]
    S. Yan, G. Zhang, T. Li, M. Shen, and L. Li, "$H_1$ static output control of discrete-time networked control systems with an event-triggered scheme," Circuits, Systems, and Signal Processing, vol. 37, no. 2, pp. 553-568, 2018. doi: 10.1007/s00034-017-0563-0
    [22]
    K. Mathiyalagan, J. H. Park, and R. Sakthivel, "New results on passivitybased $H_1$ control for networked cascade control systems with application to power plant boiler-turbine system," Nonlinear Analysis: Hybrid Systems, vol. 17, pp. 56-69, 2015. doi: 10.1016/j.nahs.2015.02.002
    [23]
    J. Baillieul and P. J. Antsaklis, "Control and communication challenges in networked real-time systems," Proceedings of the IEEE, vol. 95, no. 1, pp. 9-28, 2007. http://d.old.wanfangdata.com.cn/OAPaper/oai_doaj-articles_ea7258c2d48ffb97fba60bd20be9c2fe
    [24]
    W. Zhao-Xia, D. Da-Jun, and F. Min-Rui, "Average consensus in directed networks of multi-agents with uncertain time-varying delays," Acta Automatica Sinica, vol. 40, no. 11, pp. 2602-2608, 2014. doi: 10.1016/S1874-1029(14)60406-7
    [25]
    Z. Ma, Z. Liu, and Z. Chen, "Modified leader-following consensus of time-delay multi-agent systems via sampled control and smart leader," International Journal of Control, Automation and Systems, vol. 15, no. 6, pp. 2526-2537, 2017. doi: 10.1007/s12555-016-0348-4
    [26]
    A. Shariati and M. Tavakoli, "A descriptor approach to robust leaderfollowing output consensus of uncertain multi-agent systems with delay," IEEE Transactions on Automatic Control, vol. 62, no. 10, pp. 5310-5317, 2017. doi: 10.1109/TAC.2016.2643444
    [27]
    Z. Wang, H. Zhang, X. Song, and H. Zhang, "Consensus problems for discrete-time agents with communication delay," International Journal of Control, Automation and Systems, vol. 15, no. 4, pp. 1515-1523, 2017. doi: 10.1007/s12555-015-0446-8
    [28]
    H. Liu, H. R. Karimi, S. Du, W. Xia, and C. Zhong, "Leader-following consensus of discrete-time multi-agent systems with time-varying delay based on large delay theory," Information Sciences, vol. 417, pp. 236-246, 2017. doi: 10.1016/j.ins.2017.07.014
    [29]
    X. Gong, Y. J. Pan, and A. Pawar, "A novel leader following consensus approach for multi-agent systems with data loss," International Journal of Control, Automation and Systems, vol. 15, no. 2, pp. 763-775, 2017. doi: 10.1007/s12555-015-0242-5
    [30]
    J. Wu and Y. Shi, "Consensus in multi-agent systems with random delays governed by a Markov chain," Systems & Control Letters, vol. 60, no. 10, pp. 863-870, 2011.
    [31]
    A. M. Yunhong, S. Zhang, B. G. Jie et al., "Consensus control of multiagent system with stochastic time-varying delay," in Proceedings of the 14th IEEE International Conference on Control and Automation (ICCA). IEEE, 2018, pp. 612-617.
    [32]
    Y. Zhang and Y. P. Tian, "Consensus of data-sampled multi-agent systems with random communication delay and packet loss," IEEE Transactions on Automatic Control, vol. 55, no. 4, pp. 939-943, 2010. doi: 10.1109/TAC.2010.2041612
    [33]
    B. Kaviarasan, R. Sakthivel, C. Wang, and F. Alzahrani, "Resilient control design for consensus of nonlinear multi-agent systems with switching topology and randomly varying communication delays," Neurocomputing, vol. 311, pp. 155-163, 2018. doi: 10.1016/j.neucom.2018.05.054
    [34]
    J. Xu, H. Zhang, and L. Xie, "Consensusability of multi-agent systems with delay and packet dropout under predictor-like protocols," arXiv preprint arXiv: 1804.07500, pp. 1-9, 2018.
    [35]
    T. Li, Z. Li, S. Shen, and S. Fei, "Extended adaptive event-triggered formation tracking control of a class of multi-agent systems with timevarying delay," Neurocomputing, vol. 316, pp. 386-398, 2018. doi: 10.1016/j.neucom.2018.08.019
    [36]
    Z. Wang, M. He, T. Zheng, Z. Fan, and G. Liu, "Guaranteed cost consensus for high-dimensional multi-agent systems with time-varying delays," IEEE/CAA Journal of Automatica Sinica, vol. 5, no. 1, pp. 181-189, 2018. doi: 10.1109/JAS.2017.7510430
    [37]
    C. J. Li and G. P. Liu, "Data-driven consensus for non-linear networked multi-agent systems with switching topology and time-varying delays," IET Control Theory & Applications, vol. 12, no. 12, pp. 1773-1779, 2018. http://d.old.wanfangdata.com.cn/Periodical/xtkxysx201801006
    [38]
    X. Li, X. Luo, J. Wang, and X. Guan, "Finite-time consensus for nonlinear multi-agent systems with time-varying delay: An auxiliary system approach," Journal of the Franklin Institute, vol. 355, no. 5, pp. 2703-2719, 2018. doi: 10.1016/j.jfranklin.2017.11.018
    [39]
    X. Liu, L. Dou, and J. Sun, "Consensus for networked multi-agent systems with unknown communication delays," Journal of the Franklin Institute, vol. 353, no. 16, pp. 4176-4190, 2016. doi: 10.1016/j.jfranklin.2016.08.005
    [40]
    M. J. Park, O. M. Kwon, J. H. Park, S. M. Lee, J. Son, and E. J. Cha, "$H_1$ consensus performance for discrete-time multi-agent systems with communication delay and multiple disturbances," Neurocomputing, vol. 138, no. 16, pp. 199-208, 2014.
    [41]
    L. Zhen-Xing and J. Hai-Bo, "Robust delay-dependent H1 consensus control for multi-agent systems with input delays," Acta Automatica Sinica, vol. 40, no. 11, pp. 2556-2562, 2014. doi: 10.1016/S1874-1029(14)60401-8
    [42]
    A. Seuret and F. Gouaisbaut, "Wirtinger-based integral inequality: application to time-delay systems," Automatica, vol. 49, no. 9, pp. 2860-2866, 2013. doi: 10.1016/j.automatica.2013.05.030
    [43]
    Y. L. Wang and Q. L. Han, "Modeling and controller design for discretetime networked control systems with limited channels and data drift," Information Sciences, vol. 269, pp. 332-348, 2014.
    [44]
    S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Society for Industrial and Applied Mathematics (SIAM), 1994.
    [45]
    T. F. Liu and Z. P. Jiang, "Distributed formation control of nonholonomic mobile robots without global position measurements," Automatica, vol. 49, no. 2, pp. 592-600, 2013. doi: 10.1016/j.automatica.2012.11.031
    [46]
    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 Transactions on Automatic Control, vol. 63, no.10, pp. 3381-3587, 2018.
    [47]
    A. J. Wang, X. F. Liao, and H. B. He, "Event-triggered differentially private average consensus for multi-agent network," IEEE/CAA Journal of Automatica Sinica, vol. 6, no. 1, pp. 75-83, 2019. doi: 10.1109/JAS.2019.1911327
    [48]
    C. Huang, G. S. Zhai, and G. S. Xu, "Necessary and sufficient conditions for consensus in third order multi-agent systems," IEEE/CAA Journal of Automatica Sinica, vol. 5, no. 6, pp. 1044-1053, 2018. doi: 10.1109/JAS.2018.7511222
    [49]
    M. S. Mahmoud and G. D. Khan, "LMI consensus condition for discrete-time multi-agent systems," IEEE/CAA Journal of Automatica Sinica, vol. 5, no. 2, pp. 509-513, 2018. doi: 10.1109/JAS.2016.7510016
    [50]
    Y. M. Wu and X. X. He, "Secure consensus control for multi-agent systems with attacks and communication delays," IEEE/CAA Journal of Automatica Sinica, vol. 4, no. 1, pp. 136-142, 2017. doi: 10.1109/JAS.2016.7510010

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