Robust Leader-Following Output Regulation of Uncertain Multi-Agent Systems With Time-Varying Delay

Ala Shariati; Qing Zhao

doi:10.1109/JAS.2018.7511141

Volume 5 Issue 4

Jul. 2018

IEEE/CAA Journal of Automatica Sinica

JCR Impact Factor: 15.3, Top 1 (SCI Q1)

CiteScore: 23.5, Top 2% (Q1)
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Ala Shariati and Qing Zhao, "Robust Leader-Following Output Regulation of Uncertain Multi-Agent Systems With Time-Varying Delay," IEEE/CAA J. Autom. Sinica, vol. 5, no. 4, pp. 807-817, July 2018. doi: 10.1109/JAS.2018.7511141

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Ala Shariati and Qing Zhao, "Robust Leader-Following Output Regulation of Uncertain Multi-Agent Systems With Time-Varying Delay," IEEE/CAA J. Autom. Sinica, vol. 5, no. 4, pp. 807-817, July 2018. doi: 10.1109/JAS.2018.7511141

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Robust Leader-Following Output Regulation of Uncertain Multi-Agent Systems With Time-Varying Delay

doi: 10.1109/JAS.2018.7511141

Ala Shariati^{1
,
,},
Qing Zhao^2
,

1.
Automation & Control Research Group, Faculty of Electrical and Computer Engineering, Khajeh Nasir Toosi University of Technology, Tehran 1431714191, Iran
2.
Department of Electrical and Computer Engineering at University of Alberta, Edmonton, Alberta T6R1Z6, Canada

Funds:

the Natural Science and Engineering Research Council (NSERC) of Canada RES0001828

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Abstract

Abstract

In this paper, the robust analysis and design of leader-following output regulation for multi-agent systems described by general linear models is given in presence of timevarying delay and model uncertainty. To this aim, a new regulation protocol for the closed-loop multi-agent system under a directed graph is proposed. An important specification of the proposed protocol is to guarantee the leader-following output regulation for uncertain multi-agent systems with both stable and unstable agents. Since many signals can be approximated by a combination of the stationary and ramp signals, the presented results work for adequate variety of the leaders. The analysis and design conditions are presented in terms of certain matrix inequalities. The method proposed can be used for both stationary and ramp leaders. Simulation results are presented to show the effectiveness of the proposed method.
- Linear matrix inequality (LMI),
- multi-agent systems,
- robust leader-following output regulation,
- time-varying delay

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References(25)

References

[1]	W. Ren, R. Beard, and E. Atkins, "Information consensus in multivehicle cooperative control, " IEEE Contr. Syst. Mag., vol. 27, no. 2, pp. 71-82, Apr. 2007. http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=4140748
[2]	H. Yang, M. Staroswiecki, B. Jiang, and J. Liu, "Fault tolerant cooperative control for a class of nonlinear multi-agent systems, " Syst. Contr. Lett., vol. 60, no. 4, pp. 271-277, Apr. 2011. http://www.sciencedirect.com/science/article/pii/S0167691111000259
[3]	J. Yan, X. Yang, C. L. Chen, X. Y. Luo, and X. P. Guan, "Bilateral teleoperation of multiple agents with formation control, " IEEE/CAA J. of Autom. Sinica, vol. 1, no. 2, pp. 141-148, Apr. 2014. http://ieeexplore.ieee.org/document/7004543/
[4]	R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of agents with switching topology and time-delays, " IEEE Trans. Autom. Contr., vol. 49, no. 9, pp. 1520-1533, Sep. 2004. http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=1333204
[5]	M. S. Mahmoud and G. D. Khan, "LMI consensus condition for discrete-time multi-agent systems, " IEEE/CAA J. of Autom. Sinica, vol. 5, no. 2, pp. 509-513, Mar. 2018. http://ieeexplore.ieee.org/document/7738322/
[6]	Z. K. Li, G. H. Wen, Z. S. Duan, and W. Ren, "Designing fully distributed consensus protocols for linear multi-agent systems with directed graphs, " IEEE Trans. Autom. Contr., vol. 60, no. 4, pp. 1152-1157, Apr. 2015. http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=6881684
[7]	Z. Y. Meng, W. Ren, Y. C. Cao, and Z. You, "Leaderless and leader-following consensus with communication and input delays under a directed network topology, " IEEE Trans. Syst. Man, Cybernet. Part B (Cybernet. ), vol. 41, no. 1, pp. 75-88, Feb. 2011. http://ieeexplore.ieee.org/document/5456144
[8]	L. Ding, Q. L. Han, and G. Guo, "Network-based leader-following consensus for distributed multi-agent systems, " Automatica, vol. 49, no. 7, pp. 2281-2286, July. 2013. http://www.sciencedirect.com/science/article/pii/S0005109813002331
[9]	Z. Y. Ye, Y. G. Chen, and H. Zhang, "Leader-following consensus of multiagent systems with time-varying delays via impulsive control, " Math. Probl. Eng., vol. 2014, Article No. 240503, Mar. 2014. https://www.researchgate.net/publication/286361965_Leader-Following_Consensus_of_Multiagent_Systems_with_Time-Varying_Delays_via_Impulsive_Control
[10]	H. Xia, T. Z. Huang, J-L. Shao, and J. Y. Yu, "Formation control of second-order multiagent systems with time-varying delays, " Math. Probl. Eng., vol. 2014, Article No. 764580, Jan. 2014. doi: 10.1155/2014/764580
[11]	H. W. Liu, H. R. Karimi, S. L. Du, W. G. Xia, and C. Q. Zhong, "Leader-following consensus of discrete-time multiagent systems with time-varying delay based on large delay theory, " Inf. Sci., vol. 417, pp. 236-246, Nov. 2017. http://www.sciencedirect.com/science/article/pii/S0020025516313299
[12]	Y. C. Cao, W. Ren, and M. Egerstedt, "Distributed containment control with multiple stationary or dynamic leaders in fixed and switching directed networks, " Automatica, vol. 48, no. 8, pp. 1586-1597, Aug. 2012. http://dl.acm.org/citation.cfm?id=2343432
[13]	W. Liu and J. Huang, "Adaptive leader-following consensus for a class of high-order nonlinear multi-agent systems with directed switching networks, " Automatica, vol. 79, pp. 84-92, May 2017. http://www.sciencedirect.com/science/article/pii/S0005109817300687
[14]	X. Z. Jin, Z. Zhao, and Y. G. He, "Insensitive leader-following consensus for a class of uncertain multi-agent systems against actuator faults, " Neurocomputing, vol. 272, pp. 189-196, Jan. 2018. http://www.researchgate.net/publication/318201437_Insensitive_Leader-following_Consensus_for_a_Class_of_Uncertain_Multi-agent_Systems_Against_Actuator_Faults
[15]	L. Yu and J. Wang, "Robust cooperative control for multi-agent systems via distributed output regulation, " Systems & Control Letters, vol. 62, no. 11, pp. 1049-1056, Nov. 2013. http://www.sciencedirect.com/science/article/pii/S0167691113001771
[16]	Y. M. Yan and J. Huang, "Cooperative output regulation of discrete-time linear time-delay multi-agent systems, " IET Contr. Theory Appl., vol. 10, no. 16, pp. 2019-2026, Oct. 2016. http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7725848
[17]	W. F. Hu and L. Liu, "Cooperative output regulation of heterogeneous linear multi-agent systems by event-triggered control, " IEEE Trans. Cybern., vol. 47, no. 1, pp. 105-116, Jan. 2017. http://ieeexplore.ieee.org/document/7378921/
[18]	Y. M. Yan and J. Huang, "Cooperative robust output regulation problem for discrete-time linear time-delay multi-agent systems, " Int. J. Robust Nonlin. Contr., vol. 28, no. 3, pp. 1035-1048, Feb. 2018.
[19]	A. Shariati and M. Tavakoli, "A descriptor approach to robust leader-following output consensus of uncertain multi-agent systems with delay, " IEEE Trans. Autom. Contr., vol. 62, no. 10, pp. 5310-5317, Oct. 2017. http://ieeexplore.ieee.org/document/7792586/
[20]	Y. Y. Wang, L. H. Xie, and C. E. de Souza., "Robust control of a class of uncertain nonlinear systems, " Syst. Contr. Lett., vol. 19, no. 2, pp. 139-149, Aug. 1992. http://dl.acm.org/citation.cfm?id=139259
[21]	L. A. Mozelli and R. M. Palhares, "Less conservative H_∞ fuzzy control for discrete-time takagi-sugeno systems, " Math. Probl. Eng., vol. 2011, Article No. 361640, 2011.
[22]	Tuan H. D., Apkarian P., Nakashima Y.. A new Lagrangian dual global optimization algorithm for solving bilinear matrix inequalities. Int. Robust Nonlin J.. Contr., 2000, 10(7):561-578 https://www.researchgate.net/publication/3810539_New_Lagrangian_dual_global_optimization_algorithm_for_solving_bilinear_matrix_inequalities
[23]	Y. Y. Cao, J. Lam, and Y. X. Sun, "Static output feedback stabilization: an ILMI approach, " Automatica, vol. 34, no. 12, pp. 1641-1645, Dec. 1998. http://www.sciencedirect.com/science/article/pii/S0005109898800216
[24]	M. Kocvara and M. Stingl, TOMLAB/PENBMI solver (MATLAB Toolbox), PENOPT GbR, 2005.
[25]	Moon Y. S., Park P., Kwon W. H., Lee Y. S.. Delay-dependent robust stabilization of uncertain state-delayed systems. Int. Contr J., 2001, 74(14):1447-1455 doi: 10.1080/00207170110067116

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Robust Leader-Following Output Regulation of Uncertain Multi-Agent Systems With Time-Varying Delay

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