Volume 14, Issue 4 (Journal of Control, V.14, N.4 Winter 2021)                   JoC 2021, 14(4): 133-141 | Back to browse issues page

XML Persian Abstract Print

Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

jodaei A, Saffar Ardabili J. Controller design for containment problem of a Class of multi-agent systems with nonlinear identical dynamics and fixed directed graph. JoC 2021; 14 (4) :133-141
URL: http://joc.kntu.ac.ir/article-1-620-en.html
1- Payame Noor University
Abstract:   (5239 Views)

This paper, studies the controller design for containment problem for a class of multi-agent systems with identical time-invariant continuous-time nonlinear dynamics and fixed directed communication graph. In this problem, the Lyapunov stability theorem, the graph theory and matrix linear inequality are used. The agents are divided into two groups of leaders and followers. In containment problem, all the followers are controlled under which will asymptotically converge to the convex hull spanned by the leaders so distributed communication protocol with fixed time delay is considered and four-step algorithm is proposed for obtaining parameters and gain matrix. The above case is proved to be sufficient condition under theorem. To illustrate the reliability and efficiency of the proposed method, numerical example with simulations are presented.

Full-Text [PDF 602 kb]   (1283 Downloads)    
Type of Article: Research paper | Subject: Special
Received: 2018/09/25 | Accepted: 2019/12/9 | ePublished ahead of print: 2020/10/5 | Published: 2021/02/19

1. [1] H.G. Tanner, D. Christodoulakis, "Decentralized cooperative control of heterogeneous vehicle groups", Robotics and Autonomous System, vol. 55, no. 11, pp. 811-823, 2007. [DOI:10.1016/j.robot.2007.05.015]
2. [2] G.Ferrari-Trecate, M.Egerstedt, A.Buffa, M.Ji, "Laplacian sheep: A hybrid, stop-go policy for leader-based containment control", hybrid systems: computation and control, Springer, pp.212-226, 2006. [DOI:10.1007/11730637_18]
3. [3] M.Ji, G.Ferrari-Trecate, M.Egerstedt, A.buffa, "Containment control in mobile networks", IEEE Transaction on Automatic Control, vol.53, no.8, pp.1972-1975, 2008. [DOI:10.1109/TAC.2008.930098]
4. [4] Y.Cao, D.Stuart, W.Ren, Z.Meng, "Distributed containment control for multiple autonomous vehicles with double-integrator dynamics: algorithms and experiments", IEEE Transaction on Control Systems Technology, vol.19, no.4, pp.929-938, 2008. [DOI:10.1109/TCST.2010.2053542]
5. [5] Y.Cao, W.Ren, "Containment control with multiple stationary or dynamic leaders under a directed interaction graph", Proceeding of the 48th IEEE Conference on Decision and Control and the 28th Chinese Control Conference, Shanghai, China, pp.3014-3019, 2009. [DOI:10.1109/CDC.2009.5399946]
6. [6] Y.Cao, W.Ren, M.Egerstedt, "Distributed containment control with multiple stationary or dynamic leaders in fixed and switching direct networks", Autmatica, vol.48, no.8, pp.1586-1597, 2012. [DOI:10.1016/j.automatica.2012.05.071]
7. [7] Y.lou, Y.Hong, "Target Containment Control of Multi-Agent System with Random Switching Interconnection Topologies", Automatica, vol.48, no.5, pp.879-885, 2012. [DOI:10.1016/j.automatica.2012.02.032]
8. [8] J.Mei, W.Ren, G.Ma, "Distributed Containment Control for Lagrangian Networks with Parametric Uncertainties under a Direct Graph", Automatica, vol.48, no.4, pp.653-659, 2012. [DOI:10.1016/j.automatica.2012.01.020]
9. [9] D.Dimarogonas,P.Tsiotras, K.Kyriakopoulos, "Leader-Follower Cooperative Attitude Control of Multiple Rigid Bodies", Systems&Control Letters, vol.58, no.6, pp.429-435, 2009. [DOI:10.1016/j.sysconle.2009.02.002]
10. [10] X.Dong, J.Xi, Z. Shi, Y.Zhong, "Containment analysis and design for high-order linear time-invariant singular swarm systems with time delays", Proceeding of the 31st Chinese control conference, 25-27, July, 2012.
11. [11] Sh.Liu, L.Xie, H.Zhang, "Containment control of multi-agent systems by exploiting the control inputs of neighbors", International Journal of Robust and nonlinear Control, vol.24, issue 17, pp.2803-2818, 2013. [DOI:10.1002/rnc.3026]
12. [12] K.Liu, G.Xie, L.Wang, "Containment Control for second-order multi-agent systems with time-varying delays", Systems&Control Letters, vol.47, issue.9, pp.2048-2057, 2014.
13. [13] J. Shen, J.Lam, " Containment Control of Multi-Agent Systems With unbounded communication Delays", International Journal of Systems Science, vol.87, pp.2048-2057, 2014. [DOI:10.1080/00207721.2014.971092]
14. [14] X.Dong, L. Han, Q.Li, J. Chen, Z.Ren, "Containment Analysis and Design for general linear Multi-Agent Systems With time-varying delays", Neurocomputing, vol.173, pp.2062-2068, 2015. [DOI:10.1016/j.neucom.2015.09.055]
15. [15] Z.Feng, W.Zheng-Jie, F.Ning-Jn, "Containment consensus with measurement noises and time-varying communication delays", Chinese Physics B, vol.24, no.2, 2015. [DOI:10.1088/1674-1056/24/2/020203]
16. [16] B.Li, Z.Q.Chen, Z.X.Liu, C.Y.Zhang, Q.Zhang, "Containment control of multi-agent systems with fixed time-delays in fixed directed networks", vol.173, pp.2069-2075, 2016. [DOI:10.1016/j.neucom.2015.09.056]
17. [17] M.Parsa, M.Danesh, "Dynamic leaders containment control of high-order multi-agent systems with state time-delays: An LMI Approach", vol. 90, issue.8, pp.1612-1625, 2016. [DOI:10.1080/00207179.2016.1214880]
18. [18] F.Y.Wang, H.Y.Yang, Sh.N.Zhang, F.J.Han, "Containment control for first-order multi-agent systems with time-varying delays and uncertain topologies", Communications in theoretical physics, vol.66, pp.249-255, 2016. [DOI:10.1088/0253-6102/66/2/249]
19. [19] F.Wang, H.Yang, Z.Liu, Z.Chen, "Containment control of leader-following multi-agent systems with jointly-connected topologies and time-varying delays", vol.260, pp.341-348, 2017. [DOI:10.1016/j.neucom.2017.04.049]
20. [20] L.Shi, J.Shao, W.X.Zheng, T-Z.Huang, "Asynchronous containment control for discrete-time second-order multi-agent systems with time-varying delays", Journal of the Franklin Institute, vol.354, issue18, pp.8552-8569, 2017. [DOI:10.1016/j.jfranklin.2017.10.013]
21. [21] J.Shao, L.Shi, J.Yu, "Stationary containment control of high-order multi-agent systems with time-varying delays, Chinese Automation Congress (CAC), 2017. [DOI:10.1109/CAC.2017.8243130]
22. [22] Q.Xiong, P.Lin, Z.Chen, W.Ren, W.Gui, "Distributed containment control for first‐order and second‐order multiagent systems with arbitrarily bounded delays ", vol.29, issue.4, pp.1122-1131, 2018. [DOI:10.1002/rnc.4426]
23. [23] X.Wang, L.Shi, J.Shao," Containment control for high-order multi-agent systems with heterogeneous time delays ", IET Control theory& Applications, vol.12, issue.9, 2018. [DOI:10.1049/iet-cta.2017.1043]
24. [24] F.Wang, Z.Liu, Z.Chen, "Distributed containment time delay and intermittent communication", International Journal of Robust and Nonlinear Control, vol.28, issue 18, pp.5730-5746, 2018. [DOI:10.1002/rnc.4341]
25. [25] Q.Xiong, P.Lin, W.Ren, Ch.Yang, W.Gui," Containment control for discrete-time multi-agent systems with communication delays and switching topologies", IEEE TRANSACTIONS ON CYBERNETICS, vol.49, issue.10, 2018. [DOI:10.1109/TCYB.2018.2852333]
26. [26] D.Wang, D.Wang, W.Wang, " Necessary and sufficient conditions for containment control of multi-agent systems with time delay", Automatica, vol.103, pp.418-423, 2019. [DOI:10.1016/j.automatica.2018.12.029]
27. [27] P.Li, Q.Xiong, Ch.Yang, "Containment control for high-order multi-agent systems with nonuniform communication delays and switching topologies", IEEE Access, vol.7, pp.47577-47581, 2019. [DOI:10.1109/ACCESS.2019.2909315]
28. [28] W. Ren, Y. Cao, "Distributed coordination multi-agent networks", Emergent Problems Models and Issues, Springer, 2011. [DOI:10.1007/978-0-85729-169-1]
29. [29] Q.Ma. G.Miao." Distributed containment control of linear multi-agent systems". Neurocomputing. Vol.133, pp.399-403, 2014. [DOI:10.1016/j.neucom.2013.12.034]
30. [30] R.A.Horn. C.R.Johnson, "Topic in Matrix Analysis", Cambridge University Press, Oxford, 1991. [DOI:10.1017/CBO9780511840371]
31. [31] A.N.Langville, W.J.Stewart, "The Kronecker product and stochastic automata networks", Journal of Computational and Applied Mathematics, vol.167, issue.2, pp.429-447, 2004. [DOI:10.1016/j.cam.2003.10.010]
32. [32] L.Ma, H.Min, SH.Wang, Y.Liu, "Consensus of nonlinear multi-agent systems with self and communication time delays: A unified framework", Sciencedirect, vol.352, pp.745-7 [DOI:10.1016/j.jfranklin.2014.05.010]

Add your comments about this article : Your username or Email:

Send email to the article author

Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

© 2024 CC BY-NC 4.0 | Journal of Control

Designed & Developed by : Yektaweb