Consensus and trajectory tracking of SISO linear multi-agent systems under switching communication topologies and formation changes

Carlos López-Limón; Javier Ruiz; Alejandro Cervantes-Herrera; Antonio Ramírez-Treviño

Kybernetika (2013)

  • Volume: 49, Issue: 2, page 375-390
  • ISSN: 0023-5954

Abstract

top
The simultaneous problem of consensus and trajectory tracking of linear multi-agent systems is considered in this paper, where the dynamics of each agent is represented by a single-input single-output linear system. In order to solve this problem, a distributed control strategy is proposed in this work, where the trajectory and the formation of the agents are achieved asymptotically even in the presence of switching communication topologies and smooth formation changes, and ensuring the closed-loop stability of the multi-agent system. Moreover, the structure and dimension of the representation of the agent dynamics are not restricted to be the same, as usually assumed in the literature. A simulation example is provided in order to illustrate the main results.

How to cite

top

López-Limón, Carlos, et al. "Consensus and trajectory tracking of SISO linear multi-agent systems under switching communication topologies and formation changes." Kybernetika 49.2 (2013): 375-390. <http://eudml.org/doc/260676>.

@article{López2013,
abstract = {The simultaneous problem of consensus and trajectory tracking of linear multi-agent systems is considered in this paper, where the dynamics of each agent is represented by a single-input single-output linear system. In order to solve this problem, a distributed control strategy is proposed in this work, where the trajectory and the formation of the agents are achieved asymptotically even in the presence of switching communication topologies and smooth formation changes, and ensuring the closed-loop stability of the multi-agent system. Moreover, the structure and dimension of the representation of the agent dynamics are not restricted to be the same, as usually assumed in the literature. A simulation example is provided in order to illustrate the main results.},
author = {López-Limón, Carlos, Ruiz, Javier, Cervantes-Herrera, Alejandro, Ramírez-Treviño, Antonio},
journal = {Kybernetika},
keywords = {consensus; multi-agent systems; tracking; switching systems; consensus; multi-agent systems; tracking; switching systems},
language = {eng},
number = {2},
pages = {375-390},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Consensus and trajectory tracking of SISO linear multi-agent systems under switching communication topologies and formation changes},
url = {http://eudml.org/doc/260676},
volume = {49},
year = {2013},
}

TY - JOUR
AU - López-Limón, Carlos
AU - Ruiz, Javier
AU - Cervantes-Herrera, Alejandro
AU - Ramírez-Treviño, Antonio
TI - Consensus and trajectory tracking of SISO linear multi-agent systems under switching communication topologies and formation changes
JO - Kybernetika
PY - 2013
PB - Institute of Information Theory and Automation AS CR
VL - 49
IS - 2
SP - 375
EP - 390
AB - The simultaneous problem of consensus and trajectory tracking of linear multi-agent systems is considered in this paper, where the dynamics of each agent is represented by a single-input single-output linear system. In order to solve this problem, a distributed control strategy is proposed in this work, where the trajectory and the formation of the agents are achieved asymptotically even in the presence of switching communication topologies and smooth formation changes, and ensuring the closed-loop stability of the multi-agent system. Moreover, the structure and dimension of the representation of the agent dynamics are not restricted to be the same, as usually assumed in the literature. A simulation example is provided in order to illustrate the main results.
LA - eng
KW - consensus; multi-agent systems; tracking; switching systems; consensus; multi-agent systems; tracking; switching systems
UR - http://eudml.org/doc/260676
ER -

References

top
  1. Back, J., Kim, H., Shim, H., 10.1049/iet-cta.2011.0197, Control & Theory Applications, IET 6 (2012), 1118-1124. MR2985189DOI10.1049/iet-cta.2011.0197
  2. Cao, Y., Ren, W., 10.1109/TSMCB.2009.2030495, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 40 (2010), 819-830. DOI10.1109/TSMCB.2009.2030495
  3. Fax, J. A., Murray, R. M., 10.1109/TAC.2004.834433, IEEE Transactions on Automatic Control 49 (2004), 1465-1476. MR2086912DOI10.1109/TAC.2004.834433
  4. Gao, L., Tang, Y., Chen, W., Zhang, H., Consensus seeking in multi-agent systems with an active leader and communication delays., Kybernetika 47 (2011), 773-789. Zbl1236.93006MR2850463
  5. Gomez-Gutierrez, D., Ramírez-Prado, G., Ramirez-Treviño, A., Ruiz-León, J., 10.1109/TII.2009.2034737, IEEE Transactions on Industrial Informatics 6 (2010), 127-135. DOI10.1109/TII.2009.2034737
  6. Hu, J., Chen, G., Li, H., Distributed event-triggered tracking control of leader-follower multi-agent systems with communication delays., Kybernetika 47 (2011), 630-643. Zbl1227.93008MR2884865
  7. Isidori, A., Non linear control systems., Springer-Verlag, London 1995. 
  8. Kailath, T., Linear systems., Prentice-Hall, 1980. Zbl0870.93013MR0569473
  9. Khalil, H. K., Nonlinear systems., Third Edition. Prentice Hall, New Jersey 2002. Zbl1194.93083
  10. Lafferriere, G., Williams, A., Caughman, J., Veerman, J.J.P., 10.1016/j.sysconle.2005.02.004, Systems and Control Letters 54 (2005), 899-910. Zbl1129.93303MR2152868DOI10.1016/j.sysconle.2005.02.004
  11. Li, Z., Duan, Z., Huang, L., Leader-follower consensus of multi-agent systems., American Control Conference (2009), 3256-3261. 
  12. Liberzon, D., Switching in systems and control., Birkhäuser, Boston 2003. Zbl1036.93001MR1987806
  13. Ma, C.Q., Zhang, J.F., 10.1109/TAC.2010.2042764, IEEE Transactions on Automatic Control 55 (2010), 1263-1268. MR2642097DOI10.1109/TAC.2010.2042764
  14. Meng, Z., Ren, W., Cao, Y., You, Z., 10.1109/TSMCB.2010.2045891, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 41 (2011), 75-87. DOI10.1109/TSMCB.2010.2045891
  15. Min, H., Sun, F., Wang, S., Li, H., 10.1049/iet-cta.2009.0607, Control Theory Appl., IET 5 (2011), 145-154. MR2807953DOI10.1049/iet-cta.2009.0607
  16. Olfati-Saber, R., Fax, J. A., Murray, R. M., Consensus and cooperation in networked multi-agent systems., IEEE Transactions on Automatic Control 95 (2007), 215-233. 
  17. Olfati-Saber, R., Murray, R. M., Consensus protocols for networks of dynamic agents., In: Proc. American Control Conference 2003, pp. 951-956. 
  18. Olfati-Saber, R., Murray, R. M., 10.1109/TAC.2004.834113, IEEE Transactions on Automatic Control 49 (2004), 1520-1533. MR2086916DOI10.1109/TAC.2004.834113
  19. Ren, W., Beard, R. W., Distributed Consensus in Multi-vehicle Cooperative Control: Theory and Applications., Springer-Verlag, London 2008. Zbl1144.93002
  20. Semsar-Kazerooni, E., Khorasani, K., 10.1109/TSMCB.2009.2026730, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 40 (2010), 540-547. DOI10.1109/TSMCB.2009.2026730
  21. Su, Y., Huang, J., 10.1109/TSMCB.2011.2179981, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 42 (2012), 864-875. DOI10.1109/TSMCB.2011.2179981
  22. Wang, X., Hong, Y., Parametrization and geometric analysis of coordination controllers for multi-agent systems., Kybernetika 45 (2009), 785-800. Zbl1209.93012MR2599112
  23. Wang, X., Han, F., Robust coordination control of switching multi-agent systems via output regulation approach., Kybernetika 47 (2011), 755-772. Zbl1236.93010MR2850462
  24. Wang, X., Hong, Y., Huang, J., Jiang, Z., A distributed control approach to robust output regulation of networked linear systems., In: Proc. 8th IEEE International Conference on Control and Automation 2010, pp. 1853-1857. 
  25. Wu, Z., Guan, Z., Wu, X., Li, T., 10.1007/s10846-006-9108-7, J. Intelligent and Robotic Systems 48 (2007), 397-410. DOI10.1007/s10846-006-9108-7
  26. Xi, X., Abed, E. H., Formation control with virtual leaders and reduced communications., In: IEEE Conference on Decision and Control 2005, pp. 1854-1860. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.