Output consensus of nonlinear multi-agent systems with unknown control directions

Yutao Tang

Kybernetika (2015)

  • Volume: 51, Issue: 2, page 335-346
  • ISSN: 0023-5954

Abstract

top
In this paper, we consider an output consensus problem for a general class of nonlinear multi-agent systems without a prior knowledge of the agents' control directions. Two distributed Nussbaum-type control laws are proposed to solve the leaderless and leader-following adaptive consensus for heterogeneous multiple agents. Examples and simulations are given to verify their effectiveness.

How to cite

top

Tang, Yutao. "Output consensus of nonlinear multi-agent systems with unknown control directions." Kybernetika 51.2 (2015): 335-346. <http://eudml.org/doc/270118>.

@article{Tang2015,
abstract = {In this paper, we consider an output consensus problem for a general class of nonlinear multi-agent systems without a prior knowledge of the agents' control directions. Two distributed Nussbaum-type control laws are proposed to solve the leaderless and leader-following adaptive consensus for heterogeneous multiple agents. Examples and simulations are given to verify their effectiveness.},
author = {Tang, Yutao},
journal = {Kybernetika},
keywords = {output consensus; heterogeneous multi-agent system; unknown control direction; adaptive control; output consensus; heterogeneous multi-agent system; unknown control direction; adaptive control},
language = {eng},
number = {2},
pages = {335-346},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Output consensus of nonlinear multi-agent systems with unknown control directions},
url = {http://eudml.org/doc/270118},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Tang, Yutao
TI - Output consensus of nonlinear multi-agent systems with unknown control directions
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 2
SP - 335
EP - 346
AB - In this paper, we consider an output consensus problem for a general class of nonlinear multi-agent systems without a prior knowledge of the agents' control directions. Two distributed Nussbaum-type control laws are proposed to solve the leaderless and leader-following adaptive consensus for heterogeneous multiple agents. Examples and simulations are given to verify their effectiveness.
LA - eng
KW - output consensus; heterogeneous multi-agent system; unknown control direction; adaptive control; output consensus; heterogeneous multi-agent system; unknown control direction; adaptive control
UR - http://eudml.org/doc/270118
ER -

References

top
  1. Bai, H., Arcak, M., Wen, J., Cooperative Control Design: A Systematic, Passivity-Based Approach, Springer-Verlag, New York 2011. Zbl1228.93001MR3222616
  2. Chen, W., Li, X., Ren, W., Wen, C., 10.1109/tac.2013.2293452, IEEE Trans. Automat. Control 59 (2014), 1887-1892. MR3232080DOI10.1109/tac.2013.2293452
  3. Chopra, N., Spong, M. W., 10.1007/978-3-540-37347-6_6, In: Advances in Robot Control (S. Kawamura and M. Svinin, eds.), Springer Verlag, Berlin 2006, pp. 107-134. Zbl1134.93308DOI10.1007/978-3-540-37347-6_6
  4. Du, J., Guo, C., Yu, S., Zhao, Y., 10.1109/joe.2007.893684, IEEE J. Ocean. Eng. 32 (2007), 346-352. DOI10.1109/joe.2007.893684
  5. 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
  6. Hamadeh, A., Stan, G., Sepulchre, R., Gonçalves, J., 10.1109/tac.2011.2164015, IEEE Trans. Automat. Control 57(2012), 478-483. MR2918753DOI10.1109/tac.2011.2164015
  7. Hong, Y., Hu, J., Gao, L., 10.1016/j.automatica.2006.02.013, Automatica 42 (2006), 1177-1182. Zbl1117.93300MR2230987DOI10.1016/j.automatica.2006.02.013
  8. Hong, Y., Wang, X., 10.1007/s11424-009-9197-z, J. Syst. Sci. Complex. 22 (2009), 722-731. Zbl1300.93014MR2565265DOI10.1007/s11424-009-9197-z
  9. Hu, J., Hong, Y., 10.1016/j.physa.2006.08.015, Phys. A 374 (2007), 853-863. DOI10.1016/j.physa.2006.08.015
  10. Jayawardhana, B., 10.1109/cdc.2005.1582676, In: Proc. 44th IEEE Conference on Decision and Control and 2005 European Control Conference. Chicago 2005, pp. 3333-3338. DOI10.1109/cdc.2005.1582676
  11. Khalil, H. K., Nonlinear Systems. Third edition., Prentice Hall, New Jersey 2002. 
  12. Liu, Y., Tao, G., 10.1109/cdc.2008.4739463, In: Proc. 47th IEEE Conference on Decision and Control. Cancun 2008, pp. 2600-2605. DOI10.1109/cdc.2008.4739463
  13. Mesbahi, M., Egerstedt, M., Graph Theoretic Methods in Multiagent Networks., Princeton University Press, New Jersey 2010. Zbl1203.93001MR2675288
  14. Ni, W., Cheng, D., 10.1016/j.sysconle.2010.01.006, Systems Control Lett. 59 (2010), 209-217. MR2642259DOI10.1016/j.sysconle.2010.01.006
  15. Nussbaum, R. D., 10.1016/0167-6911(83)90021-x, Systems Control Lett. 3 (1983), 243-246. Zbl0524.93037MR0722952DOI10.1016/0167-6911(83)90021-x
  16. Olfati-Saber, R., Fax, J., Murray, R., 10.1109/jproc.2006.887293, Proc. IEEE 95 (2007), 215-233. DOI10.1109/jproc.2006.887293
  17. Peng, J., Ye, X., 10.1016/j.sysconle.2014.02.010, Systems Control Lett. 68 (2014), 51-56. Zbl1288.93007MR3199877DOI10.1016/j.sysconle.2014.02.010
  18. Ren, W., Beard, R. W., 10.1007/978-1-84800-015-5, Springer-Verlag, London 2008. Zbl1144.93002DOI10.1007/978-1-84800-015-5
  19. Schaft, A., 10.1007/978-1-4471-0507-7, Springer-Verlag, New York 1999. DOI10.1007/978-1-4471-0507-7
  20. Su, Y., Huang, J., 10.1016/j.sysconle.2013.02.013, Systems Control Lett. 62 (2013), 461-467. Zbl1279.93014MR3046870DOI10.1016/j.sysconle.2013.02.013
  21. Tang, Y., 10.1049/iet-cta.2013.0869, IET Control Theory Appl. 8 (2014), 773-781. MR3235554DOI10.1049/iet-cta.2013.0869
  22. Wang, X., Xu, D., Hong, Y., 10.1016/j.sysconle.2014.09.004, Systems Control Lett. 73 (2014), 58-66. Zbl1297.93018MR3270955DOI10.1016/j.sysconle.2014.09.004
  23. Ye, X., 10.1109/9.802918, IEEE Trans. Automat. Control 44 (1999), 2072-2076. Zbl0955.93002MR1735717DOI10.1109/9.802918

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.