Geodesic
Event-triggered observer-based tracking control for leader-follower multi-agent systems
Kybernetika, Tome 52 (2016) no. 4, pp. 589-606 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

This paper considers the consensus tracking problem for a class of leader-follower multi-agent systems via event-triggered observer-based control. In our set-up, only a subset of the followers can obtain some relative information on the leader. Assume that the leader's control input is unknown for the followers. In order to track such a leader, we design two novel event-triggered observer-based control strategies, one centralized and the other distributed. One can prove that under the proposed control strategies, the tracking problem can be solved if the communication graph of the agents is connected. Furthermore, the Zeno-behavior of triggering time sequences can be avoided. Finally, a numerical example is given to illustrate the effectiveness of the obtained theoretical results.
This paper considers the consensus tracking problem for a class of leader-follower multi-agent systems via event-triggered observer-based control. In our set-up, only a subset of the followers can obtain some relative information on the leader. Assume that the leader's control input is unknown for the followers. In order to track such a leader, we design two novel event-triggered observer-based control strategies, one centralized and the other distributed. One can prove that under the proposed control strategies, the tracking problem can be solved if the communication graph of the agents is connected. Furthermore, the Zeno-behavior of triggering time sequences can be avoided. Finally, a numerical example is given to illustrate the effectiveness of the obtained theoretical results.
DOI : 10.14736/kyb-2016-4-0589
Classification : 93C15, 93C35
Keywords: multi-agent systems; event-triggered control; leader-follower; observer 
@article{10_14736_kyb_2016_4_0589,
     author = {Zhang, Pengxiao and Wang, Jinhuan},
     title = {Event-triggered observer-based tracking control for leader-follower multi-agent systems},
     journal = {Kybernetika},
     pages = {589--606},
     year = {2016},
     volume = {52},
     number = {4},
     doi = {10.14736/kyb-2016-4-0589},
     mrnumber = {3565771},
     zbl = {06644312},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-4-0589/}
}
TY  - JOUR
AU  - Zhang, Pengxiao
AU  - Wang, Jinhuan
TI  - Event-triggered observer-based tracking control for leader-follower multi-agent systems
JO  - Kybernetika
PY  - 2016
SP  - 589
EP  - 606
VL  - 52
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-4-0589/
DO  - 10.14736/kyb-2016-4-0589
LA  - en
ID  - 10_14736_kyb_2016_4_0589
ER  - 
%0 Journal Article
%A Zhang, Pengxiao
%A Wang, Jinhuan
%T Event-triggered observer-based tracking control for leader-follower multi-agent systems
%J Kybernetika
%D 2016
%P 589-606
%V 52
%N 4
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-4-0589/
%R 10.14736/kyb-2016-4-0589
%G en
%F 10_14736_kyb_2016_4_0589
Zhang, Pengxiao; Wang, Jinhuan. Event-triggered observer-based tracking control for leader-follower multi-agent systems. Kybernetika, Tome 52 (2016) no. 4, pp. 589-606. doi: 10.14736/kyb-2016-4-0589

[1] Dimarogonas, D. V., Frazzoli, E., Johansson, K. H.: Distributed event-triggered control for multi-agent systems. IEEE Trans. Automat. Control 57 (2012), 1291-1297. | DOI | MR

[2] Fan, Y., Feng, G., Wang, Y., Song, C.: Distributed event-triggered control of multi-agent systems with combinational measurements. Automatica 49 (2013), 671-675. | DOI | MR | Zbl

[3] Godsil, C., Royle, G.: Algebraic Graph Theory. | Zbl

[4] Hong, Y., Chen, G., Bushnell, L.: Distributed observers design for leader-following control of multi-agent networks. Automatica 44 (2008), 846-850. | DOI | MR

[5] Hong, Y., Gao, L., Cheng, D., Hu, J.: Lyapunov-based approach to multiagent systems with switching jointly connected interconnection. IEEE Trans. Automat. Control 52 (2007), 943-948. | DOI | MR

[6] Hong, Y., Hu, J., Gao, L.: Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42 (2006), 1177-1182. | DOI | MR | Zbl

[7] 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. | MR | Zbl

[8] Hu, J., Geng, J., Zhu, H.: An observer-based consensus tracking control and application to event-triggered tracking. Comm. Nonlinear Sci. Numer. Simul. 20 (2015), 559-570. | DOI | MR | Zbl

[9] Li, Z., Ren, W., Lin, X., Fu, M.: Consensus of multi-agent systems with general linear and Lipschitz nonlinear dynamics using distributed adaptive protocols. IEEE Trans. Automat. Control 58 (2013), 1786-1791. | DOI | MR

[10] Martin, S.: Multi-agent flocking under topological interactcions. Systems Control Lett. 69 (2014), 53-61. | DOI | MR

[11] Ni, W., Wang, X., Xiong, C.: Leader-following consensus of multiple linear systems under switching topologies: an averaging method. Kybernetika 48 (2012), 1194-1210. | MR | Zbl

[12] Ni, W., Zhao, P., Wang, X., Wang, J.: Event-triggered control of linear systems with saturated inputs. Asian J. Contol 17 (2015), 1196-1208. | DOI | MR | Zbl

[13] Seyboth, G. S., Dimarogonas, D. V., Johansson, K. H.: Event-based broadcasting for multi-agent average consensus. Automatica 49 (2013), 245-252. | DOI | MR | Zbl

[14] Tabuada, P.: Event-triggered real-time scheduling of stabilizing control tasks. IEEE Trans. Automat. Control 52 (2007), 1680-1685. | DOI | MR

[15] Tang, Z., Huang, T., Shao, J.: Leader-following conse nsus for multi-agent systems via sampled-data control. IET Control Theory and Applications 5 (2011), 1658-1665. | DOI | MR

[16] Thunberg, J., Goncalves, J., Hu, X.: Consensus and formation control on SE (3) for switching topologies. Automatica 66 (2016), 109-121. | DOI | MR | Zbl

[17] Wang, J., Liu, Z., Hu, X.: Consensus control design for multi-agent systems using relative output feedback. J. Systems Sci. Complex. 27 (2014), 237-251. | DOI | MR | Zbl

[18] Wang, J., Zhang, P., Liu, Z., Hu, X.: Observer-based leader-following tracking control under both fixed and switching topologies. Control Theory Technol. 14 (2016), 28-38. | DOI | MR

[19] Wang, X., Ji, H., Wang, C.: Distributed output regulation for linear multi-agent systems with unknown leaders. Kybernetika 49 (2013), 524-538. | MR | Zbl

[20] Xie, D., Xu, S., Li, Z., Zou, Y.: Event-triggered consensus control for second-order multi-agent systems. IET Control Theory and Applications 9 (2015), 667-680. | DOI | MR

[21] Yan, H., Shen, Y., Zhang, H., Shi, H.: Decentralized event-triggered consensus control for second-order multi-agent systems. Neurocomputing 133 (2014), 18-24. | DOI

[22] Zhang, H., Feng, G., Yan, H., Chen, Q.: Consensus of multi-agent systems with linear dynamics using event-triggered control. IET Control Theory Appl. 8 (2014), 2275-2281. | DOI | MR

[23] Zhang, H., Feng, G., Yan, H., Chen, Q.: Observer-based output feedback event-triggered control for consensus of multi-agent systems. IEEE Trans. Ind. Electron 61 (2014), 4885-4894. | DOI

[24] Zhang, Y., Hong, Y.: Distributed Event-triggered tracking control of multi-agent systems with active leader. In: Proc. 10th World Congress on Intelligent Control and Automation, Beijing 2012, pp. 1453-1458. | DOI

[25] Zhang, Z., Hao, F., Zhang, L., Wang, L.: Consensus of linear multi-agent systems via event-triggered control. Int. J. Control 87 (2014), 1243-1251. | DOI | MR | Zbl

[26] Zhu, W., Zhong, J.: Event-based leader-following consensus of multi-agent systems with input time delay. IEEE Trans. Automat. Control 60 (2015), 1362-1367. | DOI | MR

Cité par Sources :