| Title:
|
Event-triggered observer-based tracking control for leader-follower multi-agent systems (English) |
| Author:
|
Zhang, Pengxiao |
| Author:
|
Wang, Jinhuan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
52 |
| Issue:
|
4 |
| Year:
|
2016 |
| Pages:
|
589-606 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
multi-agent systems |
| Keyword:
|
event-triggered control |
| Keyword:
|
leader-follower |
| Keyword:
|
observer |
| MSC:
|
93C15 |
| MSC:
|
93C35 |
| idZBL:
|
Zbl 06644312 |
| idMR:
|
MR3565771 |
| DOI:
|
10.14736/kyb-2016-4-0589 |
| . |
| Date available:
|
2016-10-20T08:13:00Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145907 |
| . |
| Reference:
|
[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. MR 2923892, 10.1109/tac.2011.2174666 |
| Reference:
|
[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. Zbl 1258.93004, MR 3004739, 10.1016/j.automatica.2012.11.010 |
| Reference:
|
[3] Godsil, C., Royle, G.: Algebraic Graph Theory. Zbl 0968.05002 |
| Reference:
|
[4] Hong, Y., Chen, G., Bushnell, L.: Distributed observers design for leader-following control of multi-agent networks..Automatica 44 (2008), 846-850. MR 2527101, 10.1016/j.automatica.2007.07.004 |
| Reference:
|
[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. MR 2324260, 10.1109/tac.2007.895860 |
| Reference:
|
[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. Zbl 1117.93300, MR 2230987, 10.1016/j.automatica.2006.02.013 |
| Reference:
|
[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. Zbl 1227.93008, MR 2884865 |
| Reference:
|
[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. Zbl 1303.93012, MR 3251515, 10.1016/j.cnsns.2014.06.002 |
| Reference:
|
[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. MR 3072861, 10.1109/tac.2012.2235715 |
| Reference:
|
[10] Martin, S.: Multi-agent flocking under topological interactcions..Systems Control Lett. 69 (2014), 53-61. MR 3212821, 10.1109/tac.2012.2235715 |
| Reference:
|
[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. Zbl 1255.93069, MR 3052881 |
| Reference:
|
[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. Zbl 1338.93237, MR 3373080, 10.1002/asjc.928 |
| Reference:
|
[13] Seyboth, G. S., Dimarogonas, D. V., Johansson, K. H.: Event-based broadcasting for multi-agent average consensus..Automatica 49 (2013), 245-252. Zbl 1257.93066, MR 2999968, 10.1016/j.automatica.2012.08.042 |
| Reference:
|
[14] Tabuada, P.: Event-triggered real-time scheduling of stabilizing control tasks..IEEE Trans. Automat. Control 52 (2007), 1680-1685. MR 2352444, 10.1109/tac.2007.904277 |
| Reference:
|
[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. MR 2883338, 10.1049/iet-cta.2010.0653 |
| Reference:
|
[16] Thunberg, J., Goncalves, J., Hu, X.: Consensus and formation control on SE (3) for switching topologies..Automatica 66 (2016), 109-121. Zbl 1335.93014, MR 3458420, 10.1016/j.automatica.2015.12.035 |
| Reference:
|
[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. Zbl 1303.93018, MR 3190796, 10.1007/s11424-014-2062-8 |
| Reference:
|
[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. MR 3463107, 10.1007/s11768-016-5121-y |
| Reference:
|
[19] Wang, X., Ji, H., Wang, C.: Distributed output regulation for linear multi-agent systems with unknown leaders..Kybernetika 49 (2013), 524-538. Zbl 1274.93011, MR 3117912 |
| Reference:
|
[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. MR 3363243, 10.1049/iet-cta.2014.0219 |
| Reference:
|
[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. 10.1016/j.neucom.2013.11.036 |
| Reference:
|
[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. MR 3289075, 10.1049/iet-cta.2014.0207 |
| Reference:
|
[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. 10.1109/tie.2013.2290757 |
| Reference:
|
[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. 10.1109/wcica.2012.6358108 |
| Reference:
|
[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. Zbl 1291.93020, MR 3177446, 10.1080/00207179.2013.873952 |
| Reference:
|
[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. MR 3351418, 10.1109/tac.2014.2357131 |
| . |
