Title:
|
Quantized distributed output regulation of multi-agent systems (English) |
Author:
|
Wang, Xiaoli |
Author:
|
Chen, Yumin |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 (print) |
ISSN:
|
1805-949X (online) |
Volume:
|
52 |
Issue:
|
3 |
Year:
|
2016 |
Pages:
|
427-440 |
Summary lang:
|
English |
. |
Category:
|
math |
. |
Summary:
|
Motivated by digital communication channel, we consider the distributed output regulation problem for linear multi-agent systems with quantized state measurements. Quantizers take finitely many values and have an adjustable "zoom" parameter. Quantized distributed output regulation concerns designing distributed feedback by employing quantized technique for multi-agent systems such that all agents can track an active leader, and/or distributed disturbance rejection. With the solvability conditions satisfied, both hybrid static and dynamic feedback with quantized strategy are developed. (English) |
Keyword:
|
multi-agent systems |
Keyword:
|
distributed output regulation |
Keyword:
|
active leader |
Keyword:
|
quantized control |
MSC:
|
35R35 |
MSC:
|
49J40 |
MSC:
|
60G40 |
idZBL:
|
Zbl 06644303 |
idMR:
|
MR3532515 |
DOI:
|
10.14736/kyb-2016-3-0427 |
. |
Date available:
|
2016-07-17T12:17:27Z |
Last updated:
|
2018-01-10 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145784 |
. |
Reference:
|
[1] Brockett, R. W., Liberzon, D.: Quantized feedback stabilization of linear systems..IEEE Trans. Automat. Control 45 (2000), 1279-1289. Zbl 0988.93069, MR 1779982, 10.1109/9.867021 |
Reference:
|
[2] Buhl, J., Stumpter, D., Couzin, I., Hale, J., Despland, E., Miller, E., Simpson, S.: From disorder to order in marching locusts..Science 312 (2006), 1402-1406. 10.1126/science.1125142 |
Reference:
|
[3] Carli, R., Bullo, F.: Quantized coordination algorithms for rendezvous and deployment..SIAM J. Control Optim. 48 (2009), 1251-1274. Zbl 1192.68845, MR 2496975, 10.1137/070709906 |
Reference:
|
[4] Fax, J. A., Murray, R. M.: Information flow and cooperative control of vehicle formation..IEEE Trans. Autom. Control 49 (2004), 1465-1476. MR 2086912, 10.1109/tac.2004.834433 |
Reference:
|
[5] Godsil, C., Royle, G.: Algebraic Graph Theory..Springer-Verlag, New York 2001. Zbl 0968.05002, MR 1829620, 10.1007/978-1-4613-0163-9 |
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] Hong, Y., Wang, X., Jiang, Z.: Distributed output regulation of leader-follower multi-agent systems..Int. J. Robust Nonlinear Control 23 (2013), 48-66. Zbl 1263.93007, MR 3008001, 10.1002/rnc.1814 |
Reference:
|
[8] Hu, J., Feng, G.: Quantized tracking control for a multi-agent system with high-order leader dynamics..Asian J. Control 13 (2011), 988-997. Zbl 1263.93008, MR 2869902, 10.1002/asjc.311 |
Reference:
|
[9] Huang, J.: Nonlinear Output Regulation: Theory & Applications..SIAM, Phildelphia 2004. Zbl 1087.93003, MR 2308004, 10.1137/1.9780898718683 |
Reference:
|
[10] Liberzon, D.: Hybrid feedback stabilization of systems with quantized signals..Automatica. 39 (2003), 1543-1554. Zbl 1030.93042, MR 2143462, 10.1016/s0005-1098(03)00151-1 |
Reference:
|
[11] Lu, M., Huang, J.: Cooperative output regulation problem for linear time-delay multi-agent systems under switching network..In: 33rd Chinese Control Conference (CCC) 2014, pp. 3515-3520. 10.1109/chicc.2014.6895523 |
Reference:
|
[12] Kameneva, T., Nesic, D.: Further results on robustness of linear control systems with quantized feedback..In: Proc. American Control Conference. New York 2007, pp. 1015-1020. 10.1109/acc.2007.4282150 |
Reference:
|
[13] Kashyap, A., Basar, T., Srikant, R.: Quantized consensus..Automatica 43 (2007), 1192-1203. Zbl 1123.93090, MR 2306766, 10.1016/j.automatica.2007.01.002 |
Reference:
|
[14] Tang, Y., Hong, Y., Wang, X.: Distributed output regulation for a class of nonlinear multi-agent systems with unknown-input leaders..Automatica 62 (2015), 154-160. Zbl 1330.93018, MR 3423983, 10.1016/j.automatica.2015.09.014 |
Reference:
|
[15] Wang, X., Han, F.: Robust coordination control of switching multi-agent systems via output regulation approach..Kybernetika 47 (2011), 755-772. Zbl 1236.93010, MR 2850462 |
Reference:
|
[16] Wang, X., Hong, Y., Huang, J., Jiang, Z.: A distributed control approach to a robust output regulation problem for multi-agent linear systems..IEEE Trans. Automat. Control 55 (2010), 2891-2895. MR 2767160, 10.1109/tac.2010.2076250 |
Reference:
|
[17] Wang, X., Ni, W., Wang, X.: Leader-following formation of switching multirobot systems via internal model..IEEE Trans. Syst. Man. Cyber. Part B: Cyber. 42 (2012), 817-826. 10.1109/tsmcb.2011.2178022 |
Reference:
|
[18] Yang, Z., Hong, Y.: Stabilization of impulsive hybrid systems using quantized input and output feedback..Asian J. Control 14 (2012), 679-692. Zbl 1303.93144, MR 2925999, 10.1002/asjc.385 |
. |