| Title:
|
Distributed output regulation for linear multi-agent systems with unknown leaders (English) |
| Author:
|
Wang, Xinghu |
| Author:
|
Ji, Haibo |
| Author:
|
Wang, Chuanrui |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
49 |
| Issue:
|
4 |
| Year:
|
2013 |
| Pages:
|
524-538 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, the distributed output regulation problem of linear multi-agent systems with parametric-uncertain leaders is considered. The existing distributed output regulation results with exactly known leader systems is not applicable. To solve the leader-following with unknown parameters in the leader dynamics, a distributed control law based on an adaptive internal model is proposed and the convergence can be proved. (English) |
| Keyword:
|
output regulation problem |
| Keyword:
|
multi-agent systems |
| Keyword:
|
internal model |
| MSC:
|
93A14 |
| MSC:
|
93C10 |
| . |
| Date available:
|
2013-09-17T16:22:41Z |
| Last updated:
|
2013-09-17 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143443 |
| . |
| Reference:
|
[1] Francis, B. A., Wonham, W. M.: The internal model priciple of control theory..Automatica 12 (1976), 457-465. MR 0429257, 10.1016/0005-1098(76)90006-6 |
| Reference:
|
[2] Godsil, C., Royle, G. F.: Algebraic Graph Theory..Springer-Verlag, New York 2001. Zbl 0968.05002, MR 1829620 |
| Reference:
|
[3] 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:
|
[4] Hong, Y., Gao, L., Cheng, D., Hu, J.: Lyapunov-based approach to multi-agent systems with switching jointly connected interaction..IEEE Trans. Automat. Control 52 (2007), 943-948. MR 2324260, 10.1109/TAC.2007.895860 |
| Reference:
|
[5] Hong, Y., Wang, X., Jiang, Z.: Distribued output regualtion of leader-follower multi-agent systems..Internat. J. Robust Nonlinear Control 23 (2003), 48-66. MR 3008001, 10.1002/rnc.1814 |
| Reference:
|
[6] Hu, J., Feng, G.: Distributed tracking control of leader-follower multi-agent systems under noisy measurement..Automatica 46 (2010), 1382-1387. Zbl 1204.93011, MR 2877254, 10.1016/j.automatica.2010.05.020 |
| Reference:
|
[7] Huang, J., Chen, Z.: A general framework for tackling the output regulation problem..IEEE Trans. Automat. Control 49 (2004), 2203-2218. MR 2106750, 10.1109/TAC.2004.839236 |
| Reference:
|
[8] Isidori, A., Byrnes, C. I.: Output regulation of nonlinear systems..IEEE Trans. Automat. Control 35 (1990), 131-140. Zbl 0989.93041, MR 1038409, 10.1109/9.45168 |
| Reference:
|
[9] Isidori, A.: Nonlinear Control Systems II..Springer-Verlag, New York 1999. Zbl 0931.93005, MR 1717603 |
| Reference:
|
[10] Khalil, H. K.: Nonlinear Systems..Second Edition. Macmillan, New York 1992. Zbl 1194.93083 |
| Reference:
|
[11] Liu, L., Chen, Z., Huang, J.: Parameter convergence and minimal internal model with an adaptive output regulation problem..Automatica 45 (2009), 1206-1311. Zbl 1162.93363, MR 2531610 |
| Reference:
|
[12] Marino, R., Tomei, P.: Nonlinear Control Design: Geometric, Adaptive and Robust..Prentice-Hall, London 1995. Zbl 0833.93003 |
| Reference:
|
[13] Marino, R., Tomei, P.: Output regulation for linear systems via adaptive internal model..IEEE Trans. Automat. Control 48 (2003), 2199-2202. MR 2027244, 10.1109/TAC.2003.820143 |
| Reference:
|
[14] Obregón-Pulido, G., Castillo-Toledo, B., Loukianov, A. G.: A structurally stable globally adaptive internal model regulator for MIMO linear systems..IEEE Trans. Automat. Control 56 (2011), 160-165. MR 2777212, 10.1109/TAC.2010.2090409 |
| Reference:
|
[15] Olfati, R., Fax, J. A., Murray, R. M.: Consensus and cooperation in networked multi-agent systems..Proc. IEEE 95 (2007), 215-223. |
| Reference:
|
[16] Su, Y., Huang, J.: Cooperative output regulation of linear multi-agent systems.IEEE Trans. Automat. Control 57 (2012), 1062-1066. Zbl 1255.93014, MR 2952342, 10.1109/TAC.2011.2169618 |
| Reference:
|
[17] 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:
|
[18] 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:
|
[19] Xu, D., Hong, Y.: Distributed output regulation of nonlinear multi-agent systems based on networked internal model..In: Proc. Chinese Contol Conference, Hefei 2012, pp. 6483-6488. |
| . |
