| Title:
|
Parametrization and geometric analysis of coordination controllers for multi-agent systems (English) |
| Author:
|
Wang, Xiaoli |
| Author:
|
Hong, Yiguang |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
45 |
| Issue:
|
5 |
| Year:
|
2009 |
| Pages:
|
785-800 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we address distributed control structures for multi-agent systems with linear controlled agent dynamics. We consider the parametrization and related geometric structures of the coordination controllers for multi-agent systems with fixed topologies. Necessary and sufficient conditions to characterize stabilizing consensus controllers are obtained. Then we consider the consensus for the multi-agent systems with switching interaction topologies based on control parametrization. (English) |
| Keyword:
|
multi-agent systems |
| Keyword:
|
parametrization |
| Keyword:
|
geometric structures |
| Keyword:
|
coordination control |
| MSC:
|
35R35 |
| MSC:
|
49J40 |
| MSC:
|
60G40 |
| MSC:
|
93C85 |
| MSC:
|
93D15 |
| idZBL:
|
Zbl 1209.93012 |
| idMR:
|
MR2599112 |
| . |
| Date available:
|
2010-06-02T19:14:40Z |
| Last updated:
|
2013-09-21 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140035 |
| . |
| Reference:
|
[1] A. Ben-Israel and T. N. E. Greville: Generalized Inverses.Wiley, New York 1972. |
| Reference:
|
[2] Y. Cao, Y. Sun, and J. Lam: Simultaneous stabilization via static output feedback and state feedback.IEEE Trans. Automat. Control 44 (1999), 1277–1282. MR 1689151 |
| Reference:
|
[3] J. A. Fax and R. M. Murray: Information flow and cooperative control of vehicle formation.IEEE Trans. Automat. Control 49 (2004), 1465–1476. MR 2086912 |
| Reference:
|
[4] C. Godsil and G. Royle: Algebraic Graph Theory.Springer-Verlag, New York 2001. MR 1829620 |
| Reference:
|
[5] Y. Hong, L. Gao, D. Cheng, and J. Hu: Lyapuov-based approach to multi-agent systems with switching jointly connected interconnection.IEEE Trans. Automat. Control 52 (2007), 943–948. MR 2324260 |
| Reference:
|
[6] R. A. Horn and C. R. Johnson: Matrix Theory.Cambridge University Press, Cambridge 1986. |
| Reference:
|
[7] J. Imura and T. Yoshikawa: Parametrization of all stabilizing controllers of nonlinear systems.Systems Control Lett. 29 (1997), 207–213. MR 1428418 |
| Reference:
|
[8] G. Lafferriere, A. Williams, J. Caughman, and J. J. P. Veerman: Decentralized control of vehicle formations.Systems Control Lett. 54 (2005), 899–910. MR 2152868 |
| Reference:
|
[9]
: .R. A. Luke, P. Dorato, and C. T. Abdallah: A survey of state feedback simultaneous stabilization techniques. |
| Reference:
|
[10]
: .http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.7062 |
| Reference:
|
[11] R. Ober: Balanced parametrization of classes of linear systems.SIAM J. Control Optim. 29 (1991), 1251–1287. Zbl 0741.93010, MR 1132182 |
| Reference:
|
[12] A. Ohara and S. Amari: Differential geometric structures of stable state feedback systems with dual connections.Kybernetika 30 (1994), 369–386. MR 1303289 |
| Reference:
|
[13] A. Ohara and T. Kitamori: Geometric stuctures of stable state feedback systems.IEEE Trans. Automat. Control 38 (1993), 1579–1583. MR 1242914 |
| Reference:
|
[14] R. Olfati-Saber and R. M. Murray: Consensus problems in networks of agents with switching topology and time-delays.IEEE Trans. Automat. Control 49 (2004), 1520–1533. MR 2086916 |
| Reference:
|
[15] W. Ren and E. Atkins: Second-order consensus protocols in multiple vehicle systems with local interactions.Proc. AIAA Guidance, Navigation, Control Conf. San Francisco, CA, 2005, Paper AIAA-2005-6238. |
| Reference:
|
[16] X. Wang and Y. Hong: Finite-time consensus for multi-agent networks with second-order agent dynamics.In: IFAC World Congress, Korea 2008, pp. 15185–15190. |
| Reference:
|
[17] M. Vidyasagar: Nonlinear Systems Analysis.Enflewood Cliffs, Prentice Hall, N.J. 1993. Zbl 1006.93001 |
| . |
