Title:
|
Distributed $H_{\infty }$ estimation for moving target under switching multi-agent network (English) |
Author:
|
Chen, Hu |
Author:
|
Weiwei, Qin |
Author:
|
Bing, He |
Author:
|
Gang, Liu |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 (print) |
ISSN:
|
1805-949X (online) |
Volume:
|
51 |
Issue:
|
5 |
Year:
|
2015 |
Pages:
|
814-829 |
Summary lang:
|
English |
. |
Category:
|
math |
. |
Summary:
|
In this paper, the distributed $H_\infty$ estimation problem is investigated for a moving target with local communication and switching topology. Based on the solution of the algebraic Riccati equation, a recursive algorithm is proposed using constant gain. The stability of the proposed algorithm is analysed by using the Lyapounov method, and a lower bound for estimation errors is obtained for the proposed common $H_\infty$ filter. Moreover, a bound for the $H_{\infty}$ parameter is obtained by means of the solution of the algebraic Riccati equation. Finally, a simulation example is employed to illustrate the effectiveness of the proposed estimation algorithm. (English) |
Keyword:
|
multi-agent systems |
Keyword:
|
distributed estimation |
Keyword:
|
$H_\infty $ filter |
Keyword:
|
switching topology |
MSC:
|
62A10 |
MSC:
|
93E12 |
idZBL:
|
Zbl 06537782 |
idMR:
|
MR3445986 |
DOI:
|
10.14736/kyb-2015-5-0814 |
. |
Date available:
|
2015-12-16T19:03:11Z |
Last updated:
|
2018-01-10 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144745 |
. |
Reference:
|
[1] Cattivelli, F. S., Sayed, A. H.: Diffusion LMS strategies for distributed estimation..IEEE Trans. Signal Process. 58 (2010), 1035-1048. MR 2751419, 10.1109/tsp.2009.2033729 |
Reference:
|
[2] Cattivelli, F. S., Sayed, A. H.: Diffusion strategies for distributed Kalman filtering and smoothing..IEEE Trans. Automat. Control 55 (2010), 2069-2084. MR 2722500, 10.1109/tac.2010.2042987 |
Reference:
|
[3] Dong, H., Wang, Z., Gao, H.: Distributed $H_\infty$ filtering for a class of Markovian jump nonlinear time-delay systems over Lossy sensor networks..IEEE Trans. Industr. Electronics 60 (2013), pp. 4665-4672. 10.1109/tie.2012.2213553 |
Reference:
|
[4] Godsil, C., Royle, G.: Algebraic Graph Theory..Springer-Verlag, New York 2001. Zbl 0968.05002, MR 1829620 |
Reference:
|
[5] Hong, Y., Hu, J., Gao, L. X.: 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:
|
[6] Hong, Y., Wang, X.: Multi-agent tracking of a high-dementional active leader with switching topology..J. Systems Sci. Complex. 22 (2009), 722-731. MR 2565265, 10.1007/s11424-009-9197-z |
Reference:
|
[7] Horn, R. A., Johnson, C. R.: Matrix Analysis..Cambridge University Press, 2012. Zbl 0801.15001 |
Reference:
|
[8] Hu, J., Xie, L., Zhang, C.: Diffusion Kalman filtering based on covariance intersection..In: Proc. 18th IFAC World Congress, Milano 2011, pp. 12471-12476. MR 2919485, 10.1007/s11424-009-9197-z |
Reference:
|
[9] Kailath, T., Sayed, A. H., Hassibi, B.: Linear Estimation..Prentice Hall, New Jersey 2000. Zbl 0862.93056 |
Reference:
|
[10] Kar, S., Moura, J. M. F.: Grossip and distributed Kalman filtering: weak consensus under weak detectability..IEEE Trans. Signal Process. 59 (2011), 1766-1784. MR 2807748, 10.1109/tsp.2010.2100385 |
Reference:
|
[11] Marshall, A. W., Olkin, I., Arnold, B. C.: Inequalities: Theory of Majorization and Its Applications..Springer-Verlag, New York 2010. Zbl 1219.26003, MR 2759813 |
Reference:
|
[12] Nelson, T. R., Freeman, R. A.: Decentralized $H_\infty$ filtering in a multi-agent system..In: Proc. 2009 American Control Conference, St. Louis 2009, pp. 5755-5760. 10.1109/acc.2009.5160702 |
Reference:
|
[13] Nemirovskii, A., Gahinet, P.: The projective method for solving linear matrix inequalities..In: Proc. 1994 American Control Conference, Baltimore 1994, pp. 840-844. 10.1109/acc.1994.751861 |
Reference:
|
[14] Olfati-Saber, R.: Distributed Kalman filtering for sensor networks..In: Proc. 46th IEEE Conference on Decision and Control, New Orleans 2007, pp. 5492-5498. 10.1109/cdc.2007.4434303 |
Reference:
|
[15] Olfati-Saber, R.: Kalman-consensus filter : optimality, stability, and performance..In: Proc. 48th IEEE Conference on Decision and Control, Proc. 28th Chinese Control Conference, Shanghai 2009, pp. 7036-7042. 10.1109/cdc.2009.5399678 |
Reference:
|
[16] Olfati-Saber, R., Jalalkamali, P.: Collaborative target tracking using distributed Kalman filtering on mobile sensor networks..In: Proc. 2011 American Control Conference, San Francisco 2011, pp. 1100-1105. 10.1109/acc.2011.5990979 |
Reference:
|
[17] Ramamurthy, H., Prabhu, B. S., Gadh, R., Madni, A. M.: Wireless industrial monitoring and control using a smart sensor platform..IEEE Sensors J. 7 (2007), 611-618. 10.1109/jsen.2007.894135 |
Reference:
|
[18] Saboori, I., Khorasani, K.: $H_\infty$ consensus achievement of multi-agent systems with disrected and switching topology networks..IEEE Trans. Automat. Control 59 (2014), 3104-3109. MR 3271167, 10.1109/tac.2014.2358071 |
Reference:
|
[19] Shen, B., Wang, Z., Hung, Y. S.: Distributed $H_\infty$-consensus filtering in sensor networks with multiple missing measurements: The finite-horizon case..Automatica 46 (2010), 1682-1688. Zbl 1204.93122, MR 2877323, 10.1016/j.automatica.2010.06.025 |
Reference:
|
[20] Ugrinovskii, V.: Distributed robust filtering with $H_\infty$ consensus of estimates..Automatica 47 (2011), 1-13. Zbl 1209.93152, MR 2878241, 10.1016/j.automatica.2010.10.002 |
Reference:
|
[21] Ugrinovskii, V., Fridman, E.: A Round-Robin type protocol for distributed estimation with $H_\infty$ consensus..Systems Control Lett. 69 (2014), 103-110. Zbl 1288.93009, MR 3212828, 10.1016/j.sysconle.2014.05.001 |
Reference:
|
[22] Zhang, Q., Zhang, J.: Distributed parameter estimation over unreliable networks with Markovian switching topologies..IEEE Trans. Automat. Control 57 (2012), 2545-2560. MR 2991656, 10.1109/tac.2012.2188353 |
Reference:
|
[23] Zhou, Z., Fang, H., Hong, Y.: Distributed estimation for moving target under switching interconnection network..In: Proc. 12th International Conference on Control Automation Robotics Vision (ICARCV), Guangzhou 2012, pp. 1818-1823. 10.1109/icarcv.2012.6485302 |
Reference:
|
[24] Zhou, Z., Fang, H., Hong, Y.: Distributed estimation for moving target based on state-consensus strategy..IEEE Trans. Automat. Control 58 (2013), 2096-2101. MR 3090041, 10.1109/tac.2013.2246476 |
. |