Weighted Measurement Fusion Kalman Filter for Multisensor Descriptor System

Article Preview

Abstract:

For the multi-sensor descriptor system with correlated measurement noises and same measurement matrix, the reduced-order sub-systems are obtained, applying singular value decomposition method. And measurements of every sensor are transformed to the measurement of one state component. For this new reduced-order normal system, the new fused measurement can be obtained applying the weighted least squares method. Then, the weighted measurement fusion Kalman filter and its filtering error variance are presented, applying a single Kalman filter. This method avoids computing the cross-variances among all local filters, compared with the state fusion Kalman filtering algorithm. And the accuracy of this fused filter is higher than that of local filter and state fusion Kalman filter. A simulation example verifies its effectiveness.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

940-945

Citation:

Online since:

August 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] M. M. Fahmy and J. O'reilly: Observers for descriptor systems. International Journal of Control, 49(6)(1989) 2013–(2028).

Google Scholar

[2] Y. Gao, G. L. Tao, and Z. L. Deng: Decoupled distributed Kalman fuserfor descriptor systems. Signal Processing, 88(5)( 2008) 1261–1270.

DOI: 10.1016/j.sigpro.2007.11.016

Google Scholar

[3] C. J. Ran and Z. L. Deng: Two average weighted measurement fusion Kalman filtering algorithms in sensor networks. Proceedings of the 7th World Congress on Control and Automation, Chongqing, June 25–27 (2008).

DOI: 10.1109/wcica.2008.4593296

Google Scholar

[4] M. E. Liggins, D. L. Hall, and J. Llinas: Handbook of Multisensor Data fusion: Theory and Practice, 2nd ed. CRC Press, (2008).

Google Scholar

[5] J. Ma and S. Sun: Information fusion steady-state and self-tuning full order Kalman filters for descriptor systems. Journal of Control Theory and Applications, 28(9)(2011) 1169–1174.

Google Scholar

[6] C. Ran and Z. Deng: Self-tuning distributed measurement fusion Kalman estimator for the multi-channel ARMA signal. Signal Processing, 91(2011) 2028–(2041).

DOI: 10.1016/j.sigpro.2011.03.010

Google Scholar

[7] Z. Deng, L. Gu, and C. Ran: Measurement fusion steady-state Kalman filtering algorithm with correlated noises and global optimality. Journal of Electronics & Information Technology, 31( 3)( 2009) 556–560.

DOI: 10.3724/sp.j.1004.2008.00232

Google Scholar