Covariance Intersection Fusion Robust Time-Varying Kalman Filter for Two-Sensor System with Uncertain Noise Variances

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This paper investigates the problem of designing covariance intersection fusion robust time-varying Kalman filter for two-sensor time-varying system with uncertain noise variances. Using the minimax robust estimation principle, the local and covariance intersection (CI) fusion robust time-varying Kalman filters are presented based on the worst-case conservative system with the conservative upper bounds of noise variances. Their robustness is proved based on the proposed Lyapunov equation, and the robust accuracy of time-varying CI fuser is higher than that of each local robust time-varying Kalman filter. A two-sensor tracking system simulation verifies the robustness and robust accuracy relations.

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470-475

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December 2013

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] F.L. Lewis, LH. Xie and D. Popa, Optimal and Robust Estimation, Second Edition, CRC Press, New York, (2008).

Google Scholar

[2] F. Yang and Y. Li, Robust set-membership filtering for systems wih missing measurement: a linear matrix inequality approach, IET Signal Process. 6 (4) (2012) 341-347.

DOI: 10.1049/iet-spr.2009.0244

Google Scholar

[3] X.B. Jin, J. Bao and J.L. Zhang, Centralized fusion estimation for uncertain multisensor system based on LMI method, Proceeding of the IEEE. (2009) 2383-2387.

DOI: 10.1109/icma.2009.5246097

Google Scholar

[4] Y. Ebihara and T. Hagivara, A dilated LMI approach to robust performance analysis of linear time-invariant uncertain systems, Automatica. 41 (2005) 1933-(1941).

DOI: 10.1016/j.automatica.2005.05.023

Google Scholar

[5] K. Xiong, C.L. Wei and L.D. Liu, Robust Kalman filtering for discrete-time nonlinear systems with parameter uncertainties, Aerospace Science and Technology. 18 (2012) 15-24.

DOI: 10.1016/j.ast.2011.03.012

Google Scholar

[6] L.H. Xie, L.L. Lu, D. Zhang and H.S. Zhang, Improved robust and filtering for uncertain discrete –time systems, Automatica, 40 (2004) 873-880.

DOI: 10.1016/j.automatica.2004.01.003

Google Scholar

[7] X.M. Qu, J. Zhou, E.B. Song and Y.M. Zhu, Minimax robust optimal estimation fusion in distributed multisensor systems with uncertainties, IEEE Signal Processing Letters. 17(9) (2008) 811-814.

DOI: 10.1109/lsp.2010.2051052

Google Scholar

[8] S. J. Julier, J. K. Uhlmann, Non-divergent estimation algorithm in the presence of unknown correlations. In: Proceedings of the IEEE American Control Conference, Albuquerque, NM, USA (1997) 2369-2373.

DOI: 10.1109/acc.1997.609105

Google Scholar

[9] Z. L. Deng, P. Zhang, W. J. Qi, J. F. Liu and Y. Gao, Sequential covariance intersection fusion Kalman filter, Information Sciences. 189 (2012) 293-309.

DOI: 10.1016/j.ins.2011.11.038

Google Scholar