Full-Order Filters and Smoothers for Descriptor Systems with Delayed Measurements

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This paper is concerned with the filtering problem for descriptor system with measurement delays. Using full-order transformation, the original descriptor system with delayed measurements is transferred to the normal system with delayed state and delayed measurements. Based on the projection theory, the filter and smoother of the normal system are derived. Then, the full-order filter and smoother of the original descriptor system are given. The proposed estimators avoid the high-dimensional computation from state augmentation. Simulation research verifies the effectiveness of the proposed algorithm.

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559-563

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September 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Luigi Atzori, Antonio Iera and Giacomo Morabito: The internet of thing: A survey, Computer Networks, Vol. 54 (2010), pp.2787-2805.

DOI: 10.1016/j.comnet.2010.05.010

Google Scholar

[2] X. Lu, H. S. Zhang, W. Wang and L. H. Xie: Kalman filtering for multiple time-delay systems, Automatica, Vol. 41 (2005), pp.1455-1461.

DOI: 10.1016/j.automatica.2005.03.018

Google Scholar

[3] M. Malek-Zavarei and M. Jasmhidi: Time-Delayed systems: Analysis, Optimization and Application. (New York: North- Holland, 1987).

Google Scholar

[4] H. Zhang and L. Xie: Control and Estimation of Systems with Input/Output Delays, (Springer, 2007).

Google Scholar

[5] D. M. Yang, Q.L. Zhang and B. Yao: Descriptor system (Beijing: Science Press, 2004).

Google Scholar

[6] S. L. Sun and J. Ma: Distributed reduced-order optimal fusion Kalman filters for stochastic singular systems. Acta Automatica Sinica, Vol. 32 (2006), pp.285-290.

Google Scholar

[7] J. Ma, S. L. Sun and N. Lv: Information Fusion Reduced-Order Kalman Filters for Descriptor Systems with Delayed Measurements, Pro of 2006 World Congresson Intelligent Control and Automation, 2006: pp.1524-1528.

DOI: 10.1109/wcica.2008.4593431

Google Scholar

[8] S. L. Sun and J. Ma: Optimal filtering and smoothing for discrete-time stochastic singular systems, Signal Processing, Vol. 87 (2007), pp.189-201.

DOI: 10.1016/j.sigpro.2006.05.007

Google Scholar

[9] J. Ma and S. L. Sun: Steady-state and self-tuning information fusion full-order Kalman filters for descriptor systems, control theory & application, Vol. 28 (2001), pp.1169-1174.

Google Scholar

[10] B. D. O. Anderson and J. B. Moore: Optimal Filtering. (New York: Prentice-Hall, 1979).

Google Scholar