Robust Kalman Filtering for Descriptor Systems with Unstructured Uncertainties

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Abstract:

A robust Kalman-type recursive filter has been proposed for descriptor systems subject to linear unstructured additive uncertainties in this paper. It is proved that the linear additive uncertainties during filtering can be represented by the intersection of a series of additive uncertainties relying on the actual plant. A set of additive uncertainties independent of the actual states is utilized in this paper to include this intersection, whose parameters can be obtained offline through convex optimizations. A numerical simulation shows that the algorithm can be realized recursively for linear additive uncertain-ties, and verifies the effectiveness of the proposed algorithm.

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Advanced Materials Research (Volumes 734-737)

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3186-3189

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August 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] Luenberger D V. Dynamic equations in descriptor form[J].IEEE Trans. Automat. Control, 1977, 22: 312~321.

DOI: 10.1109/tac.1977.1101502

Google Scholar

[2] Newcomb R W, Dziurla B. Some circuits and systems applications of semistatetheory[J]. Circuits, System, SignalProcessing, 1989, 8: 235-260.

Google Scholar

[3] Peng Cui, Chenghui Zhang, Huanshui Zhang, Hongguo Zhao. Indefinite linear quadratic optimal control problem for singular discrete-time system with multiple input delays[J]. Automatica, 2009, 45(10): 2458–2461.

DOI: 10.1016/j.automatica.2009.06.018

Google Scholar

[4] Jyh-Horng Chou, Shinn-Horng Chen, Qing-Ling Zhang. Robust controllability for linear uncertain descriptor systems Original[J]. Linear Algebra and its Applications, 2006, 414(2-3): 632-651.

DOI: 10.1016/j.laa.2005.11.005

Google Scholar

[5] Sayed A H. A framework for state-space estimation with uncertain models[J]. IEEE Trans. Automat. Control, 2001,46 (7): 998-1013.

DOI: 10.1109/9.935054

Google Scholar

[6] Ishihara J Y, Terra M H, Campos J C T. Robust KalmanFilter for Descriptor Systems[J]. IEEE Trans. Automat. Control, 2006, 51(8): 1354-1358.

DOI: 10.1109/tac.2006.878741

Google Scholar