Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/84337
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Type: Conference paper
Title: Finite-Dimensional H infinity Filter Design for Linear Systems with State Delay
Author: Basin, M.
Shi, P.
Calderon-Alvarez, D.
Wang, J.
Citation: Proceedings of the 17th International Federation of Automatic Control World Congress, 2008 / M. J. Chung, P. Misra (eds.): pp.12359-12364
Publisher: International Federation of Automatic Control (IFAC)
Publisher Place: UK
Issue Date: 2008
ISBN: 9783902661005
ISSN: 1474-6670
Conference Name: The International Federation of Automatic Control World Congress (17th : 2008 : Korea)
Statement of
Responsibility: 
Michael V. Basin, Peng Shi, Dario Calderon Alvarez, Jianfei Wang
Abstract: This paper presents the central finite-dimensional H_infinity filters for linear systems with state delay, that is suboptimal for a given threshold gamma with respect to a modified Bolza-Meyer quadratic criterion including the attenuation control term with the opposite sign. In contrast to the results previously obtained for linear time delay systems, the paper reduces the original H_infinity filtering problems to H_2 (optimal mean-square) filtering problems, using the technique proposed in [1]. The paper first presents the central suboptimal H_infinity filter for linear systems with state delay, based on the optimal H_2 filter from [33], which contains a finite number of the filtering equations for any fixed filtering horizon, but this number grows unboundedly as time goes to infinity. To overcome that difficulty, the alternative central suboptimal H_infinity filter is designed for linear systems with state delay, which is based on the alternative optimal H_2 filter from [34]. Numerical simulations are conducted to verify performance of the designed central suboptimal filters for linear systems with state delay against the central suboptimal H_infinity filter available for linear systems without delays.
Rights: Copyright status unknown
RMID: 0020130220
DOI: 10.3182/20080706-5-KR-1001.02092
Appears in Collections:Electrical and Electronic Engineering publications

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