Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/84670
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Type: Conference paper
Title: Central suboptimal H∞ filter design for linear time-varying systems with state delay
Other Titles: Central suboptimal H-infinity filter design for linear time-varying systems with state delay
Author: Basin, M.
Shi, P.
Calderon-Alvarez, D.
Wang, J.
Citation: Proceedings of the ... American Control Conference. American Control Conference, 2008, pp.1-6
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Publisher Place: Online
Issue Date: 2008
Series/Report no.: Proceedings of the American Control Conference
ISBN: 9781424420797
ISSN: 0743-1619
2378-5861
Conference Name: 2008 American Control Conference (ACC) (11 Jun 2008 - 13 Jun 2008 : Seattle, WA)
Statement of
Responsibility: 
Michael Basin, Peng Shi, Dario Calderon-Alvarez & Jianfei Wang
Abstract: This paper presents the central finite-dimensional H∞ filters for linear systems with state delay, that are suboptimal for a given threshold ϒwith 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 Hyen filtering problems to H₂ (optimal mean-square) filtering problems, using the technique proposed in [1]. The paper first presents the central suboptimal H∞ filter for linear systems with state delay, based on the optimal H₂ filter from [37], 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∞filter is designed for linear systems with state delay, which is based on the alternative optimal H₂ filter from [38]. Numerical simulations are conducted to verify performance of the designed central suboptimal filters for linear systems with state delay against the central suboptimal Hyen filter available for linear systems without delays.
Rights: © 2008 AACC
DOI: 10.1109/ACC.2008.4586456
Published version: http://dx.doi.org/10.1109/acc.2008.4586456
Appears in Collections:Aurora harvest 7
Electrical and Electronic Engineering publications

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