Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/86120
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Type: Journal article
Title: Central suboptimal H∞ filter design for linear time-varying systems with state or measurement delay
Other Titles: Central suboptimal H-infinity filter design for linear time-varying systems with state or measurement delay
Author: Basin, M.
Shi, P.
Calderon-Alvarez, D.
Wang, J.
Citation: Circuits Systems and Signal Processing, 2009; 28(2):305-330
Publisher: SP Birkhäuser Verlag Boston
Issue Date: 2009
ISSN: 0278-081X
1531-5878
Statement of
Responsibility: 
Michael Basin, Peng Shi, Dario Calderon-Alvarez, Jianfei Wang
Abstract: This paper presents central finite-dimensional H ∞ filters for linear systems with state or measurement delay that are suboptimal for a given threshold γ with respect to a modified Bolza–Meyer quadratic criterion including an attenuation control term with opposite sign. In contrast to the results previously obtained for linear time-delay systems, the paper reduces the original H ∞ filtering problems to H 2 (optimal mean-square) filtering problems, using the technique proposed in Doyle et al. (IEEE Trans. Automat. Contr. AC-34:831–847, 1989). The paper first presents a central suboptimal H ∞ filter for linear systems with state delay, based on the optimal H 2 filter from Basin et al. (IEEE Trans. Automat. Contr. AC-50:684–690, 2005), which contains a finite number of filtering equations for any fixed filtering horizon, but this number grows unboundedly as time goes to infinity. To overcome that difficulty, an alternative central suboptimal H ∞ filter is designed for linear systems with state delay, which is based on the alternative optimal H 2 filter from Basin et al. (Int. J. Adapt. Control Signal Process. 20(10):509–517, 2006). Then, the paper presents a central suboptimal H ∞ filter for linear systems with measurement delay, based on the optimal H 2 filter from Basin and Martinez-Zuniga (Int. J. Robust Nonlinear Control 14(8):685–696, 2004). Numerical simulations are conducted to verify the performance of the designed three central suboptimal filters for linear systems with state or measurement delay against the central suboptimal H ∞ filter available for linear systems without delays.
Keywords: H ∞ filtering; Nonlinear system; State delay; Measurement delay
Rights: © Birkhäuser Boston 2008
RMID: 0020127996
DOI: 10.1007/s00034-008-9077-0
Appears in Collections:Electrical and Electronic Engineering publications

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