Receding horizon filtering for discrete-time linear systems with state and observation delays

In this study, the authors consider the receding horizon filtering problem for discrete-time linear systems with state and observation time delays. Novel filtering algorithm is proposed based on the receding horizon strategy in order to achieve high estimation accuracy and stability under parametric...

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Main Authors: Song, I., Kim, Du Yong, Shin, V., Jeon, M.
Format: Journal Article
Published: The Institution of Engineering and Technology 2012
Online Access:http://hdl.handle.net/20.500.11937/56028
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author Song, I.
Kim, Du Yong
Shin, V.
Jeon, M.
author_facet Song, I.
Kim, Du Yong
Shin, V.
Jeon, M.
author_sort Song, I.
building Curtin Institutional Repository
collection Online Access
description In this study, the authors consider the receding horizon filtering problem for discrete-time linear systems with state and observation time delays. Novel filtering algorithm is proposed based on the receding horizon strategy in order to achieve high estimation accuracy and stability under parametric uncertainties. New receding horizon filter uses a set of recent observations with appropriately chosen initial horizon conditions. The key contribution is the derivation of Lyapunov-like equations for receding horizon mean and covariance of system state with an arbitrary number of time delays. The authors demonstrate how the proposed algorithm robust against dynamic model uncertainties comparing with Kalman and Lainiotis filters with time delays. Superior performance of the proposed filter is illustrated through two numerical examples when the system modelling uncertainties appear. © 2012 The Institution of Engineering and Technology.
first_indexed 2025-11-14T10:05:07Z
format Journal Article
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T10:05:07Z
publishDate 2012
publisher The Institution of Engineering and Technology
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spelling curtin-20.500.11937-560282017-09-13T16:11:24Z Receding horizon filtering for discrete-time linear systems with state and observation delays Song, I. Kim, Du Yong Shin, V. Jeon, M. In this study, the authors consider the receding horizon filtering problem for discrete-time linear systems with state and observation time delays. Novel filtering algorithm is proposed based on the receding horizon strategy in order to achieve high estimation accuracy and stability under parametric uncertainties. New receding horizon filter uses a set of recent observations with appropriately chosen initial horizon conditions. The key contribution is the derivation of Lyapunov-like equations for receding horizon mean and covariance of system state with an arbitrary number of time delays. The authors demonstrate how the proposed algorithm robust against dynamic model uncertainties comparing with Kalman and Lainiotis filters with time delays. Superior performance of the proposed filter is illustrated through two numerical examples when the system modelling uncertainties appear. © 2012 The Institution of Engineering and Technology. 2012 Journal Article http://hdl.handle.net/20.500.11937/56028 10.1049/iet-rsn.2011.0094 The Institution of Engineering and Technology restricted
spellingShingle Song, I.
Kim, Du Yong
Shin, V.
Jeon, M.
Receding horizon filtering for discrete-time linear systems with state and observation delays
title Receding horizon filtering for discrete-time linear systems with state and observation delays
title_full Receding horizon filtering for discrete-time linear systems with state and observation delays
title_fullStr Receding horizon filtering for discrete-time linear systems with state and observation delays
title_full_unstemmed Receding horizon filtering for discrete-time linear systems with state and observation delays
title_short Receding horizon filtering for discrete-time linear systems with state and observation delays
title_sort receding horizon filtering for discrete-time linear systems with state and observation delays
url http://hdl.handle.net/20.500.11937/56028