Further Results on Induced ∞ RH FIR Filtering

Choon Ki Ahn; Yuriy S. Shmaliy; Shunyi Zhao; Sung Hyun You; R. Sakthivel

doi:10.1109/TCSII.2018.2790960

Further Results on Induced ∞ RH FIR Filtering

Choon Ki Ahn, Yuriy S. Shmaliy, Shunyi Zhao, Sung Hyun You, R. Sakthivel

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1 Citation (Scopus)

Abstract

The first results on the induced ∞receding horizon (RH) finite impulse response (FIR) filtering were obtained by Ahn for a nonsingular system matrix without consideration of external control input, which limited the area of applications. This brief discusses a new design condition for the induced ∞ RH FIR filter applied to model with an arbitrary system matrix and external control input. Based upon this result, a correspondence is found between the induced ∞ RH FIR filter and the ∞ RH FIR filter. Higher robustness of the proposed filter against uncertainties in the system matrix is shown in a comparison with the existing induced ∞ RH filter, which has an infinite impulse response.

Original language	English
Article number	8249876
Pages (from-to)	1124-1128
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	65
Issue number	8
DOIs	https://doi.org/10.1109/TCSII.2018.2790960
Publication status	Published - 2018 Aug

Keywords

Terms.Induced‡ performance
finite impulse response
singular matrix
state estimation

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TCSII.2018.2790960

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title = "Further Results on Induced ∞ RH FIR Filtering",

abstract = "The first results on the induced ∞receding horizon (RH) finite impulse response (FIR) filtering were obtained by Ahn for a nonsingular system matrix without consideration of external control input, which limited the area of applications. This brief discusses a new design condition for the induced ∞ RH FIR filter applied to model with an arbitrary system matrix and external control input. Based upon this result, a correspondence is found between the induced ∞ RH FIR filter and the ∞ RH FIR filter. Higher robustness of the proposed filter against uncertainties in the system matrix is shown in a comparison with the existing induced ∞ RH filter, which has an infinite impulse response.",

keywords = "Terms.Induced‡ performance, finite impulse response, singular matrix, state estimation",

author = "Ahn, {Choon Ki} and Shmaliy, {Yuriy S.} and Shunyi Zhao and You, {Sung Hyun} and R. Sakthivel",

note = "Funding Information: Manuscript received September 22, 2017; revised December 7, 2017; accepted January 1, 2018. Date of publication January 8, 2018; date of current version July 31, 2018. This work was supported by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325. This brief was recommended by Associate Editor H. K. Lam. (Corresponding authors: Choon Ki Ahn; R. Sakthivel.) C. K. Ahn and S. H. You are with the School of Electrical Engineering, Korea University, Seoul 136-701, South Korea (e-mail: hiron-aka@korea.ac.kr). Publisher Copyright: {\textcopyright} 2012 IEEE.",

year = "2018",

month = aug,

doi = "10.1109/TCSII.2018.2790960",

language = "English",

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AU - Shmaliy, Yuriy S.

AU - Zhao, Shunyi

AU - You, Sung Hyun

AU - Sakthivel, R.

N1 - Funding Information: Manuscript received September 22, 2017; revised December 7, 2017; accepted January 1, 2018. Date of publication January 8, 2018; date of current version July 31, 2018. This work was supported by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325. This brief was recommended by Associate Editor H. K. Lam. (Corresponding authors: Choon Ki Ahn; R. Sakthivel.) C. K. Ahn and S. H. You are with the School of Electrical Engineering, Korea University, Seoul 136-701, South Korea (e-mail: hiron-aka@korea.ac.kr). Publisher Copyright: © 2012 IEEE.

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AB - The first results on the induced ∞receding horizon (RH) finite impulse response (FIR) filtering were obtained by Ahn for a nonsingular system matrix without consideration of external control input, which limited the area of applications. This brief discusses a new design condition for the induced ∞ RH FIR filter applied to model with an arbitrary system matrix and external control input. Based upon this result, a correspondence is found between the induced ∞ RH FIR filter and the ∞ RH FIR filter. Higher robustness of the proposed filter against uncertainties in the system matrix is shown in a comparison with the existing induced ∞ RH filter, which has an infinite impulse response.

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KW - state estimation

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Further Results on Induced ∞ RH FIR Filtering

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