Further Results on Induced l&#x221E; 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 l∞ RH FIR Filtering

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

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The first results on the induced l∞ 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 paper discusses a new design condition for the induced l∞ 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 l∞ RH FIR filter and the H∞ RH FIR filter. Higher robustness of the proposed filter against uncertainties in the system matrix is shown in a comparison with the existing induced l∞ RH filter, which has an infinite impulse response (IIR).

Original language	English
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
DOIs	https://doi.org/10.1109/TCSII.2018.2790960
Publication status	Accepted/In press - 2018 Jan 6

Keywords

finite impulse response
Induced l∞ performance
singular matrix.
state estimation

ASJC Scopus subject areas

Electrical and Electronic Engineering

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

abstract = "The first results on the induced l∞ 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 paper discusses a new design condition for the induced l∞ 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 l∞ RH FIR filter and the H∞ RH FIR filter. Higher robustness of the proposed filter against uncertainties in the system matrix is shown in a comparison with the existing induced l∞ RH filter, which has an infinite impulse response (IIR).",

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AU - Ahn, Choon Ki

AU - Shmaliy, Yuriy S.

AU - Zhao, Shunyi

AU - You, Sung Hyun

AU - Sakthivel, R.

PY - 2018/1/6

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AB - The first results on the induced l∞ 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 paper discusses a new design condition for the induced l∞ 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 l∞ RH FIR filter and the H∞ RH FIR filter. Higher robustness of the proposed filter against uncertainties in the system matrix is shown in a comparison with the existing induced l∞ RH filter, which has an infinite impulse response (IIR).

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