The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Cet article traite d'une méthode d'estimation des paramètres et de l'ordre d'un système linéaire à l'aide de filtres numériques différentiels et de la résultante. A partir des signaux observés d'entrée et de sortie d'un système objectif, nous extrayons les signaux différentiels de l'ordre zéro à un ordre élevé approprié avec les mêmes caractéristiques de phase, en utilisant plusieurs filtres numériques. En supposant que l'ordre du système est connu, nous estimons les paramètres de la fonction de transfert et évaluons les limites d'erreur d'estimation. Nous proposons une fonction critère générée par le produit des coefficients d'ordre le plus élevé et la résultante du numérateur et du dénominateur de la fonction de transfert estimée. En appliquant cette fonction critère, nous pouvons estimer l’ordre du système objectif. Le seuil correspondant à cette fonction critère est évalué à partir de l'écart des caractéristiques fréquentielles des filtres différentiels utilisés et de la limite d'erreur des paramètres estimés. Afin de démontrer la pertinence de la méthode proposée, quelques simulations numériques sont présentées.
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Yasuo TACHIBANA, Yoshinori SUZUKI, "Parameters and System Order Estimation Using Differential Filters and Resultant" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 9, pp. 1900-1910, September 1999, doi: .
Abstract: This paper deals with a method of estimating the parameters and the order of a linear system using differential digital filters and the resultant. From the observed signals of the input and output of an objective system, we extract the differential signals from the zero order to an appropriate high order with the same phase characteristics, using several digital filters. On the assumption that the system order is known, we estimate the parameters of the transfer function and evaluate the estimation error bounds. We propose a criterion function generated by the product of the highest order coefficients and the resultant of the numerator and denominator of the estimated transfer function. Applying this criterion function, we can estimate the order of the objective system. The threshold corresponding to this criterion function is evaluated from the deviation in the frequency characteristics of the used differential filters and the error bound of the estimated parameters. In order to demonstrate the propriety of the proposed method, some numerical simulations are presented.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_9_1900/_p
Copier
@ARTICLE{e82-a_9_1900,
author={Yasuo TACHIBANA, Yoshinori SUZUKI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Parameters and System Order Estimation Using Differential Filters and Resultant},
year={1999},
volume={E82-A},
number={9},
pages={1900-1910},
abstract={This paper deals with a method of estimating the parameters and the order of a linear system using differential digital filters and the resultant. From the observed signals of the input and output of an objective system, we extract the differential signals from the zero order to an appropriate high order with the same phase characteristics, using several digital filters. On the assumption that the system order is known, we estimate the parameters of the transfer function and evaluate the estimation error bounds. We propose a criterion function generated by the product of the highest order coefficients and the resultant of the numerator and denominator of the estimated transfer function. Applying this criterion function, we can estimate the order of the objective system. The threshold corresponding to this criterion function is evaluated from the deviation in the frequency characteristics of the used differential filters and the error bound of the estimated parameters. In order to demonstrate the propriety of the proposed method, some numerical simulations are presented.},
keywords={},
doi={},
ISSN={},
month={September},}
Copier
TY - JOUR
TI - Parameters and System Order Estimation Using Differential Filters and Resultant
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1900
EP - 1910
AU - Yasuo TACHIBANA
AU - Yoshinori SUZUKI
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1999
AB - This paper deals with a method of estimating the parameters and the order of a linear system using differential digital filters and the resultant. From the observed signals of the input and output of an objective system, we extract the differential signals from the zero order to an appropriate high order with the same phase characteristics, using several digital filters. On the assumption that the system order is known, we estimate the parameters of the transfer function and evaluate the estimation error bounds. We propose a criterion function generated by the product of the highest order coefficients and the resultant of the numerator and denominator of the estimated transfer function. Applying this criterion function, we can estimate the order of the objective system. The threshold corresponding to this criterion function is evaluated from the deviation in the frequency characteristics of the used differential filters and the error bound of the estimated parameters. In order to demonstrate the propriety of the proposed method, some numerical simulations are presented.
ER -