Identification of Continuous-Time Deterministic System utilizing Orthonormal Basis Functions and Sample Data

Maria Coronel; Rodrigo Carvajal; Juan C. Aguero

doi:10.1109/CHILECON47746.2019.8987645

Identification of Continuous-Time Deterministic System utilizing Orthonormal Basis Functions and Sample Data

Maria Coronel, Rodrigo Carvajal, Juan C. Aguero

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

In this paper we address the identification problem of a continuous-time deterministic system. We consider that the continuous-time system can be approximated by using the orthonormal continuous basis function of Laguerre. We assume that only discrete-time measurements are available and we obtain the exact discrete-time model in terms of the continuous-time model parameters of Laguerre basis function, the sample time and the Euler-Fröbenius polynomials. The estimation problem is solved by using the Least Squares method. We illustrate the benefits of our proposal with numerical simulations.

Original language	English
Title of host publication	IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781728131856
DOIs	https://doi.org/10.1109/CHILECON47746.2019.8987645
State	Published - Nov 2019
Externally published	Yes
Event	2019 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019 - Valparaiso, Chile Duration: 13 Nov 2019 → 27 Nov 2019

Publication series

Name	IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019

Conference

Conference	2019 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019
Country/Territory	Chile
City	Valparaiso
Period	13/11/19 → 27/11/19

Keywords

Least Square
System identification
continuous-time model
orthonormal basis function of Laguerre

Access to Document

10.1109/CHILECON47746.2019.8987645

Cite this

Coronel, M., Carvajal, R., & Aguero, J. C. (2019). Identification of Continuous-Time Deterministic System utilizing Orthonormal Basis Functions and Sample Data. In IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019 Article 8987645 (IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CHILECON47746.2019.8987645

Coronel, Maria ; Carvajal, Rodrigo ; Aguero, Juan C. / Identification of Continuous-Time Deterministic System utilizing Orthonormal Basis Functions and Sample Data. IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019. Institute of Electrical and Electronics Engineers Inc., 2019. (IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019).

@inproceedings{645ffb03e4db4e0c931fa5fa067d6296,

title = "Identification of Continuous-Time Deterministic System utilizing Orthonormal Basis Functions and Sample Data",

abstract = "In this paper we address the identification problem of a continuous-time deterministic system. We consider that the continuous-time system can be approximated by using the orthonormal continuous basis function of Laguerre. We assume that only discrete-time measurements are available and we obtain the exact discrete-time model in terms of the continuous-time model parameters of Laguerre basis function, the sample time and the Euler-Fr{\"o}benius polynomials. The estimation problem is solved by using the Least Squares method. We illustrate the benefits of our proposal with numerical simulations.",

keywords = "Least Square, System identification, continuous-time model, orthonormal basis function of Laguerre",

author = "Maria Coronel and Rodrigo Carvajal and Aguero, {Juan C.}",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 2019 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019 ; Conference date: 13-11-2019 Through 27-11-2019",

year = "2019",

month = nov,

doi = "10.1109/CHILECON47746.2019.8987645",

language = "English",

series = "IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019",

}

Coronel, M, Carvajal, R & Aguero, JC 2019, Identification of Continuous-Time Deterministic System utilizing Orthonormal Basis Functions and Sample Data. in IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019., 8987645, IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019, Institute of Electrical and Electronics Engineers Inc., 2019 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019, Valparaiso, Chile, 13/11/19. https://doi.org/10.1109/CHILECON47746.2019.8987645

Identification of Continuous-Time Deterministic System utilizing Orthonormal Basis Functions and Sample Data. / Coronel, Maria; Carvajal, Rodrigo; Aguero, Juan C.
IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019. Institute of Electrical and Electronics Engineers Inc., 2019. 8987645 (IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Identification of Continuous-Time Deterministic System utilizing Orthonormal Basis Functions and Sample Data

AU - Coronel, Maria

AU - Carvajal, Rodrigo

AU - Aguero, Juan C.

PY - 2019/11

Y1 - 2019/11

N2 - In this paper we address the identification problem of a continuous-time deterministic system. We consider that the continuous-time system can be approximated by using the orthonormal continuous basis function of Laguerre. We assume that only discrete-time measurements are available and we obtain the exact discrete-time model in terms of the continuous-time model parameters of Laguerre basis function, the sample time and the Euler-Fröbenius polynomials. The estimation problem is solved by using the Least Squares method. We illustrate the benefits of our proposal with numerical simulations.

AB - In this paper we address the identification problem of a continuous-time deterministic system. We consider that the continuous-time system can be approximated by using the orthonormal continuous basis function of Laguerre. We assume that only discrete-time measurements are available and we obtain the exact discrete-time model in terms of the continuous-time model parameters of Laguerre basis function, the sample time and the Euler-Fröbenius polynomials. The estimation problem is solved by using the Least Squares method. We illustrate the benefits of our proposal with numerical simulations.

KW - Least Square

KW - System identification

KW - continuous-time model

KW - orthonormal basis function of Laguerre

UR - http://www.scopus.com/inward/record.url?scp=85081055229&partnerID=8YFLogxK

U2 - 10.1109/CHILECON47746.2019.8987645

DO - 10.1109/CHILECON47746.2019.8987645

M3 - Conference contribution

AN - SCOPUS:85081055229

T3 - IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019

BT - IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2019 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019

Y2 - 13 November 2019 through 27 November 2019

ER -

Coronel M, Carvajal R, Aguero JC. Identification of Continuous-Time Deterministic System utilizing Orthonormal Basis Functions and Sample Data. In IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019. Institute of Electrical and Electronics Engineers Inc. 2019. 8987645. (IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2019). doi: 10.1109/CHILECON47746.2019.8987645

Identification of Continuous-Time Deterministic System utilizing Orthonormal Basis Functions and Sample Data

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this