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.
N1 - Funding Information:
El trabajo de M. Coronel fue patrocinado por el programa CONICYT-PFCHA/ Doctorado Nacional/2017- 21170804, Chile y financiado por el Programa de Incentivos a la Iniciacion Cient?fica (PIIC) de la Direccion de Postgrado y Programas de la Universidad Tecnica Federico Santa Mar?a No. 004/2019. El trabajo de R. Carvajal y J. C. Aguero fue parcialmente financiado por FONDECYT, Chile a traves del proyecto No. 1181158. Este trabajo fue parcialmente financiado por el Centro Avanzado de Ingenier?a Electrica y Electronica (AC3E, Proyecto Basal FB0008), Chile.
Publisher Copyright:
© 2019 IEEE.
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 - continuous-time model
KW - Least Square
KW - orthonormal basis function of Laguerre
KW - System identification
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.
Y2 - 13 November 2019 through 27 November 2019
ER -