2015 |
Yakoub, Z.; Chetoui, M.; Amairi, M.; Aoun, M. A bias correction method for fractional closed-loop system identification Article de journal Dans: Journal of Process Control, vol. 33, p. 25-36, 2015, ISSN: 09591524, (cited By 21). Résumé | Liens | BibTeX | Étiquettes: Active filters; Algorithms; Continuous time systems; Electromagnetic wave attenuation; Identification (control systems); Intelligent systems; Least squares approximations; Monte Carlo methods; Nonlinear programming; Numerical methods; Optimization; Religious buildings, Bias-correction methods; Bias-eliminated least squares methods; Commensurate-order; Fractional differentiation; Least Square; Least-squares estimator; Non-linear optimization algorithms; State-variable filters, Closed loop systems @article{Yakoub201525, Abstract In this paper, the fractional closed-loop system identification using the indirect approach is presented. A bias correction method is developed to deal with the bias problem in the continuous-time fractional closed-loop system identification. This method is based on the least squares estimator combined with the state variable filter approach. The basic idea is to eliminate the estimation bias by adding a correction term in the least squares estimates. The proposed algorithm is extended, using a nonlinear optimization algorithm, to estimate both coefficients and commensurate-order of the process. Numerical example shows the performances of the fractional order bias eliminated least squares method via Monte Carlo simulations. © 2015 Elsevier Ltd. |
Publications
2015 |
A bias correction method for fractional closed-loop system identification Article de journal Dans: Journal of Process Control, vol. 33, p. 25-36, 2015, ISSN: 09591524, (cited By 21). |