2020 |
Mayoufi, Abir; Victor, Stéphane; Malti, Rachid; Chetoui, Manel; Aoun, Mohamed vol. 53, 2020, (Cited by: 1; All Open Access, Bronze Open Access, Green Open Access). Résumé | Liens | BibTeX | Étiquettes: Continuous time systems, Continuous-time, Fractional model, Fractional model identification, Instrumental variables, Monte Carlo methods, Multiple input single outputs, Order estimation, Refined instrumental variables, Single input single output @conference{Mayoufi20203701b, This paper proposes an instrumental variable approach for continuous-time system identification using fractional models with multiple input single output context. This work is an extension of the simplified refined instrumental variable approach (srivcf) developed for single input-single output fractional model identification (Malti et al. (2008a); Victor et al. (2013)) to the multiple input-single output case. Monte Carlo simulation analysis is used to demonstrate the performance of the proposed approach. A study is then provided to motivate differentiation order estimation, and more specifically, commensurate order estimation. Copyright © 2020 The Authors. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0) |
Mayoufi, Abir; Victor, Stéphane; Malti, Rachid; Chetoui, Manel; Aoun, Mohamed vol. 53, 2020, (Cited by: 1; All Open Access, Bronze Open Access, Green Open Access). Résumé | Liens | BibTeX | Étiquettes: Continuous time systems, Continuous-time, Fractional model, Fractional model identification, Instrumental variables, Monte Carlo methods, Multiple input single outputs, Order estimation, Refined instrumental variables, Single input single output @conference{Mayoufi20203701, This paper proposes an instrumental variable approach for continuous-time system identification using fractional models with multiple input single output context. This work is an extension of the simplified refined instrumental variable approach (srivcf) developed for single input-single output fractional model identification (Malti et al. (2008a); Victor et al. (2013)) to the multiple input-single output case. Monte Carlo simulation analysis is used to demonstrate the performance of the proposed approach. A study is then provided to motivate differentiation order estimation, and more specifically, commensurate order estimation. Copyright © 2020 The Authors. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0) |
2013 |
Chetoui, Manel; Malti, Rachid; Thomassin, Magalie; Najar, Slaheddine; Aoun, Mohamed; Abdelkrim, Mohamed Naceur; Oustaloup, Alain Fourth-order cumulants based method for continuous-time EIV fractional model identification Conférence 2013, (Cited by: 4). Résumé | Liens | BibTeX | Étiquettes: Continuous time systems, Continuous-time, Continuous-time system identification, Distributional property, Errors, Errors in variables, Fourth-order cumulants, Fractional differentiation, Fractional model identification, Higher order statistics, Identification (control systems), System identification problems @conference{Chetoui2013c, The errors-in-variables (EIV) system identification problem concerns the dynamic systems whose discrete input and output are corrupted by additive noises, that can be white, colored and/or mutually correlated. In this paper, a new estimator based on Higher-Order Statistics (fourth-order cumulants) is proposed for continuous-time system identification with fractional models. Under some assumptions on the distributional properties of the noise and noise-free signals, the fractional fourth-order cumulants based least squares (ffocls) estimator gives consistent results. A numerical example illustrates the performance of the proposed method. © 2013 IEEE. |
Chetoui, Manel; Malti, Rachid; Thomassin, Magalie; Najar, Slaheddine; Aoun, Mohamed; Abdelkrim, Mohamed Naceur; Oustaloup, Alain Fourth-order cumulants based method for continuous-time EIV fractional model identification Conférence 2013, (Cited by: 4). Résumé | Liens | BibTeX | Étiquettes: Continuous time systems, Continuous-time, Continuous-time system identification, Distributional property, Errors, Errors in variables, Fourth-order cumulants, Fractional differentiation, Fractional model identification, Higher order statistics, Identification (control systems), System identification problems @conference{Chetoui2013, The errors-in-variables (EIV) system identification problem concerns the dynamic systems whose discrete input and output are corrupted by additive noises, that can be white, colored and/or mutually correlated. In this paper, a new estimator based on Higher-Order Statistics (fourth-order cumulants) is proposed for continuous-time system identification with fractional models. Under some assumptions on the distributional properties of the noise and noise-free signals, the fractional fourth-order cumulants based least squares (ffocls) estimator gives consistent results. A numerical example illustrates the performance of the proposed method. © 2013 IEEE. |
Publications
2020 |
vol. 53, 2020, (Cited by: 1; All Open Access, Bronze Open Access, Green Open Access). |
vol. 53, 2020, (Cited by: 1; All Open Access, Bronze Open Access, Green Open Access). |
2013 |
Fourth-order cumulants based method for continuous-time EIV fractional model identification Conférence 2013, (Cited by: 4). |
Fourth-order cumulants based method for continuous-time EIV fractional model identification Conférence 2013, (Cited by: 4). |