A Bias-Corrected Method for Fractional Linear Parameter Varying Systems

被引:2
|
作者
Yakoub, Zaineb [1 ]
Naifar, Omar [2 ]
Amairi, Messaoud [1 ]
Chetoui, Manel [1 ]
Aoun, Mohamed [1 ]
Ben Makhlouf, Abdellatif [3 ]
机构
[1] Univ Gabes, Natl Engn Sch Gabes, Tunisia Res Lab Modeling Anal & Control Syst MACS, Gabes, Tunisia
[2] Univ Sfax, Natl Sch Engn, Control & Energy Management Lab, Sfax, Tunisia
[3] Jouf Univ, Coll Sci, Dept Math, POB 2014, Sakaka, Saudi Arabia
关键词
ORDER SYSTEMS; IDENTIFICATION; ALGORITHM; POWER;
D O I
10.1155/2022/7278157
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper proposes an identification algorithm for the fractional Linear Parameter Varying (LPV) system considering noisy scheduling and output measurements. A bias correction technique is provided in order to compensate for the bias caused by the least squares algorithm. This approach was created to estimate either coefficients or fractional-order differentiation, and it has been proven to produce unbiased and reliable results. The suggested method's performance is assessed by the identification of two fractional models and was compared with Nelder-Mead Simplex method.
引用
收藏
页数:14
相关论文
共 50 条
  • [1] Bias-corrected confidence intervals for the concentration parameter in a dilution assay
    Wang, JP
    Basu, S
    [J]. BIOMETRICS, 1999, 55 (01) : 111 - 116
  • [2] Forecasting autoregressive time series with bias-corrected parameter estimators
    Kim, JH
    [J]. INTERNATIONAL JOURNAL OF FORECASTING, 2003, 19 (03) : 493 - 502
  • [3] MRBEE: A bias-corrected multivariable Mendelian randomization method
    Lorincz-Comi, Noah
    Yang, Yihe
    Li, Gen
    Zhu, Xiaofeng
    [J]. HUMAN GENETICS AND GENOMICS ADVANCES, 2024, 5 (03):
  • [4] Bias-corrected maximum likelihood estimator of the negative binomial dispersion parameter
    Saha, K
    Paul, S
    [J]. BIOMETRICS, 2005, 61 (01) : 179 - 185
  • [5] Bias-corrected realized variance
    Yeh, Jin-Huei
    Wang, Jying-Nan
    [J]. ECONOMETRIC REVIEWS, 2019, 38 (02) : 170 - 192
  • [6] Bias-corrected statistical inference for partially linear varying coefficient errors-in-variables models with restricted condition
    Feng, Sanying
    Xue, Liugen
    [J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2014, 66 (01) : 121 - 140
  • [7] Bias-corrected statistical inference for partially linear varying coefficient errors-in-variables models with restricted condition
    Sanying Feng
    Liugen Xue
    [J]. Annals of the Institute of Statistical Mathematics, 2014, 66 : 121 - 140
  • [8] Simple Formula for Calculating Bias-corrected AIC in Generalized Linear Models
    Imori, Shinpei
    Yanagihara, Hirokazu
    Wakaki, Hirofumi
    [J]. SCANDINAVIAN JOURNAL OF STATISTICS, 2014, 41 (02) : 535 - 555
  • [9] Bias-Corrected Inference of High-Dimensional Generalized Linear Models
    Tang, Shengfei
    Shi, Yanmei
    Zhang, Qi
    [J]. MATHEMATICS, 2023, 11 (04)
  • [10] A bias-corrected precipitation climatology for China
    Ye, BS
    Yang, DQ
    Ding, YJ
    Han, TD
    Koike, T
    [J]. JOURNAL OF HYDROMETEOROLOGY, 2004, 5 (06) : 1147 - 1160