A Bias-Corrected Method for Fractional Linear Parameter Varying Systems. (1st April 2022)

• Record Type: Journal Article
• Authors: Yakoub, Zaineb; Naifar, Omar; Amairi, Messaoud; Chetoui, Manel; Aoun, Mohamed; Makhlouf, Abdellatif Ben
• Other Names: Baranowski Jerzy Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2022(2022)
• Publication Date: 2022-04-01
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2022/7278157
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.