CONTINUOUS-TIME FRACTIONAL ORDER LINEAR SYSTEMS IDENTIFICATION USING CHEBYSHEV WAVELET (23-38)

DOI: 10.31618/ESU.2413-9335.2020.6.77.1002

Дата публикации статьи в журнале: 2020/09/16

Название журнала: Евразийский Союз Ученых — публикация научных статей в ежемесячном научном журнале, Выпуск: 77, Том: 6, Страницы в выпуске: 23-38

Автор: Shuen Wang
, College of Mechanical and Electrical Engineering, Hulunbuir University,

Автор: Ying Wang
, Institute of Electrical Engineering, Yanshan University,

Автор: Yinggan Tang
, Institute of Electrical Engineering, Yanshan University,

Анотация: In this paper, the identification of continuous-time fractional order linear systems (FOLS) is investigated. In order to identify the differentiation or- ders as well as parameters and reduce the computation complexity, a novel identification method based on Chebyshev wavelet is proposed. Firstly, the Chebyshev wavelet operational matrices for fractional integration operator is derived. Then, the FOLS is converted to an algebraic equation by using the the Chebyshev wavelet operational matrices. Finally, the parameters and differentiation orders are estimated by minimizing the error between the output of real system and that of identified systems. Experimental results show the effectiveness of the proposed method.

Ключевые слова: Identification, fractional order system,Chebyshev wavelet,Operational matrices,Optimization ,

Данные для цитирования: Shuen Wang Ying Wang Yinggan Tang. CONTINUOUS-TIME FRACTIONAL ORDER LINEAR SYSTEMS IDENTIFICATION USING CHEBYSHEV WAVELET (23-38) // Евразийский Союз Ученых — публикация научных статей в ежемесячном научном журнале. Физико-математические науки. 2020/09/16; 77(6):23-38. 10.31618/ESU.2413-9335.2020.6.77.1002

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