Least-Squares Design of Digital Fractional-Order Operators

• Type: Article in International Conference Proceedings Book
• Date: 2004

Authors

Ramiro Barbosa (Author) FEUP; José A. Tenreiro Machado (Author) FEUP; Isabel Ferreira (Author) FEUP

Conference proceedings International

Title: Proceedings of the FDA'04 - First IFAC Workshop on Fractional Differentiation and its Applications

Pages: 434-439

First IFAC Workshop on Fractional Differentiation and its Applications

Bordeaux, France, 19 a 21 de Julho de 2004

Scientific classification

FOS: Engineering and technology > Other engineering and technologies

CORDIS: Technological sciences

Other information

Abstract (EN): In this paper we develop a method for obtaining digital rational approximations to fractional-order operators of type s J , where J � ƒ. The proposed method is based on the least-squares (LS) minimization between the impulse response of the fractional Euler/Tustin operators and the digital rational-fraction approximation. We make a comparison with other approaches and the results reveal that the LS method gives superior approximations. The effectiveness of the method is demonstrated both in the time and frequency domains through an illustrative example. Copyright © 2004 IFAC

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6