Design of analog variable fractional order differentiator and integrator

• Published in: Nonlinear dynamics Vol. 69; no. 4; pp. 1577 - 1588
• Main Authors: Charef, Abdelfatah, Idiou, Daoud
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.09.2012; Springer Nature B.V
• Subjects: Approximation; Automotive Engineering; Classical Mechanics; Control; Differentiators; Digital; Dynamical Systems; Engineering; Frequencies; Frequency bands; Integrators; Interpolation; Mathematical analysis; Mechanical Engineering; Original Paper; Poles; Polynomials; Rational functions; Vibration; Fractional order differentiator; Interpolation; Fractional order integrator; Farrow structure; Rational function approximation

This paper deals with the design of analog variable fractional order differentiator s m and integrator s − m , for 0< m <1, for a given frequency band, a subject that has not been yet investigated. The main feature of this analog variable fractional order integrator or differentiator is that i...