On the Laguerre Rational Approximation to Fractional Discrete Derivative and Integral Operators

This note ties the Laguerre continued fraction expansion of the Tustin fractional discrete-time operator to irreducible Jacobi tri-diagonal matrices. The aim is to prove that the Laguerre approximation to the Tustin fractional operator s -ν (or s ν ) is stable and minimum-phase for any value 0

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Veröffentlicht in:	IEEE transactions on automatic control 2013-06, Vol.58 (6), p.1579-1585
1. Verfasser:	Maione, G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation methods Differintegrators Eigenvalues and eigenfunctions Finite wordlength effects fractional-order control fractional-order operators Jacobi matrices Jacobian matrices Laguerre continued fraction Laplace equations Poles and zeros Polynomials Tustin discretization zero-pole interlacing
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Beschreibung
Zusammenfassung:	This note ties the Laguerre continued fraction expansion of the Tustin fractional discrete-time operator to irreducible Jacobi tri-diagonal matrices. The aim is to prove that the Laguerre approximation to the Tustin fractional operator s -ν (or s ν ) is stable and minimum-phase for any value 0
ISSN:	0018-9286 1558-2523
DOI:	10.1109/TAC.2013.2244273