Minimal realizations for some classes of fractional order transfer functions

Please enable javascript in your browser.

This page was sent successfuly

Bookmark

$Minimal realizations for some classes of fractional order transfer functions$

736 viewed

Tavazoei, M. S

736 Viewed

Type of Document: Article
DOI: 10.1109/JETCAS.2013.2265798
Publisher: 2013
Abstract:
It has been known that finding a minimal pseudo state space realization for a fractional order transfer function is helpful in circuitry implementation of such a transfer function with the minimum number of fractional capacitors. Considering this importance, the present paper deals with finding minimal realizations for some classes of fractional order transfer functions. To this end, at first some upper bounds are obtained for the minimal inner dimension of a fractional order transfer function. By considering these upper bounds and also the lower bounds, previously presented in literature, the minimal inner dimension is exactly found for some classes of fractional order transfer functions. Moreover, the minimal realizations for these classes are also suggested
Keywords:
Fractional order system ; Minimal realization ; Pseudo state space realization ; Circuitry implementation ; Fractional order transfer function ; Fractional-order systems ; Lower bounds ; Minimal realizations ; Pseudo state ; Upper Bound ; Electrical engineering ; Electronics engineering ; Transfer functions
Source: IEEE Journal on Emerging and Selected Topics in Circuits and Systems ; Volume 3, Issue 3 , 2013 , Pages 313-321 ; 21563357 (ISSN)
URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6532346