Sampling zeros of discrete models for fractional order systems

Title: Sampling zeros of discrete models for fractional order systems
Creator: Yucra, Eduardo A.; Yuz, Juan I.; Goodwin, Graham C.
Relation: IEEE Transactions on Automatic Control Vol. 58, Issue 9, p. 2383-2388
Publisher Link: http://dx.doi.org/10.1109/TAC.2013.2254000
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: journal article
Date: 2013
Description: Most real systems evolve in continuous-time and are modeled using differential equations. However, (discrete-time) sampled-data models are necessary to describe the interaction with digital devices. For rational transfer functions, with integer-order derivatives, a well known consequence of the sampling process is the presence of sampling zeros. In this note we extend this result to systems described in terms of fractional-order derivatives. Specifically we define fractional-order Euler-Frobenius polynomials and we use them to characterize the asymptotic sampling zeros for fractional systems as the sampling period tends to zero.
Subject: analog-digital conversion; fractional calculus; modeling
Identifier: http://hdl.handle.net/1959.13/1295358
Identifier: uon:19011
Identifier: ISSN:0018-9286
Language: eng
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