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Fractional hold circuits versus positive realness of discrete transfer functions

M. de la Sen and A. Bilbao-Guillerna

Discrete Dynamics in Nature and Society, 2005, vol. 2005, 1-6

Abstract:

The appropriate use of fractional-order holds ( β -FROH) of correcting gains β ∈ [ − 1 , 1 ] as an alternative to the classical zero-and first-order holds (ZOHs, FOHs) is discussed related to the positive realness of the associate discrete transfer functions obtained from a given continuous transfer function. It is proved that the minimum direct input/output gain (i.e., the quotient of the leading coefficients of the numerator and denominator of the transfer function) needed for discrete positive realness may be reduced by the choice of β compared to that required for discretization via ZOH.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:325054

DOI: 10.1155/DDNS.2005.373

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