Fractional hold circuits versus positive realness of discrete transfer functions
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 functio...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS.2005.373 |
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| Summary: | 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. |
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| ISSN: | 1026-0226 1607-887X |