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 |
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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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| _version_ | 1832561100771557376 |
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| author | M. de la Sen A. Bilbao-Guillerna |
| author_facet | M. de la Sen A. Bilbao-Guillerna |
| author_sort | M. de la Sen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8d4e5dcf71044c91a938c03cddc24427 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8d4e5dcf71044c91a938c03cddc244272025-02-03T01:25:58ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2005-01-012005337337810.1155/DDNS.2005.373Fractional hold circuits versus positive realness of discrete transfer functionsM. de la Sen0A. Bilbao-Guillerna1Instituto de Investigación y Desarrollo de Procesos, Facultad de Ciencias, Universidad del País Vasco Leioa (Bizkaia), Apartado 644 de Bilbao, Bilbao 48080, SpainInstituto de Investigación y Desarrollo de Procesos, Facultad de Ciencias, Universidad del País Vasco Leioa (Bizkaia), Apartado 644 de Bilbao, Bilbao 48080, SpainThe 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.http://dx.doi.org/10.1155/DDNS.2005.373 |
| spellingShingle | M. de la Sen A. Bilbao-Guillerna Fractional hold circuits versus positive realness of discrete transfer functions Discrete Dynamics in Nature and Society |
| title | Fractional hold circuits versus positive
realness of discrete transfer functions |
| title_full | Fractional hold circuits versus positive
realness of discrete transfer functions |
| title_fullStr | Fractional hold circuits versus positive
realness of discrete transfer functions |
| title_full_unstemmed | Fractional hold circuits versus positive
realness of discrete transfer functions |
| title_short | Fractional hold circuits versus positive
realness of discrete transfer functions |
| title_sort | fractional hold circuits versus positive realness of discrete transfer functions |
| url | http://dx.doi.org/10.1155/DDNS.2005.373 |
| work_keys_str_mv | AT mdelasen fractionalholdcircuitsversuspositiverealnessofdiscretetransferfunctions AT abilbaoguillerna fractionalholdcircuitsversuspositiverealnessofdiscretetransferfunctions |