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Sufficient conditions for the attainment of sampled systems without nonminimum-phase zeros

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Abstract

A study on the convenient tuning of fractional-order hold electronic devices for digital control systems is presented. When certain constraints are fulfilled, this study assures in advance the attainment of inverse stable discrete plants. The main result is based on classic numerical analysis techniques and is applicable when the process to be digitally controlled is described as a second order plant or as a first order plant with time delay. In such cases, by using a conveniently tuned fractional-order hold, the discretization nonminimum-phase zeros emerged when using a common zero-order hold are avoided. In this way, the performance of the digitally controlled system may be improved.

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Correspondence to Rafael Bárcena.

Additional information

Recommended by Editorial Board member Ju Hyun Park under the direction of Editor Young Il Lee. This work has been partially supported by the University of the Basque Country through Project UPV05/118 and Basque Government (Project S-PE05UN09).

Rafael Bárcena received his M.S. and Ph.D. degrees in Physics from the University of the Basque Country (UPV/EHU), Spain, in 1994 and 2001, respectively. Since 1998, he has been with the Department of Electronics and Telecommunications of the UPV/EHU, as a Researching Professor. His research interests include control theory, hybrid control and sampled systems.

Ainhoa Etxebarria received her M.S. and Ph.D. degrees in Electronic Engineering from the University of the Basque Country (UPV/EHU), Bilbao, Spain, in 1994 and 2004, respectively. Since 1997, she has been with the Department of Electronics and Telecommunications of the UPV/EHU, as a Researching Professor. Her research interests include remote control of the electronics systems and system identification.

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Bárcena, R., Etxebarria, A. Sufficient conditions for the attainment of sampled systems without nonminimum-phase zeros. Int. J. Control Autom. Syst. 8, 244–249 (2010). https://doi.org/10.1007/s12555-010-0209-5

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  • DOI: https://doi.org/10.1007/s12555-010-0209-5

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