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Comparative Study of Zero Effects in Pole-Placement Control System Design Via the Shift and Delta Transforms

Author(s): Milica B. Naumović

Journal: Facta Universitatis Series : Electronics and Energetics
ISSN 0353-3670

Volume: 18;
Issue: 3;
Start page: 439;
Date: 2005;
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Keywords: Discrete-time control | delta operator | delta domain control | pole placement

This paper deals with the special replacement of the shift operator and its associated $z-$ transform by delta operator and $Delta-$ transform, respectively. The aim of the paper is to clarify the role of zeros of discretized linear single input single output continuous-time systems modelled by shift and delta operators. In particular, the effect of zero dynamics on the control system design based on classical pole-zero assignment in the case of both operators is considered. The analysis is illustrated by simulation results.
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