On approximate pulse transfer functions

A systematic approach to a class of approximations to the pulse transfer function of a system consisting of a zero-order hold and a linear continuous-time plant is presented. It is based on the asymptotic result of Astrom, Hagander, and Sternby (1984) on zeros of sampled systems at high sampling rat...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1999-11, Vol.44 (11), p.2062-2067
Main Author: Blachuta, M.J.
Format: Article
Language:English
Subjects:
Approximation
Approximation methods
Asymptotic properties
Control systems
Deltas
Discretization
Process control
Robust control
Sampling
Sampling methods
System identification
Transfer functions
Transformations
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Summary:A systematic approach to a class of approximations to the pulse transfer function of a system consisting of a zero-order hold and a linear continuous-time plant is presented. It is based on the asymptotic result of Astrom, Hagander, and Sternby (1984) on zeros of sampled systems at high sampling rates, and on the bilinear transformation. Since the number of intrinsic parameters does not change in the discretization process, model matching control, robust control, and identification are suggested as possible areas of application. Superiority of the approximations considered over a /spl delta/-operator based truncated approximation is shown. The results are illustrated by an example.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.802916