On zeros of sampled systems

The Astrom-Hagander-Sternby theorem (1984) on asymptotic zeros of the pulse transfer function is extended by determining the accuracy of the asymptotic results for both the sampling and the intrinsic zeros when the sampling interval is small. Closed form formulae are derived that express the degree...

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Bibliographic Details
Main Author: Blachuta, M.J.
Format: Conference Proceeding
Language:English
Subjects:
Approximation algorithms
Automated highways
Function approximation
Poles and zeros
Polynomials
Sampling methods
Stability
Taylor series
Transfer functions
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Summary:The Astrom-Hagander-Sternby theorem (1984) on asymptotic zeros of the pulse transfer function is extended by determining the accuracy of the asymptotic results for both the sampling and the intrinsic zeros when the sampling interval is small. Closed form formulae are derived that express the degree of the principal term of Taylor expansion of the difference between the true zeros and asymptotic ones as a function of the relative degree of the underlying continuous-time system, and the value of the corresponding coefficient itself. The results are illustrated by an example.
ISSN:0743-1619
2378-5861
DOI:10.1109/ACC.1997.612051