On zeros of pulse transfer functions

The famous /spl Aring/strom-Hagander-Sternby theorem (1984) on limiting zeros of the pulse transfer function is extended by determining the accuracy of the asymptotic results for both the discretization and the intrinsic zeros when the sampling interval is small. Closed form formulas are derived tha...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1999-06, Vol.44 (6), p.1229-1234
Main Author: Blachuta, M.J.
Format: Article
Language:English
Subjects:
Applied sciences
Asymptotic properties
Automatic control
Computer science
control theory
systems
Constraining
Control systems
Control theory. Systems
Discretization
Exact sciences and technology
Exact solutions
Interpolation
Intervals
Mathematical analysis
Missiles
Processor scheduling
Sampling
Shape control
Stability
State feedback
Sufficient conditions
System theory
Transfer functions
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Summary:The famous /spl Aring/strom-Hagander-Sternby theorem (1984) on limiting zeros of the pulse transfer function is extended by determining the accuracy of the asymptotic results for both the discretization and the intrinsic zeros when the sampling interval is small. Closed form formulas 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. Certain known results on asymptotic zeros are shown to be particular cases of the result presented.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.769380