DocumentCode :
1051868
Title :
Comments on "Conditions for stable zeros of sampled systems" by M. Ishitobi
Author :
Hagander, P.
Author_Institution :
Dept. of Autom. Control, Lund Inst. of Technol., Sweden
Volume :
38
Issue :
5
fYear :
1993
fDate :
5/1/1993 12:00:00 AM
Firstpage :
830
Lastpage :
831
Abstract :
The commenter argues that the result of the above-titled work (see ibid., vol.37, no.10, p.1558-1561, Oct. 1992) is incorrect. It is pointed out that when sampling a continuous-time system G(s) using zero-order hold, the zeros of the resulting discrete-time system H(z) become complicated functions of the sampling interval T. The system G(s) has unstable continuous-time zeros, s=0.1+or-i. The zeros of the corresponding sampled system start for small T from a double zero at z=1 as exp(T(0.1+or-i)), i.e., on the unstable side. For T>1.067 . . . the zeros become stable. The criterion function of the above-titled work, F(T)=G*(j omega /sub s//2)=H(-1)T/2, is, however, positive for all T, indicating only stable zeros. The zero-locus crosses the unit circle at complex values.<>
Keywords :
discrete time systems; poles and zeros; stability; continuous-time system; criterion function; discrete-time system; sampled systems; sampling interval; stable zeros; unstable continuous-time zeros; zero-locus; zero-order hold; Feedback; Robust stability; Sampling methods; Sufficient conditions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/9.277257
Filename :
277257
Link To Document :
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