Title :
On zeros of sampled systems
Author :
Blachuta, Marian J.
Author_Institution :
Dept. of Autom. Control, Silesian Tech. Univ., Gliwice, Poland
Abstract :
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
Keywords :
continuous time systems; poles and zeros; sampled data systems; stability; transfer functions; Astrom-Hagander-Sternby theorem; Taylor expansion; asymptotic zeros; closed form formulae; intrinsic zeros; pulse transfer function; relative degree; sampled systems; sampling interval; underlying continuous-time system; Approximation algorithms; Automated highways; Function approximation; Poles and zeros; Polynomials; Sampling methods; Stability; Taylor series; Transfer functions;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.612051
