Computation and convergence of frequency response via fast sampling for sampled-data control systems

Yutaka Yamamoto; Anton G. Madievski; Brian D.O. Anderson

Computation and convergence of frequency response via fast sampling for sampled-data control systems

Yutaka Yamamoto^*, Anton G. Madievski, Brian D.O. Anderson

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

11 Citations (Scopus)

Abstract

This paper proves that the frequency responses of fast-sample/fast-hold approximations of a sampled-data system converge to that of the original system as the sampling rate gets faster. While this may appear to hold trivially, there is a serious technical difficulty, and the proof is indeed nontrivial. It is also guaranteed that this convergence is uniform on the total frequency range. A numerical example is given to illustrate the result.

Original language	English
Pages (from-to)	2157-2162
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	3
Publication status	Published - 1997
Externally published	Yes
Event	36th IEEE Conference on Decision and Control, 1997 - San Diego, CA, USA Duration: 10 Dec 1997 → 12 Dec 1997 https://ieeexplore.ieee.org/xpl/conhome/5239/proceeding

Cite this

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title = "Computation and convergence of frequency response via fast sampling for sampled-data control systems",

abstract = "This paper proves that the frequency responses of fast-sample/fast-hold approximations of a sampled-data system converge to that of the original system as the sampling rate gets faster. While this may appear to hold trivially, there is a serious technical difficulty, and the proof is indeed nontrivial. It is also guaranteed that this convergence is uniform on the total frequency range. A numerical example is given to illustrate the result.",

author = "Yutaka Yamamoto and Madievski, \{Anton G.\} and Anderson, \{Brian D.O.\}",

year = "1997",

language = "English",

volume = "3",

pages = "2157--2162",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "36th IEEE Conference on Decision and Control, 1997 ; Conference date: 10-12-1997 Through 12-12-1997",

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TY - JOUR

T1 - Computation and convergence of frequency response via fast sampling for sampled-data control systems

AU - Yamamoto, Yutaka

AU - Madievski, Anton G.

AU - Anderson, Brian D.O.

PY - 1997

Y1 - 1997

N2 - This paper proves that the frequency responses of fast-sample/fast-hold approximations of a sampled-data system converge to that of the original system as the sampling rate gets faster. While this may appear to hold trivially, there is a serious technical difficulty, and the proof is indeed nontrivial. It is also guaranteed that this convergence is uniform on the total frequency range. A numerical example is given to illustrate the result.

AB - This paper proves that the frequency responses of fast-sample/fast-hold approximations of a sampled-data system converge to that of the original system as the sampling rate gets faster. While this may appear to hold trivially, there is a serious technical difficulty, and the proof is indeed nontrivial. It is also guaranteed that this convergence is uniform on the total frequency range. A numerical example is given to illustrate the result.

UR - https://www.scopus.com/pages/publications/0031357117

M3 - Conference article

AN - SCOPUS:0031357117

SN - 0191-2216

VL - 3

SP - 2157

EP - 2162

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - 36th IEEE Conference on Decision and Control, 1997

Y2 - 10 December 1997 through 12 December 1997

ER -

Computation and convergence of frequency response via fast sampling for sampled-data control systems

Abstract

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