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A Renewed Look at Zeros of Sampled-Data Systems—From the Lifting Viewpoint

Yamamoto, Kaoru LU ; Yamamoto, Yutaka and Niculescu, Silviu Iulian (2017) In IFAC-PapersOnLine 50(1). p.3668-3673
Abstract

This paper studies the properties of the zeros of sampled-data systems. Since the basic study by Åström et al. that showed there can exist unstable zeros that have no relevance to the original continuous-time plant, there have been various studies that circumvent this effect by introducing various techniques. The present paper studies zeros of sampled-data systems from the standpoint of lifting. We will show the following: a) such unstable zeros are an artifact induced by the combination of the zero-order hold and the synchronous sampling; b) such zeros disappear when considered in the lifted plant; c) further, such an effect can be bypassed by a multirate technique. We will also review relationships with the existing techniques such as... (More)

This paper studies the properties of the zeros of sampled-data systems. Since the basic study by Åström et al. that showed there can exist unstable zeros that have no relevance to the original continuous-time plant, there have been various studies that circumvent this effect by introducing various techniques. The present paper studies zeros of sampled-data systems from the standpoint of lifting. We will show the following: a) such unstable zeros are an artifact induced by the combination of the zero-order hold and the synchronous sampling; b) such zeros disappear when considered in the lifted plant; c) further, such an effect can be bypassed by a multirate technique. We will also review relationships with the existing techniques such as two-delay control. Analysis of some examples is given.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
multirate systems, Sampled-data systems, two-delay control, zeros
in
IFAC-PapersOnLine
volume
50
issue
1
pages
6 pages
publisher
IFAC Secretariat
external identifiers
  • scopus:85031823169
ISSN
2405-8963
DOI
10.1016/j.ifacol.2017.08.559
language
English
LU publication?
yes
id
79bc6282-6685-4516-a7fd-5d7d8b6a1a75
date added to LUP
2017-10-31 08:10:27
date last changed
2018-01-07 12:24:29
@article{79bc6282-6685-4516-a7fd-5d7d8b6a1a75,
  abstract     = {<p>This paper studies the properties of the zeros of sampled-data systems. Since the basic study by Åström et al. that showed there can exist unstable zeros that have no relevance to the original continuous-time plant, there have been various studies that circumvent this effect by introducing various techniques. The present paper studies zeros of sampled-data systems from the standpoint of lifting. We will show the following: a) such unstable zeros are an artifact induced by the combination of the zero-order hold and the synchronous sampling; b) such zeros disappear when considered in the lifted plant; c) further, such an effect can be bypassed by a multirate technique. We will also review relationships with the existing techniques such as two-delay control. Analysis of some examples is given.</p>},
  author       = {Yamamoto, Kaoru and Yamamoto, Yutaka and Niculescu, Silviu Iulian},
  issn         = {2405-8963},
  keyword      = {multirate systems,Sampled-data systems,two-delay control,zeros},
  language     = {eng},
  month        = {07},
  number       = {1},
  pages        = {3668--3673},
  publisher    = {IFAC Secretariat},
  series       = {IFAC-PapersOnLine},
  title        = {A Renewed Look at Zeros of Sampled-Data Systems—From the Lifting Viewpoint},
  url          = {http://dx.doi.org/10.1016/j.ifacol.2017.08.559},
  volume       = {50},
  year         = {2017},
}