A Renewed Look at Zeros of Sampled-Data Systems—From the Lifting Viewpoint
(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
- Yamamoto, Kaoru LU ; Yamamoto, Yutaka and Niculescu, Silviu Iulian
- organization
- publishing date
- 2017-07-01
- 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
- 2022-03-09 07:07:49
@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}},
keywords = {{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}},
doi = {{10.1016/j.ifacol.2017.08.559}},
volume = {{50}},
year = {{2017}},
}