Guaranteed dominant pole placement with PID controllers
(2009) In Journal of Process Control 19(2). p.349-352- Abstract
- Pole placement is a well-established design method for linear control systems. Note however that with an output feedback controller of low-order such as the PID controller one cannot achieve arbitrary pole placement for a high-order or delay system, and then partially or hopefully, dominant pole placement becomes the only choice. To the best of the authors' knowledge, no method is available in the literature to guarantee dominance of the assigned poles in the above case. This paper proposes two simple and easy methods which can guarantee the dominance of the two assigned poles for PID control systems. They are based on root locus and Nyquist plot respectively. If a solution exists, the parametrization of all the solutions is explicitly... (More)
- Pole placement is a well-established design method for linear control systems. Note however that with an output feedback controller of low-order such as the PID controller one cannot achieve arbitrary pole placement for a high-order or delay system, and then partially or hopefully, dominant pole placement becomes the only choice. To the best of the authors' knowledge, no method is available in the literature to guarantee dominance of the assigned poles in the above case. This paper proposes two simple and easy methods which can guarantee the dominance of the two assigned poles for PID control systems. They are based on root locus and Nyquist plot respectively. If a solution exists, the parametrization of all the solutions is explicitly given. Examples are provided for illustration. (C) 2008 Elsevier Ltd. All rights reserved. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1371084
- author
- Wang, Qing-Guo ; Zhang, Zhiping ; Åström, Karl Johan LU and Chek, Lee See
- organization
- publishing date
- 2009
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Root locus, Nyquist plot, Dominant poles, Pole placement
- in
- Journal of Process Control
- volume
- 19
- issue
- 2
- pages
- 349 - 352
- publisher
- Elsevier
- external identifiers
-
- wos:000263665700015
- scopus:58749094852
- ISSN
- 1873-2771
- DOI
- 10.1016/j.jprocont.2008.04.012
- language
- English
- LU publication?
- yes
- id
- e46d0647-ea22-4a5b-8e95-c0e499d4265a (old id 1371084)
- date added to LUP
- 2016-04-01 12:17:51
- date last changed
- 2022-04-21 05:31:47
@article{e46d0647-ea22-4a5b-8e95-c0e499d4265a,
abstract = {{Pole placement is a well-established design method for linear control systems. Note however that with an output feedback controller of low-order such as the PID controller one cannot achieve arbitrary pole placement for a high-order or delay system, and then partially or hopefully, dominant pole placement becomes the only choice. To the best of the authors' knowledge, no method is available in the literature to guarantee dominance of the assigned poles in the above case. This paper proposes two simple and easy methods which can guarantee the dominance of the two assigned poles for PID control systems. They are based on root locus and Nyquist plot respectively. If a solution exists, the parametrization of all the solutions is explicitly given. Examples are provided for illustration. (C) 2008 Elsevier Ltd. All rights reserved.}},
author = {{Wang, Qing-Guo and Zhang, Zhiping and Åström, Karl Johan and Chek, Lee See}},
issn = {{1873-2771}},
keywords = {{Root locus; Nyquist plot; Dominant poles; Pole placement}},
language = {{eng}},
number = {{2}},
pages = {{349--352}},
publisher = {{Elsevier}},
series = {{Journal of Process Control}},
title = {{Guaranteed dominant pole placement with PID controllers}},
url = {{http://dx.doi.org/10.1016/j.jprocont.2008.04.012}},
doi = {{10.1016/j.jprocont.2008.04.012}},
volume = {{19}},
year = {{2009}},
}