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PID control design and $H_infty$ loop shaping

Panagopoulos, Hélène LU and Åström, Karl Johan LU (2000) In International Journal of Robust and Nonlinear Control 10(15). p.1249-1261
Abstract
This paper shows that traditional methods for design of PID controllers can be related to robust

H= control. In particular, it shows how the specifications in terms of maximum sensitivity and maximum

complementary sensitivity are related to the weighted H= norm introduced by Glover and McFarlane [5].

The paper also shows how to use the Vinnicombe metric to classify those classes of systems which can be

stabilized by the presented design methods in Åström et al [3] and Panagopoulos et al [4].
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
robustness, specifications, controller design, PID controller design
in
International Journal of Robust and Nonlinear Control
volume
10
issue
15
pages
1249 - 1261
publisher
John Wiley & Sons Inc.
external identifiers
  • scopus:1642421882
ISSN
1099-1239
DOI
10.1002/1099-1239(20001230)10:15<1249::AID-RNC514>3.0.CO;2-7
language
English
LU publication?
yes
id
b012d63a-03b9-41b6-8d42-b28c4d37f62b (old id 162945)
date added to LUP
2016-04-01 11:46:32
date last changed
2022-01-26 18:02:21
@article{b012d63a-03b9-41b6-8d42-b28c4d37f62b,
  abstract     = {{This paper shows that traditional methods for design of PID controllers can be related to robust<br/><br>
H= control. In particular, it shows how the specifications in terms of maximum sensitivity and maximum<br/><br>
complementary sensitivity are related to the weighted H= norm introduced by Glover and McFarlane [5].<br/><br>
The paper also shows how to use the Vinnicombe metric to classify those classes of systems which can be<br/><br>
stabilized by the presented design methods in Åström et al [3] and Panagopoulos et al [4].}},
  author       = {{Panagopoulos, Hélène and Åström, Karl Johan}},
  issn         = {{1099-1239}},
  keywords     = {{robustness; specifications; controller design; PID controller design}},
  language     = {{eng}},
  number       = {{15}},
  pages        = {{1249--1261}},
  publisher    = {{John Wiley & Sons Inc.}},
  series       = {{International Journal of Robust and Nonlinear Control}},
  title        = {{PID control design and $H_infty$ loop shaping}},
  url          = {{http://dx.doi.org/10.1002/1099-1239(20001230)10:15<1249::AID-RNC514>3.0.CO;2-7}},
  doi          = {{10.1002/1099-1239(20001230)10:15<1249::AID-RNC514>3.0.CO;2-7}},
  volume       = {{10}},
  year         = {{2000}},
}