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Robust Control under Parametric Uncertainty via Primal-Dual Convex Analysis

Ghulchak, Andrey LU and Rantzer, Anders LU orcid (2002) In IEEE Transactions on Automatic Control 47(4). p.632-636
Abstract
A numerical synthesis method for optimally robust control isproposed. The method applies to the case of linear dependenceon uncertain parameters in the characteristic polynomial. Aprimal/dual pair of infinite-dimensional convex problems is solvedby successive finite-dimensional approximations. The primal/dualpair has no duality gap, and both upper and lower bounds produced by theapproximations converge monotonically to the optimal value.
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
robust stabilization, parametric uncertainty, finite-approximation, Convex optimization, duality
in
IEEE Transactions on Automatic Control
volume
47
issue
4
pages
632 - 636
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000174921900007
  • scopus:0036531227
ISSN
0018-9286
DOI
10.1109/9.995040
language
English
LU publication?
yes
id
74bd27d5-4eb0-4895-a616-be53fcf39a7a (old id 161979)
date added to LUP
2016-04-01 15:29:40
date last changed
2023-11-13 19:31:24
@article{74bd27d5-4eb0-4895-a616-be53fcf39a7a,
  abstract     = {{A numerical synthesis method for optimally robust control isproposed. The method applies to the case of linear dependenceon uncertain parameters in the characteristic polynomial. Aprimal/dual pair of infinite-dimensional convex problems is solvedby successive finite-dimensional approximations. The primal/dualpair has no duality gap, and both upper and lower bounds produced by theapproximations converge monotonically to the optimal value.}},
  author       = {{Ghulchak, Andrey and Rantzer, Anders}},
  issn         = {{0018-9286}},
  keywords     = {{robust stabilization; parametric
uncertainty; finite-approximation; Convex optimization; duality}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{632--636}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Automatic Control}},
  title        = {{Robust Control under Parametric Uncertainty via Primal-Dual Convex Analysis}},
  url          = {{https://lup.lub.lu.se/search/files/4405127/625669.pdf}},
  doi          = {{10.1109/9.995040}},
  volume       = {{47}},
  year         = {{2002}},
}