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Robust Control under Parametric Uncertainty via Primal-Dual Convex Analysis

Ghulchak, Andrey LU and Rantzer, Anders LU (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.
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author
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
2007-06-21 14:41:12
date last changed
2017-08-20 04:16:28
@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},
  keyword      = {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          = {http://dx.doi.org/10.1109/9.995040},
  volume       = {47},
  year         = {2002},
}