Robust Control under Parametric Uncertainty via Primal-Dual Convex Analysis
(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:
https://lup.lub.lu.se/record/161979
- author
- Ghulchak, Andrey LU and Rantzer, Anders LU
- organization
- publishing date
- 2002
- 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}}, }