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Duality in Robust Control: Controller vs. Uncertainty

Ghulchak, Andrey LU (2001) Conference on Decision and Control In Proceedings of the 40th IEEE Conference on Decision and Control, 2001. 2. p.1113-1118
Abstract
To find a controller that provides the maximal stability margin to an LTI system under rank-one perturbations is a quasiconvex problem. In the paper, the dual quasiconvex problem is obtained, using the convex duality arguments in the Hardy space H∞. It is shown that the dual problem can be viewed as minimization of a "length" of uncertainties that destabilize the system. Several examples establishing a connection with such classical results as the corona theorem and the Adamyan-Arov-Krein theorem are considered
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
uncertain systems, robust control, duality (mathematics), linear systems, minimisation, optimisation
in
Proceedings of the 40th IEEE Conference on Decision and Control, 2001.
volume
2
pages
1113 - 1118
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
Conference on Decision and Control
ISBN
0-7803-7061-9
DOI
10.1109/.2001.981034
language
English
LU publication?
yes
id
f1995ede-2ffa-44a8-9455-bd8e02ebfd36 (old id 537880)
date added to LUP
2007-09-18 09:20:55
date last changed
2016-04-16 07:15:42
@inproceedings{f1995ede-2ffa-44a8-9455-bd8e02ebfd36,
  abstract     = {To find a controller that provides the maximal stability margin to an LTI system under rank-one perturbations is a quasiconvex problem. In the paper, the dual quasiconvex problem is obtained, using the convex duality arguments in the Hardy space H∞. It is shown that the dual problem can be viewed as minimization of a "length" of uncertainties that destabilize the system. Several examples establishing a connection with such classical results as the corona theorem and the Adamyan-Arov-Krein theorem are considered},
  author       = {Ghulchak, Andrey},
  booktitle    = {Proceedings of the 40th IEEE Conference on Decision and Control, 2001.},
  isbn         = {0-7803-7061-9},
  keyword      = {uncertain systems,robust control,duality (mathematics),linear systems,minimisation,optimisation},
  language     = {eng},
  pages        = {1113--1118},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {Duality in Robust Control: Controller vs. Uncertainty},
  url          = {http://dx.doi.org/10.1109/.2001.981034},
  volume       = {2},
  year         = {2001},
}