Duality in Robust Control: Controller vs. Uncertainty
(2001) Conference on Decision and Control 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
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/537880
- author
- Ghulchak, Andrey LU
- organization
- publishing date
- 2001
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- uncertain systems, robust control, duality (mathematics), linear systems, minimisation, optimisation
- host publication
- 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
- conference location
- Orlando, United States
- conference dates
- 2001-12-04
- 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
- 2016-04-04 09:57:03
- date last changed
- 2018-11-21 20:55:49
@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}}, keywords = {{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 = {{https://lup.lub.lu.se/search/files/5424358/625717.pdf}}, doi = {{10.1109/.2001.981034}}, volume = {{2}}, year = {{2001}}, }