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Duality in Robust Control: Controller vs. Uncertainty

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Author

Summary, in English

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

Publishing year

2001

Language

English

Pages

1113-1118

Publication/Series

Proceedings of the 40th IEEE Conference on Decision and Control, 2001.

Volume

2

Document type

Conference paper

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Control Engineering

Keywords

  • uncertain systems
  • robust control
  • duality (mathematics)
  • linear systems
  • minimisation
  • optimisation

Conference name

Conference on Decision and Control

Conference date

2001-12-04

Conference place

Orlando, United States

Status

Published

ISBN/ISSN/Other

  • ISBN: 0-7803-7061-9