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Robust Control under Parametric Uncertainty via Primal-Dual Convex Analysis

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Author

Summary, in English

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.

Publishing year

2002

Language

English

Pages

632-636

Publication/Series

IEEE Transactions on Automatic Control

Volume

47

Issue

4

Document type

Journal article

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Control Engineering

Keywords

  • robust stabilization
  • parametric uncertainty
  • finite-approximation
  • Convex optimization
  • duality

Status

Published

ISBN/ISSN/Other

  • ISSN: 0018-9286