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Robust Control pp 202-209 | Cite as

The mixed H2 and H control problem

  • A. A. Stoorvogel
  • H. L. Trentelman
Conference paper
  • 261 Downloads
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 183)

Abstract

This paper is concerned with robust stability in combination with nominal performance. We pose an H norm bound on one transfer matrix to guarantee robust stability. Under this constraint we minimize an upper bound for the H 2 norm of a second transfer matrix. This transfer matrix is chosen so that its H 2 norm is a good measure for performance. We extend earlier work on this problem. The intention is to reduce this problem to a convex optimization problem.

Keywords

The H2 control problem the H control problem robust stability auxiliary cost 

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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • A. A. Stoorvogel
    • 1
  • H. L. Trentelman
    • 2
  1. 1.Dept. of Electrical EngineeringUniversity of MichiganAnn ArborU.S.A.
  2. 2.Mathematics InstituteUniversity of GroningenGroningenThe Netherlands

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