A reflection coefficient approach to robust controller design

  • Authors:
  • Ü. Nurges;E. Rüstern

  • Affiliations:
  • Institute of Cybernetics, Tallinn University of Technology, Tallinn , Estonia;Institute of Cybernetics, Tallinn University of Technology, Tallinn , Estonia

  • Venue:
  • CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
  • Year:
  • 2009

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Abstract

A constructive procedure for robust output controller design is given starting from the unit hypercube of reflection coefficients of monic polynomials. This procedure consists of two main steps: convex approximation of the stability domain by a polytope and robust controller design by quadratic programming approach. A generalization for all stable polytopes is given by the use of a Schur invariant transformation with a free parameter.