Brief paper: Fixed-order H∞ controller design for nonparametric models by convex optimization

  • Authors:
  • Alireza Karimi;Gorka Galdos

  • Affiliations:
  • Laboratoire d'Automatique, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland;Laboratoire d'Automatique, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2010

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Abstract

A new approach for robust fixed-order H"~ controller design by convex optimization is proposed. Linear time-invariant single-input single-output systems represented by nonparametric models in the frequency domain are considered. It is shown that the H"~ robust performance condition can be represented by a set of linear or convex constraints with respect to the parameters of a linearly parameterized controller in the Nyquist diagram. Systems with time-delay and with multimodel and frequency-domain uncertainty can be considered straightforwardly in the proposed approach. The proposed method is compared with the standard H"~ control problem by a simulation example on an unstable system.