Brief paper: Nonsmooth optimization for multiband frequency domain control design

  • Authors:
  • Pierre Apkarian;Dominikus Noll

  • Affiliations:
  • ONERA-CERT, Centre d'études et de recherche de Toulouse, Control System Department, 2 av. Edouard Belin, 31055 Toulouse, France and Université Paul Sabatier, Institut de Mathématiqu ...;Université Paul Sabatier, Institut de Mathématiques, 118, route de Narbonne, 31062 Toulouse, France

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2007

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Abstract

Multiband frequency domain synthesis consists in the minimization of a finite family of closed-loop transfer functions on prescribed frequency intervals. This is an algorithmically difficult problem due to its inherent nonsmoothness and nonconvexity. We extend our previous work on nonsmooth H"~ synthesis to develop a nonsmooth optimization technique to compute local solutions to multiband synthesis problems. The proposed method is shown to perform well on illustrative examples.