New developments for matrix fraction descriptions: A fully-parametrised approach

• Jérémy Vayssettes ^[1] ; Guillaume Mercèreb ^[2] ; Olivier Prot ^[3]
  1. [1] Institut Supérieur de l’Aéronautique et de l’Espace,France
  2. [2] University of Poitiers,France
  3. [3] University of Limoges,France

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• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 66, 2016, págs. 15-24
• Idioma: inglés
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• Resumen

  • This article aims at giving a new answer for the challenging problem of the parametrisation of multi-input multi-output matrix fraction descriptions. In order to reach this goal, new parametrisations of matrix fraction descriptions, called fully-parametrised left matrix fraction descriptions (F-LMFD), are first introduced. Their structural properties as well as their suitability for multi-input multi-output model description are more precisely analysed. As any over-parametrised model description, the F-LMFD cannot describe a transfer function uniquely. The structure of the space of equivalent F-LMFD is then investigated through the determination of its basis. The study carried out in this article is the prelude to a computational improvement of the identification of matrix fraction descriptions with gradient-based optimisation methods.