On input design in l∞ conditional set membership identification

  • Authors:
  • Marco Casini;Andrea Garulli;Antonio Vicino

  • Affiliations:
  • Dipartimento di Ingegneria dell'Informazione, Universití di Siena, Via Roma 56, 53100 Siena, Italy;Dipartimento di Ingegneria dell'Informazione, Universití di Siena, Via Roma 56, 53100 Siena, Italy;Dipartimento di Ingegneria dell'Informazione, Universití di Siena, Via Roma 56, 53100 Siena, Italy

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2006

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Abstract

This paper deals with input design in conditional set membership identification. The problem is how to choose the input signal in order to minimize the global worst-case identification error. A characterization of the @?"~ identification error is provided, showing that the optimal input is the one that minimizes the @?"~ radius of a suitable set. Moreover, sufficient conditions under which the impulse input is optimal are provided.