Approximation of the Feasible Parameter Set in worst-case identification of Hammerstein models

  • Authors:
  • P. Falugi;L. Giarré;G. Zappa

  • Affiliations:
  • Dipartimento di Sistemi e Informatica, Universití di Firenze, via di Santa Marta, 50139 Firenze, Italy;Dipartimento di Ingegneria dell'Automazione e dei Sistemi, Viale delle Scienze, 90128, Palermo, Italy;Dipartimento di Sistemi e Informatica, Universití di Firenze, via di Santa Marta, 50139 Firenze, Italy

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2005

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Abstract

The estimation of the Feasible Parameter Set (FPS) for Hammerstein models in a worst-case setting is considered. A bounding procedure is determined both for polytopic and ellipsoidic uncertainties. It consists in the projection of the FPS of the extended parameter vector onto suitable subspaces and in the solution of convex optimization problems which provide Uncertainties Intervals of the model parameters. The bounds obtained are tighter than in the previous approaches. hes.