Structural Properties of the Unobservable Subspace

Journal ar
Mathematical Problems in Engineering
  • Volumen: 2015
  • Fecha: 01 January 2015
  • ISSN: 15635147 1024123X
  • Source Type: Journal
  • DOI: 10.1155/2015/974654
  • Document Type: Article
  • Publisher: Hindawi Publishing Corporation410 Park Avenue, 15th Floor, 287 pmbNew YorkNY 10022
© 2015 Juan Ignacio Mulero Martínez and Alfonso Baños.The structural properties of the unobservable subspace are explored. In particular the canonical decomposition of the unobservable subspace as a direct sum of cyclic subspaces as well as the conditions for this subspace to be spectral for the system matrix is studied. These properties are applied to simple input-simple output (SISO) feedback systems by connecting the spectral decomposition of the unobservable subspace to the total cancellation of unobservable modes in the compensator with multiple transmission zeros in the plant.

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