Brief paper: On the stability of a reduced-order filter based on dominant singular value decomposition of the system dynamics

  • Authors:
  • H. S. Hoang;R. Baraille;O. Talagrand

  • Affiliations:
  • SHOM/LEGOS, 18 Avenue Edouard Belin, 31041 Toulouse Cédex, France;SHOM/LEGOS, 18 Avenue Edouard Belin, 31041 Toulouse Cédex, France;LMD/ENS, 24 rue Lhomond 75231 Paris Cédex 05, France

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2009

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Abstract

The stability of a reduced-order filter (ROF), the gain of which is constructed on the basis of a subspace of dominant singular vectors of the system dynamics, is examined. A definition of s-detectability is introduced. It is found that the observability of all unstable and neutral singular vectors (s-detectability) is a sufficient condition for the existence of a stable filter.