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Minimum dimension of a functional observer with specifiable dynamical properties

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The article considers the construction of a functional observer with a given rate of convergence for the most general case: a vector state functional of a linear dynamical system with a vector output. An upper bound is derived on the minimum dimension of such an observer, which holds for almost all functionals. An algorithm is proposed for constructing an observer that achieves this bound. The algorithm can be used to construct a functional observer for almost all specified spectra (i.e., with the exception of a set of measure zero). The scalar observer method previously developed by the authors and proposed in the present article is based on canonical form Luenberger observability for systems with vector output.

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Authors
  1. S. K. Korovin
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  2. I. S. Medvedev
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  3. V. V. Fomichev
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Additional information

Translated from Nelineinaya Dinamika i Upravlenie, No. 6, pp. 37–64, 2008.

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Korovin, S.K., Medvedev, I.S. & Fomichev, V.V. Minimum dimension of a functional observer with specifiable dynamical properties. Comput Math Model 22, 145–171 (2011). https://doi.org/10.1007/s10598-011-9094-x

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  • DOI: https://doi.org/10.1007/s10598-011-9094-x

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