On observability subspaces

P. A. Fuhrmann; J. Trumpf

doi:10.1080/00207170600631263

On observability subspaces

P. A. Fuhrmann^*, J. Trumpf

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

The paper presents an in depth study of topics in geometric control pertaining to observer theory from a functional point of view. We give characterizations of several classes of subspaces, including observability, almost observability and reconstructibility subspaces. We solve completely the problem of spectral assignability for observer dynamics by generalizing Rosenbrock's pole placement theorem. These results are then applied to observer theory.

Original language	English
Pages (from-to)	1157-1195
Number of pages	39
Journal	International Journal of Control
Volume	79
Issue number	10
DOIs	https://doi.org/10.1080/00207170600631263
Publication status	Published - 1 Oct 2006

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AB - The paper presents an in depth study of topics in geometric control pertaining to observer theory from a functional point of view. We give characterizations of several classes of subspaces, including observability, almost observability and reconstructibility subspaces. We solve completely the problem of spectral assignability for observer dynamics by generalizing Rosenbrock's pole placement theorem. These results are then applied to observer theory.

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On observability subspaces

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