A new parametrization of linear observers

Ingrid Blumthaler; Jochen Trumpf

doi:10.1109/TAC.2014.2309263

A new parametrization of linear observers

Ingrid Blumthaler, Jochen Trumpf

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

2 Citations (Scopus)

Abstract

The estimation of unknown variables of a system, the plant, based on a set of known or measured variables is a fundamental and widely studied problem of system theory. We investigate observers that solve this task in the behavioral setting. Our framework includes the discrete and the continuous linear time-invariant cases, and various notions of when a signal is considered to be small. We characterize the observers that guarantee a small estimation error as those containing the 'essential part' of the plant behavior. A constructive one-to-one parametrization of all such observers follows naturally from this result.

Original language	English
Article number	6750736
Pages (from-to)	1778-1788
Number of pages	11
Journal	IEEE Transactions on Automatic Control
Volume	59
Issue number	7
DOIs	https://doi.org/10.1109/TAC.2014.2309263
Publication status	Published - Jul 2014

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A new parametrization of linear observers

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