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An algebraic framework for the design of nonlinear observers with unknown inputs

Jean-Pierre Barbot 1 Michel Fliess 1, 2 Thierry Floquet 1
1 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
Abstract : The observability properties of nonlinear systems with unknown inputs are characterized via differentially algebraic techniques. State variables and unknown inputs are estimated thanks to a new algebraic numerical differentiator. It is shown through an academic example and a concrete case study that the proposed scheme can be applied to systems that fail to fulfill some usual structural assumptions.
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https://hal.inria.fr/inria-00172366
Contributor : Michel Fliess <>
Submitted on : Saturday, September 15, 2007 - 9:51:39 AM
Last modification on : Tuesday, November 24, 2020 - 2:18:21 PM
Long-term archiving on: : Monday, September 24, 2012 - 12:25:56 PM

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  • HAL Id : inria-00172366, version 1

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Jean-Pierre Barbot, Michel Fliess, Thierry Floquet. An algebraic framework for the design of nonlinear observers with unknown inputs. 46th IEEE Conference on Decision and Control, 2007, New Orleans, United States. ⟨inria-00172366⟩

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