Practical observability and observers for nonlinear systems subject to bounded disturbances

This paper investigates the problem of observability and state reconstruction for nonlinear systems subject to unknown disturbances. We propose definitions of practical observability in this context and two kinds of practical observers. Under certain assumptions, we use the Lyapunov stability analysis method to show how to build an observer so that the estimation error converges in a "practical" sense.

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Publication Details

Published
2025-06-24
DOI
https://doi.org/10.23919/ecc65951.2025.11186984
Primary Topic
Adaptive Control of Nonlinear Systems
Type
article
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article

Practical observability and observers for nonlinear systems subject to bounded disturbances

Denis Efimov, Rosane Ushirobira, Jérôme Harmand, Alain Rapaport et al.
Adaptive Control of Nonlinear Systems
article

Practical observability and observers for nonlinear systems subject to bounded disturbances

Denis Efimov, Rosane Ushirobira, Jérôme Harmand, Alain Rapaport, M.G. Dadjo
article en

Abstract

This paper investigates the problem of observability and state reconstruction for nonlinear systems subject to unknown disturbances. We propose definitions of practical observability in this context and two kinds of practical observers. Under certain assumptions, we use the Lyapunov stability analysis method to show how to build an observer so that the estimation error converges in a "practical" sense.

Centre National de la Recherche Scientifique (FR), Université de Montpellier (FR), Université de Lille (FR), Institut National de Recherche pour l'Agriculture, l'Alimentation et l'Environnement (FR), Laboratoire de Biotechnologie de l'Environnement (FR), Mathématiques, Informatique et Statistique pour l'Environnement et l'Agronomie (FR), Institut Agro Montpelier (FR), L'Institut Agro (FR)
Openalex Percentile: Top 63%
Adaptive Control of Nonlinear Systems
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Practical observability and observers for nonlinear systems subject to bounded disturbances — Denis Efimov, Rosane Ushirobira, et al. · (2025) | TGRS Research Map | TGRS