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Dynamic extension without inversion for observers

Vincent Andrieu 1, 2 Jean Bernard Eytard Laurent Praly 3
1 Arbeitsgruppe Funktionalanalysis
Bergische Universität Wuppertal
2 SNLEP
LAGEP - Laboratoire d'automatique et de génie des procédés
Abstract : Dynamic extension is useful in the design of observers for non linear systems. The idea is to immerse the given system dynamic into a bigger one having a structure more appropriate for building an observer. The main drawback of such a procedure is the need for inverting on-line an injective immersion. In this work we suggest a solution to overcome this difficulty based on an extension of the initial state space. One of the two crucial steps of our approach is the problem of continuous completion of a full column-rank matrix into an invertible one.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01111652
Contributor : François Chaplais <>
Submitted on : Friday, January 30, 2015 - 4:56:44 PM
Last modification on : Saturday, June 26, 2021 - 3:43:15 AM

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  • HAL Id : hal-01111652, version 1

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Vincent Andrieu, Jean Bernard Eytard, Laurent Praly. Dynamic extension without inversion for observers. 53rd IEEE Conference on Decision and Control, Dec 2014, Los Angeles, United States. pp.878-883. ⟨hal-01111652⟩

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