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Dynamic extension without inversion for observers

Authors: Vincent Andrieu, Jean-Bernard Eytard, Laurent Praly, 53rd IEEE Conference on Decision and Control (CDC 2014), pp. 878-883, December 15-17, 2014, Los Angeles
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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BibTeX:
@Proceedings{2015-01-19,
author = {Vincent Andrieu, Jean-Bernard Eytard, Laurent Praly},
editor = {},
title = {Dynamic extension without inversion for observers},
booktitle = {53rd IEEE Conference on Decision and Control},
volume = {},
publisher = {},
address = {Los Angeles},
pages = {878-883},
year = {2014},
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.},
keywords = {}}