We propose a new observer where the model, decomposed in generalized canonical form of regulation described by Fliess, is dissociated from the part assuring error correction. The obtained stable exact estimates give direct access to state variables in the form of successive derivatives. The dynamic response of the observer converges exponentially, as long as the nonlinearities are locally of Lipschitz type. In this case, we demonstrate that a quadratic Lyapunov function provides a number of inequalities which guarantee at least local stability. A synthesis of gains is proposed, independent of the observation time scale. Simulations of a Düffing system and a Lorenz strange attractor illustrate theoretical developments.
@article{bwmeta1.element.bwnjournal-article-amcv26i3p569bwm,
author = {Beno\^\i t Schwaller and Denis Ensminger and Birgitta Dresp-Langley and Jos\'e Ragot},
title = {State estimation for miso non-linear systems in controller canonical form},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {26},
year = {2016},
pages = {569-583},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv26i3p569bwm}
}
Benoît Schwaller; Denis Ensminger; Birgitta Dresp-Langley; José Ragot. State estimation for miso non-linear systems in controller canonical form. International Journal of Applied Mathematics and Computer Science, Tome 26 (2016) pp. 569-583. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv26i3p569bwm/
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