This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of fractional-order observer errors with the fractional order α satisfying 0 < α < 2 are derived in terms of linear matrix inequalities. Two numerical examples are given to demonstrate the applicability of the proposed approach, where the fractional order α belongs to 1 ≤ α < 2 and 0 < α ≤ 1, respectively. A stability analysis of the fractional-order error system is made and it is shown that the fractional-order observers are as stable as their integer order counterpart and guarantee better convergence of the estimation error.
@article{bwmeta1.element.bwnjournal-article-amcv23z3p491bwm,
author = {Ibrahima N'Doye and Mohamed Darouach and Holger Voos and Michel Zasadzinski},
title = {Design of unknown input fractional-order observers for fractional-order systems},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {23},
year = {2013},
pages = {491-500},
zbl = {1279.93027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv23z3p491bwm}
}
Ibrahima N'Doye; Mohamed Darouach; Holger Voos; Michel Zasadzinski. Design of unknown input fractional-order observers for fractional-order systems. International Journal of Applied Mathematics and Computer Science, Tome 23 (2013) pp. 491-500. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv23z3p491bwm/
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