# Design of unknown input fractional-order observers for fractional-order systems

Ibrahima N'Doye; Mohamed Darouach; Holger Voos; Michel Zasadzinski

International Journal of Applied Mathematics and Computer Science (2013)

- Volume: 23, Issue: 3, page 491-500
- ISSN: 1641-876X

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topIbrahima N'Doye, et al. "Design of unknown input fractional-order observers for fractional-order systems." International Journal of Applied Mathematics and Computer Science 23.3 (2013): 491-500. <http://eudml.org/doc/262395>.

@article{IbrahimaNDoye2013,

abstract = {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.},

author = {Ibrahima N'Doye, Mohamed Darouach, Holger Voos, Michel Zasadzinski},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {fractional calculus; fractional-order systems; fractional-order observers; existence condition; linear matrix inequality; unknown input; stability},

language = {eng},

number = {3},

pages = {491-500},

title = {Design of unknown input fractional-order observers for fractional-order systems},

url = {http://eudml.org/doc/262395},

volume = {23},

year = {2013},

}

TY - JOUR

AU - Ibrahima N'Doye

AU - Mohamed Darouach

AU - Holger Voos

AU - Michel Zasadzinski

TI - Design of unknown input fractional-order observers for fractional-order systems

JO - International Journal of Applied Mathematics and Computer Science

PY - 2013

VL - 23

IS - 3

SP - 491

EP - 500

AB - 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.

LA - eng

KW - fractional calculus; fractional-order systems; fractional-order observers; existence condition; linear matrix inequality; unknown input; stability

UR - http://eudml.org/doc/262395

ER -

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