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

Ibrahima N'Doye;  Mohamed Darouach;  Holger Voos;  Michel Zasadzinski — 2013

International Journal of Applied Mathematics and Computer Science

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...

Positive unknown inputs functional observers new design for positive linear systems

Montassar Ezzine;  Mohamed Darouach;  Harouna Souley Ali;  Hassani Messaoud — 2023

Kybernetika

This paper deals with the problem of designing positive functional observers for positive linear systems subject to unknown inputs. The order of the designed observer is equal to the dimension of the functional to be estimated. The designed functional observer is always nonnegative at any time and converges asymptotically to the real functional state vector. In fact, we propose a new positive reduced order observer for positive linear systems affected by unknown inputs. The proposed procedure is...

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