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Paper details
Number 3 - September 2013
Volume 23 - 2013
Design of unknown input fractional-order observers for fractional-order systems
Ibrahima N’Doye, Mohamed Darouach, Holger Voos, Michel Zasadzinski
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.
Keywords
fractional calculus, fractional-order systems, fractional-order observers, existence condition, linear matrix inequality, unknown input, stability