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

• Autorzy: N’Doye I. , Darouach M. , Voos H. , Zasadzinski M.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

PL

ułamkowy rachunek różniczkowy; układ ułamkowego rzędu; liniowa nierówność macierzowa

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2013
• Tom: Vol. 23, no. 3
• Strony: 491--500
• Opis fizyczny: Bibliogr. 45 poz., rys., tab., wykr.

Twórcy

autor

N’Doye I.

• Faculty of Science, Technology and Communication (FSTC), University of Luxembourg, 6, rue Richard Coudenhove-Kalergi, L-1359 Luxembourg

autor

Darouach M.

• Research Center for Automatic Control of Nancy (CRAN UMR, 7039, CNRS), University of Lorraine, IUT de Longwy, 186 rue de Lorraine, 54400 Cosnes et Romain, France

autor

Voos H.

• Faculty of Science, Technology and Communication (FSTC), University of Luxembourg, 6, rue Richard Coudenhove-Kalergi, L-1359 Luxembourg

autor

Zasadzinski M.

• Research Center for Automatic Control of Nancy (CRAN UMR, 7039, CNRS), University of Lorraine, IUT de Longwy, 186 rue de Lorraine, 54400 Cosnes et Romain, France

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