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

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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.
Rocznik
Strony
491--500
Opis fizyczny
Bibliogr. 45 poz., rys., tab., wykr.
Twórcy
autor
  • Faculty of Science, Technology and Communication (FSTC), University of Luxembourg, 6, rue Richard Coudenhove-Kalergi, L-1359 Luxembourg
autor
  • 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
  • Faculty of Science, Technology and Communication (FSTC), University of Luxembourg, 6, rue Richard Coudenhove-Kalergi, L-1359 Luxembourg
  • 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
Bibliografia
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  • [6] Chen, Y., Ahn, H. and Podlubny, I. (2006). Robust stability check of fractional order linear time invariant systems with interval uncertainties, Signal Processing 86(10): 2611–2618.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-77b618ad-7765-4b01-b705-5c03be7ca1a4
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