<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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 &lt; α &lt; 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&lt;2 and 0&lt;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.</p></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.

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

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

International Journal of Applied Mathematics and Computer Science

{"article-title":"Design of unknown input fractional-order observers for fractional-order systems"}

This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for...

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

Published Online: Sep 30, 2013

Page range: 491 - 500

DOI: https://doi.org/10.2478/amcs-2013-0037

This content is open access.