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Subspace method for continuous-time fractional system identification

Abstract : The aim of this paper is to develop a subspace method for state-space identification of continuous-time systems using fractional commensurate models. As compared to the classical state-space representation, the commensurate differentiation order must be estimated besides the state-space matrices. The latter are estimated with conventional subspace-based techniques using QR and singular value decompositions, whereas the commensurate order is estimated using nonlinear programming. This is the first method developed for multi-input multi-output system identification of fractional models. The performances are demonstrated by simulations at various signal-to-noise ratios assuming a known then an unknown commensurate order.
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Contributor : Magalie Thomassin <>
Submitted on : Wednesday, May 13, 2009 - 3:52:56 PM
Last modification on : Tuesday, March 31, 2020 - 2:12:13 PM
Document(s) archivé(s) le : Thursday, June 10, 2010 - 7:49:29 PM


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  • HAL Id : hal-00383811, version 1


Magalie Thomassin, Rachid Malti. Subspace method for continuous-time fractional system identification. 15th IFAC Symposium on System Identification, SYSID 2009, Jul 2009, Saint Malo, France. pp.TuA3.6. ⟨hal-00383811⟩



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