Differentiation similarities in fractional pseudo-state space representations and subspace-based methods

Rachid Malti 1 Magalie Thomassin 2
2 IRIS, SBS
CRAN - Centre de Recherche en Automatique de Nancy
Abstract : The paper starts by presenting a new concept of differentiation similarity trans- formations for commensurate pseudo-states-space representations. It is proven that a pseudo- state-space representation with a commensurate differentiation order ν and a dimension of the transition matrix n can be similar to a pseudo-state-space representation with a commensurate order ν/k and a dimension of the transition matrix kn, where k is an integral number. A direct consequence of the aforementioned concept in fractional subspace-based identification methods for MIMO systems is that an overestimated pseudo-state-space representation has multiple minimums at commensurate differentiation orders over the integral number k. This result is especially visible when deterministic input/output signals are considered and less visible in the stochastic case due to overestimation.
Type de document :
Communication dans un congrès
Michel Kinnaert. 16th IFAC Symposium on System Identification, SYSID'2012, Jul 2012, Bruxelles, Belgium. IFAC, pp.1641-1646, 2012, 〈10.3182/20120711-3-BE-2027.00321〉
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https://hal.archives-ouvertes.fr/hal-00751750
Contributeur : Magalie Thomassin <>
Soumis le : mercredi 14 novembre 2012 - 10:51:07
Dernière modification le : vendredi 16 février 2018 - 19:10:02

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Rachid Malti, Magalie Thomassin. Differentiation similarities in fractional pseudo-state space representations and subspace-based methods. Michel Kinnaert. 16th IFAC Symposium on System Identification, SYSID'2012, Jul 2012, Bruxelles, Belgium. IFAC, pp.1641-1646, 2012, 〈10.3182/20120711-3-BE-2027.00321〉. 〈hal-00751750〉

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