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

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.
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https://hal.archives-ouvertes.fr/hal-00751750
Contributor : Magalie Thomassin <>
Submitted on : Wednesday, November 14, 2012 - 10:51:07 AM
Last modification on : Friday, February 16, 2018 - 7:10:02 PM

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

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