126documents trouvés
Diffusive realizations for solutions of some operator equations : the one-dimensional
M.LENCZNER, G.MONTSENY, Y.YAKOUBI
UTBM, RAP, LJLL
Revue Scientifique : Mathematics of Computation, Vol.81, N°277, pp.319-344, Janvier 2012 , N° 12172
Lien : http://hal.archives-ouvertes.fr/hal-00693203
Diffusable
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Abstract
In this paper we deal with the derivation of state-realizations of linear operators that are solutions to certain operator linear differential equations in one-dimensional bounded domains. We develop two approaches in the framework of diffusive representations: one with complex diffusive symbols; the other with real diffusive symbols. Then, we illustrate the theories and develop numerical methods for a Lyapunov equation arising from optimal control theory of the heat equation. A practical purpose of this approach is real-time computation on a semi-decentralized architecture with low granularity.
Identification and state realization of non-rational convolutive models by means of diffusive representation
C.CASENAVE, G.MONTSENY
MRS
Revue Scientifique : IET Control Theory & Applications, Vol.5, N°7, pp.934-943, Mai 2011 , N° 10323
Diffusable
125013Identification of dynamic nonlinear thermal transfers for precise correction of bias induced by temperature variations
C.CASENAVE, G.MONTSENY, H.CAMON, F.BLARD
MRS, N2IS
Revue Scientifique : Microsystem Technologies, Vol.17, N°4, pp.645-654, Avril 2011 , N° 10545
Diffusable
124000Controllability of SISO volterra models via diffusive representation
C.CASENAVE, C.PRIEUR, G.MONTSENY
MRS, GIPSA-Lab
Rapport LAAS N°11021, Février 2011, 14p.
Diffusable
123887Electronique pour une référence de tension à base de MEMS
D.LAGRANGE, H.CAMON, G.MONTSENY
2I, N2IS, MRS
Rapport LAAS N°10683, Novembre 2010, 32p.
Non diffusable
123041Introduction to diffusive representation
C.CASENAVE, G.MONTSENY
MRS
Manifestation avec acte : IFAC Symposium on System, Structure and Control (SSSC 2010), Ancone (Italie), 15-17 Septembre 2010, 6p. , N° 10162
Diffusable
122694Identification of dynamic nonlinear thermal transfers for precise correction of bias induced by temperature variations
C.CASENAVE, G.MONTSENY, H.CAMON, F.BLARD
MRS, N2IS
Manifestation avec acte : Symposium on Design, Test, Integration & Packaging of MEMS/MOEMS (DTIP 2010), Séville (Espagne), 5-7 Mai 2010, pp.376-381 , N° 10161
Diffusable
121334Etude préliminaire d'une loi de régulation-poursuite à faible gain pour référence de tension haute précision à base de MEMS
G.MONTSENY, C.CASENAVE, E.MONTSENY, H.CAMON, F.BLARD
MRS, DISCO, N2IS
Rapport de Contrat : Convention : Modélisation et identificationi du comportement de structures MEMS pour l'élaboration d'une loi de commande appliquée à l'électronique basée suur la tension de pull-in., Convention LAAS-LNE (Laboratoire National de méthodologie et d'Essais), Décembre 2009 , N° 09874
Non diffusable
120432Diffusive identification of volterra models by cancellation of the nonlinear term
C.CASENAVE, G.MONTSENY
MRS
Manifestation avec acte : 15th IFAC Symposium on System Identification (SYSID 2009), St Malo (France), 6-8 Juillet 2009, 6p. , N° 09020
Diffusable
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Abstract
We present a new identification method for nonlinear Volterra models of the form H(dt)X=F(u,X)+v with H(dt) a causal convolution operator. It is based first on a suitable parameterization of H(dt) deduced from the so-called diffusive representation, devoted to state representations of integral operators, and second on a suitable operatorial transformation of the problem with the property that the nonlinear term F(u,X) is cancelled, allowing to identify the operator H(dt) alone. Then, the nonlinear term can be identified from standard regression methods. For illustration, we implement this method on a concrete numerical example.
Mots-Clés / Keywords
Volterra model; Nonlinear model; Identification; Pseudo-inverse; Diffusive representation; Cancellation;
A cancellation operator suitable for identification of nonlinear volterra models
C.CASENAVE, G.MONTSENY
MRS
Manifestation avec acte : IFAC Workshop on Control Distributed Parameter Systems (CDPS 09), Toulouse (France), 20-24 Juillet 2009, 2p. , N° 09379
Diffusion restreinte
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Mots-Clés / Keywords
Nonlinear volterra equation; Diffusive representation; Pseudo inverse;