Geodesic
An algebraic framework for linear identification
Fliess, Michel  ; Sira-Ramírez, Hebertt1
1 Departamento Ingeniería Electrica, CINVESTAV-IPN, Av. IPN 2508, Col. San Pedro Zacatenco, A.P. 14740, México DF, Mexique
ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 151-168

Voir la notice de l'article provenant de la source Numdam

A closed loop parametrical identification procedure for continuous-time constant linear systems is introduced. This approach which exhibits good robustness properties with respect to a large variety of additive perturbations is based on the following mathematical tools: (1) module theory; (2) differential algebra; (3) operational calculus. Several concrete case-studies with computer simulations demonstrate the efficiency of our on-line identification scheme.

DOI : 10.1051/cocv:2003008
Classification : 93B30, 93B35, 93C05, 93C73, 93C95, 12H05, 13C05, 44A40
Keywords: linear systems, identifiability, parametric identification, adaptive control, generalised proportional-integral controllers, module theory, differential algebra, operational calculus

Fliess, Michel  ; Sira-Ramírez, Hebertt 1

1 Departamento Ingeniería Electrica, CINVESTAV-IPN, Av. IPN 2508, Col. San Pedro Zacatenco, A.P. 14740, México DF, Mexique 
@article{COCV_2003__9__151_0,
     author = {Fliess, Michel and Sira-Ram{\'\i}rez, Hebertt},
     title = {An algebraic framework for linear identification},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {151--168},
     publisher = {EDP-Sciences},
     volume = {9},
     year = {2003},
     doi = {10.1051/cocv:2003008},
     zbl = {1063.93014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2003008/}
}
TY  - JOUR
AU  - Fliess, Michel
AU  - Sira-Ramírez, Hebertt
TI  - An algebraic framework for linear identification
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2003
SP  - 151
EP  - 168
VL  - 9
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2003008/
DO  - 10.1051/cocv:2003008
LA  - en
ID  - COCV_2003__9__151_0
ER  - 
%0 Journal Article
%A Fliess, Michel
%A Sira-Ramírez, Hebertt
%T An algebraic framework for linear identification
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2003
%P 151-168
%V 9
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2003008/
%R 10.1051/cocv:2003008
%G en
%F COCV_2003__9__151_0
Fliess, Michel; Sira-Ramírez, Hebertt. An algebraic framework for linear identification. ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 151-168. doi: 10.1051/cocv:2003008

Cité par Sources :