An algebraic framework for linear identification

Michel Fliess; Hebertt Sira–Ramírez

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 9, page 151-168
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Fliess, Michel, and Sira–Ramírez, Hebertt. "An algebraic framework for linear identification." ESAIM: Control, Optimisation and Calculus of Variations 9 (2010): 151-168. <http://eudml.org/doc/90687>.

@article{Fliess2010,
abstract = { 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. },
author = {Fliess, Michel, Sira–Ramírez, Hebertt},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Linear systems; identifiability; parametric identification; adaptive control; generalised proportional-integral controllers; module theory; differential algebra; operational calculus.; linear systems; parametric identification; generalised proportional-integral controllers; differential algebra; operational calculus},
language = {eng},
month = {3},
pages = {151-168},
publisher = {EDP Sciences},
title = {An algebraic framework for linear identification},
url = {http://eudml.org/doc/90687},
volume = {9},
year = {2010},
}

TY - JOUR
AU - Fliess, Michel
AU - Sira–Ramírez, Hebertt
TI - An algebraic framework for linear identification
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 9
SP - 151
EP - 168
AB - 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.
LA - eng
KW - Linear systems; identifiability; parametric identification; adaptive control; generalised proportional-integral controllers; module theory; differential algebra; operational calculus.; linear systems; parametric identification; generalised proportional-integral controllers; differential algebra; operational calculus
UR - http://eudml.org/doc/90687
ER -

References

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