Robust identification of parasitic feedback disturbances for linear lumped parameter systems

Vyacheslav Maksimov; Luciano Pandolfi

International Journal of Applied Mathematics and Computer Science (2001)

  • Volume: 11, Issue: 4, page 835-858
  • ISSN: 1641-876X

Abstract

top
We study the problem of identification of an input to a linear finite-dimensional system. We assume that the input has a feedback form, which is related to a problem often encountered in fault detection. The method we use is to embed the identification problem in a class of inverse problems of dynamics for controlled systems. Two algorithms for identification of a feedback matrix based on the method of feedback control with a model are constructed. These algorithms are stable with respect to noise-corrupted observations and computational errors.

How to cite

top

Maksimov, Vyacheslav, and Pandolfi, Luciano. "Robust identification of parasitic feedback disturbances for linear lumped parameter systems." International Journal of Applied Mathematics and Computer Science 11.4 (2001): 835-858. <http://eudml.org/doc/207534>.

@article{Maksimov2001,
abstract = {We study the problem of identification of an input to a linear finite-dimensional system. We assume that the input has a feedback form, which is related to a problem often encountered in fault detection. The method we use is to embed the identification problem in a class of inverse problems of dynamics for controlled systems. Two algorithms for identification of a feedback matrix based on the method of feedback control with a model are constructed. These algorithms are stable with respect to noise-corrupted observations and computational errors.},
author = {Maksimov, Vyacheslav, Pandolfi, Luciano},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {feedback control; fault detection; input identification},
language = {eng},
number = {4},
pages = {835-858},
title = {Robust identification of parasitic feedback disturbances for linear lumped parameter systems},
url = {http://eudml.org/doc/207534},
volume = {11},
year = {2001},
}

TY - JOUR
AU - Maksimov, Vyacheslav
AU - Pandolfi, Luciano
TI - Robust identification of parasitic feedback disturbances for linear lumped parameter systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2001
VL - 11
IS - 4
SP - 835
EP - 858
AB - We study the problem of identification of an input to a linear finite-dimensional system. We assume that the input has a feedback form, which is related to a problem often encountered in fault detection. The method we use is to embed the identification problem in a class of inverse problems of dynamics for controlled systems. Two algorithms for identification of a feedback matrix based on the method of feedback control with a model are constructed. These algorithms are stable with respect to noise-corrupted observations and computational errors.
LA - eng
KW - feedback control; fault detection; input identification
UR - http://eudml.org/doc/207534
ER -

References

top
  1. Blizorukova M.S. and Maksimov V.I. (1997): On the reconstruction of an extremal input in a system with hereditary. - Vestnik PGTU. Funct. Diff. Eqns., Vol.4, No.4, pp.51-61 (in Russian). 
  2. Fagnani F. and Pandolfi L. (2000): A singular perturbation approach to an input identification problem. - Rapp. Interno n. 4, Dipartimento di Matematica, Politecnico di Torino. Zbl1018.93016
  3. Kryazhimskii A.V. (1999): Convex optimization via feedbacks. - SIAM J. Contr. Optim., Vol.37, No.1, pp.278-302. Zbl0917.90256
  4. Kryazhimskii A.V. and Osipov Yu.S. (1987): To a regularization of a convex extremal problem within accurately given constraints. An application to an optimal control problem with state constraints. In: Some Methods of Positional and Program Control (A.I. Korotkii and V.I. Maksimiv, Eds.). - Academic Press, Sverdlovsk, pp.34-54 (in Russian). 
  5. Kryazhimskii A.V., Maksimov V.I. and Osipov Yu.S. (1997): Reconstruction of extremal perturbations in parabolic equations. - Comp. Math. Math. Phys., Vol.37, No.3, pp.288-298. 
  6. Maksimov V.I. (1994): Control reconstruction for nonlinear parabolic equations. - IIASA Working Paper WP-94-04, IIASA, Laxenburg, Austria. 
  7. Maksimov V. and Pandolfi L. (1999): Dynamical reconstruction of inputs for contraction semigroup systems: the boundary inputcase. - J. Optim. Theory Applic., Vol.103, No.2, pp.401-420. Zbl0956.49020
  8. Osipov Yu.S. and Kryazhimskii A.V. (1995): Inverse Problems for Ordinary Differential Equations: Dynamical Solutions. - London: Gordon and Breach. Zbl0884.34015
  9. Unbehauen H. (1990): Continuous time approaches to system identification. - Automatica, Vol.26, No.6, pp.23-35. Zbl0714.93007

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.