Robust identification of parasitic feedback disturbances for linear lumped parameter systems
Maksimov, Vyacheslav ; Pandolfi, Luciano
International Journal of Applied Mathematics and Computer Science, Tome 11 (2001), p. 835-858 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:207534
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     author = {Maksimov, Vyacheslav and Pandolfi, Luciano},
     title = {Robust identification of parasitic feedback disturbances for linear lumped parameter systems},
     journal = {International Journal of Applied Mathematics and Computer Science},
     volume = {11},
     year = {2001},
     pages = {835-858},
     zbl = {1058.93021},
     language = {en},
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Maksimov, Vyacheslav; Pandolfi, Luciano. Robust identification of parasitic feedback disturbances for linear lumped parameter systems. International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) pp. 835-858. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv11i4p835bwm/

[000] 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).

[001] 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. | Zbl 1018.93016

[002] Kryazhimskii A.V. (1999): Convex optimization via feedbacks. - SIAM J. Contr. Optim., Vol.37, No.1, pp.278-302. | Zbl 0917.90256

[003] 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).

[004] 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.

[005] Maksimov V.I. (1994): Control reconstruction for nonlinear parabolic equations. - IIASA Working Paper WP-94-04, IIASA, Laxenburg, Austria.

[006] 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. | Zbl 0956.49020

[007] Osipov Yu.S. and Kryazhimskii A.V. (1995): Inverse Problems for Ordinary Differential Equations: Dynamical Solutions. - London: Gordon and Breach. | Zbl 0884.34015

[008] Unbehauen H. (1990): Continuous time approaches to system identification. - Automatica, Vol.26, No.6, pp.23-35. | Zbl 0714.93007