Robust identification of parasitic feedback disturbances for linear lumped parameter systems

• Autorzy: Vyacheslav Maksimov , Luciano Pandolfi
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

feedback control; fault detection; input identification

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: 11
• Numer: 4
• Strony: 835-858

Daty

wydano

2001

otrzymano

2001-06-01

poprawiono

2001-09-01

Twórcy

autor

Vyacheslav Maksimov

• Institute of Mathematics and Mechanics, Ural Branch, Academy of Sciences of Russia, S. Kovalevskaya Str. 16, 620219, Ekaterinburg, Russia

autor

Luciano Pandolfi

• Politecnico di Torino, Dipartimento di Matematica, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy

Bibliografia

• 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).
• 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.
• Kryazhimskii A.V. (1999): Convex optimization via feedbacks. - SIAM J. Contr. Optim., Vol.37, No.1, pp.278-302.
• 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).
• 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.
• Maksimov V.I. (1994): Control reconstruction for nonlinear parabolic equations. - IIASA Working Paper WP-94-04, IIASA, Laxenburg, Austria.
• 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.
• Osipov Yu.S. and Kryazhimskii A.V. (1995): Inverse Problems for Ordinary Differential Equations: Dynamical Solutions. - London: Gordon and Breach.
• Unbehauen H. (1990): Continuous time approaches to system identification. - Automatica, Vol.26, No.6, pp.23-35.