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Avtometriya

2015 year, number 5

ESTIMATION OF DIRECTLY UNMEASURABLE EXTERNAL PERTURBATIONS USING FUNCTIONAL OBSERVERS

a:2:{s:4:"TYPE";s:4:"HTML";s:4:"TEXT";s:53:"A. Z. Asanov1, D. N. Dem’yanov2";}
1Moscow State University of Information Technologies, pr. Vernadskogo 78, Moscow, 119454 Russia
2Kazan (Volga Region) Federal University, ul. Kremlevskaya 18, Kazan, 420008 Russia
Keywords: внешние возмущения, оценивание, функциональный наблюдатель, алгоритм синтеза, канонизация матриц, external perturbations, estimation, functional observer, synthesis algorithm, matrix canonization
Subsection: AUTOMATION SYSTEMS IN SCIENTIFIC RESEARCH AND INDUSTRY

Abstract

It is shown that the problem of estimating unmeasurable external perturbations from a mathematical point of view is equivalent to estimating some of the state variables of an extended plant. An algorithm for estimating unmeasurable external perturbations using a functional observer is proposed, and conditions for the solvability of the synthesis problem are formulated. The resulting solution is obtained using the method of matrix canonization.