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Avtometriya

2015 year, number 5

ESTIMATION OF DIRECTLY UNMEASURABLE EXTERNAL PERTURBATIONS USING FUNCTIONAL OBSERVERS

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

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.