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Avtometriya

2016 year, number 4

SYNTHESIS OF FUNCTIONAL OBSERVERS USING LINEAR MATRIX INEQUALITIES

D. N. Dem'yanov, V. G. Volkov
Kazan Federal University, ul. Kremlevskya 18, Kazan 420008
Keywords: оценивание, функциональный наблюдатель, алгоритм синтеза, линейные матричные неравенства, канонизация матриц, estimation, functional observer, synthesis algorithm, linear matrix inequalities, canonization of matrices
Subsection: ANALYSIS AND SYNTHESIS OF SIGNALS AND IMAGES

Abstract

It is shown that the problem of observer synthesis to estimate a set of linear combinations of variable object states can be formulated in terms of linear matrix inequalities. An algorithm for constructing functional observers based on a non-degenerate transformation of the object model in the state space using the matrix canonization technique with subsequent solution of the system of linear matrix inequalities.