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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

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.