ANALYTICAL SYNTHESIS OF FUNCTIONAL OBSERVERS FOR SYSTEMS WITH SIGNAL PERTURBATIONS
A. Z. Asanov, D. N. Dem’yanov
Kazan Federal University, ul. Kremlevskaya 18, Kazan, 420008 Russia
Keywords: functional observer, synthesis algorithm, matrix canonization, signal perturbation, invariance
Abstract
An algorithm for the analytical synthesis of functional observers is proposed which is based on a nondegenerate transformation of a state vector using the technology of matrix canonization and methods for solving linear matrix equations of arbitrary dimension. Conditions of the solvability of the synthesis problem and the invariance of the constructed observer to signal perturbations in the form of a system of linear matrix equations are formulated.
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