ANALYTICAL SYNTHESIS OF THE STATE OBSERVER OF A BILINEAR DYNAMIC SYSTEM WITH A VECTOR INPUT
A. Z. Asanov1, D. N. Dem'yanov2
1MIREA - Russian Technological University, Moscow, Russia
2Kazan Federal University, Kazan, Russia
demyanovdn@mail.ru
Keywords: билинейная система, векторный входной сигнал, наблюдатель состояния, канонизация матриц, модальное управление, bilinear system, vector input signal, state observer, matrix canonization, modal control
Abstract
The problem of estimating the state vector of a bilinear dynamic system with a vector entrance is under consideration. It is shown that, with fulfillment of multiple restrictions, a Luenberger state observer can be formed, which ensures that the estimation error tends to zero. A step-by-step algorithm for determining the matrices of observer coefficients is proposed, based on matrix canonization and modal control methods
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