Solving a Problem of Adaptive Stabilization for Some Static MIMO Systems

The purpose of the paper is to show that it is possible to stabilize any uncertain multivariable static plant which gain matrix may be either square or nonsquare and may have an arbitrary rank remaining unknown for the designer. Methods. The methods based on recursive point estimation of unknown pla...

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Bibliographic Details
Date:2019
Main Authors: Zhiteckii, L.S., Azarskov, V.N., Solovchuk, K.Yu.
Format: Article
Language:English
Published: Міжнародний науково-навчальний центр інформаційних технологій і систем НАН України та МОН України 2019
Series:Кибернетика и вычислительная техника
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Solving a Problem of Adaptive Stabilization for Some Static MIMO Systems / L.S. Zhiteckii, V.N. Azarskov, K.Yu. Solovchuk // Cybernetics and computer engineering. — 2019. — № 3 (197). — С. 33-50. — Бібліогр.: 29 назв. — англ. .

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:The purpose of the paper is to show that it is possible to stabilize any uncertain multivariable static plant which gain matrix may be either square or nonsquare and may have an arbitrary rank remaining unknown for the designer. Methods. The methods based on recursive point estimation of unknown plant parameters are utilized to design the adaptive inverse model-based controller. Results. The asymptotic properties of the adaptive controllers have been established. Simulation results have been presented to support the theoretic studies.