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Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2021, Issue 1, Pages 42–49
DOI: https://doi.org/10.14357/20718632210105 (Mi itvs718) 		 
CONTROL AND DECISION MAKING

Stabilizing regulator for nonlinear systems based on fuzzy matrix Padé approximation

Yu. E. Danikab

a Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russia
b Moscow Institute of Physics and Technology, Dolgoprudny, Russia
Full-text PDF (453 kB)
DOI: https://doi.org/10.14357/20718632210105
Abstract: In this paper an approach for the construction of a stabilizing regulator for a nonlinear control system based on an approximate solution of the state dependent Riccati equation (SDRE) and the use of a fuzzy matrix Padé approximation is proposed. A fuzzy matrix Padé approximation of order [3/3] is constructed on the basis of fuzzy singleton membership functions. Numerical experiments where the constructed regulator is compared with the SDRE regulator are presented.
Keywords: fuzzy matrix Padé approximation, Riccati equation, parameter, nonlinear control systems, fuzzy singleton membership function.
Funding agency Grant number
Russian Foundation for Basic Research 20-57-00011-Бел_а
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. E. Danik, “Stabilizing regulator for nonlinear systems based on fuzzy matrix Padé approximation”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2021, no. 1, 42–49
Citation in format AMSBIB
\Bibitem{Dan21}
\by Yu.~E.~Danik
\paper Stabilizing regulator for nonlinear systems based on fuzzy matrix Pad\'e approximation
\jour Informatsionnye Tekhnologii i Vychslitel'nye Sistemy
\yr 2021
\issue 1
\pages 42--49
\mathnet{http://mi.mathnet.ru/itvs718}
\crossref{https://doi.org/10.14357/20718632210105}
\elib{https://elibrary.ru/item.asp?id=45604918}
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