Geodesic
Stabilizing regulator for nonlinear systems based on fuzzy matrix Pad\'e approximation
Informacionnye tehnologii i vyčislitelnye sistemy, no. 1 (2021), pp. 42-49.

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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, parameter, nonlinear control systems, fuzzy singleton membership function.
Mots-clés : Riccati equation 
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     author = {Yu. E. Danik},
     title = {Stabilizing regulator for nonlinear systems based on fuzzy matrix {Pad\'e} approximation},
     journal = {Informacionnye tehnologii i vy\v{c}islitelnye sistemy},
     pages = {42--49},
     publisher = {mathdoc},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ITVS_2021_1_a4/}
}
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Yu. E. Danik. Stabilizing regulator for nonlinear systems based on fuzzy matrix Pad\'e approximation. Informacionnye tehnologii i vyčislitelnye sistemy, no. 1 (2021), pp. 42-49. http://geodesic.mathdoc.fr/item/ITVS_2021_1_a4/