CONTROL AND DECISION MAKING

Stabilizing regulator for nonlinear systems based on fuzzy matrix Padé approximation

Yu. E. Danik<sup>ab

a</sup> Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russia
^b Moscow Institute of Physics and Technology, Dolgoprudny, Russia

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.

DOI: 10.14357/20718632210105

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