Stabilizing regulator for nonlinear systems based on fuzzy matrix Pade approximation
YE Danik - Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2021 - mathnet.ru
Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2021•mathnet.ru
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.
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.
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.
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