DATA PROCESSING AND ANALYSIS
CONTROL AND DECISION-MAKING
Yu. E. Danik Stabilizing Regulator for Nonlinear Systems Based on Fuzzy Matrix Padé Approximation
MATHEMATICAL MODELING
INTELLIGENCE SYSTEMS AND TECHNOLOGIES
Yu. E. Danik Stabilizing Regulator for Nonlinear Systems Based on Fuzzy Matrix Padé Approximation
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.

PP. 42-49.

DOI 10.14357/20718632210105
 
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