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Scientific and technical journal of information technologies, mechanics and optics
UDK
Issue:4 (80)
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TRANSFORMATION OF DYNAMIC POLYNOMIAL SYSTEMS BY CHEBYSHEV APPROXIMATION
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This paper presents a new method of nonlinear model simplification for mechanical control systems presented by an autonomous differential equations system of a polynomial structure connected with Poincare-Dulac normalization method. Change in the method is made consisting in approximation of high degrees remainder terms by less degree polynomials with their saving in the equations and significant rise of changed system accuracy. The problem of transformation of phase variables for simplification of a mathematical model is considered. Chebyshev economization method is used to approximate remainder terms.
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