Determination of Simplified Models by means of Chebyshev Polynomials

Abstract

A method of simplifying the mathematical models described by high-order transfer functions is presented. The simplified transfer function is found by expanding the initial transfer function into a Chebyshev series and composing a rational approximation of this series. The time and frequency responses of the simplified model should ensure a good, in a sense of the norm assumed, approximation of these for the higher order models. The method presented provides better results than these in continued fraction method.