Determination of Simplified Models by means of Chebyshev Polynomials
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.
KeywordsTransfer Function Frequency Response Rational Approximation Chebyshev Polynomial Initial System
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