Design of numerator of transfer function from condition of absolute value optimum

Abstract

The technique was developed and analytic expressions were found for calculation of polynomial action coefficients for transfer function with known characteristic polynomial (CP) from condition of absolute value optimum. It was shown, that when using Butterworth's or Grechem-Letrop's standard polynomials as a CP, it is necessary to set the value of coefficient by Laplace operator's first degree in the action polynomial. The recommendations on this coefficient selection are presented. Diagrams of transient processes illustrate the synthesis technique.