A Construction Method of Rational Approximation Model for Fractional Calculus Operators in Frequency Domain

摘要

The controller model containing fractional calculus operators is an irrational function, therefore, to research the rational approximate of fractional calculus operators is an important content for analysis and realization of fractional-order controllers. In this paper, a construction method of fractional order operator was proposed in the frequency domain. Research shows that the rational approximation model constructed by the method can approximate fractional order operator effectively in a given frequency bandwidth.