Absorptive Repetitive Filters with Operators of Generalized Fractional Calculus

Abstract

: An essentially new class of repetitive fractional disturbance absorptive filters in disturbances absorbing control systems is proposed in the paper. Systematization of the standard repetitive fractional disturbance absorptive filters of this class is suggested. They use rational approximations of the operators for fractional integration in the theory of fractional calculus. The paper discusses the possibilities for repetitive absorbing of the disturbances with integer order filters and with fractional order filters. The results from the comparative analysis of their frequency characteristics are given below.

Keywords

• integer order repetitive disturbance absorptive filters
• fractional order repetitive disturbance absorptive filters
• analysis of frequency characteristics