The invention discloses a one-fourth period repetitive controller based on the attractive rule. The one-fourth period repetitive controller comprises a giving link, a one-fourth period feedback link, an e / v
signal transformation module and a subtraction / addition ring. The giving link generates a reference
signal provided with one-fourth period symmetry; the one-fourth period feedback link is constructed; the e / v
signal transformation module is constructed in dependence on the attractive rule, an output signal of the e / v
signal transformation module is applied to the correction of the repetitive controller; then an output signal of the repetitive controller is worked out and taken as an input of a controlled object. A specific controller parameter setting operation can be carried out according to indexes of convergence performance of a representation
system, and a monotone decreasing area, an absolute attraction layer and a steady-state
error band boundary of a representation trace error convergence process are provided. A closed-loop
system can completely eliminate one-fourth period symmetric interference signals, and the accurate control of the closed-loop
system is achieved. By means of the
time domain design of the one-fourth period repetitive controller, symmetric
signal interference is effectively restrained, the control precision is improved, and the occupied space of a memory is remarkably reduced.