## Digital repetitive plug-in controller for odd-harmonic periodic references and disturbances.(English)Zbl 1077.93036

A digital repetitive plug-in controller is presented. The reference signal and the disturbance are odd-harmonic frequencies of a fixed sinusoidal one. The particularity of the proposed scheme is that it introduces an infinite gain only at odd-harmonics; in this way an improvement of the internal stability is obtained. The key of the problem is to construct a repetitive loop for odd-harmonics. The overall performance of the scheme is derived and a proposition containing conditions which ensure the internal stability is presented. Finally, a numerical example is given: the signal to be tracked is a sinusoidal one $$(f=50$$ Hz) whereas the disturbance is composed by the first nine odd-harmonics. The sampling frequency was $$f_s=20$$ kHz, a multiple of the fundamental one.

### MSC:

 93C62 Digital control/observation systems 93C73 Perturbations in control/observation systems 93B51 Design techniques (robust design, computer-aided design, etc.) 93C57 Sampled-data control/observation systems
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### References:

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