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**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.

Reviewer: Dumitru Stanomir (Bucureşti)

### 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 |

### Keywords:

sampled-data control; internal model principle; repetitive control; tracking control; periodic disturbances; digital systems; digital control systems
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\textit{R. Griñó} and \textit{R. Costa-Castelló}, Automatica 41, No. 1, 153--157 (2005; Zbl 1077.93036)

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