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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.

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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