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A Sequence of Finite-Dimensional Controllers for Repetitive Control of Positive Real Systems

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1 Author(s)
Lucibello, P. ; Societa Gestioni Impianti Nucleari, Roma

In this paper, we analyze the performance of positive real plants coupled with a progressively increasing number of harmonic oscillators. We prove that, as the number of oscillators tends to infinity thus covering the all frequency range, the steady-state output weakly converges to the periodic signal to be tracked. On the basis of this result, we next show that, under a suitable constraint on the signal to be tracked, strong convergence is actually achieved.

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Automatic Control, IEEE Transactions on  (Volume:52 ,  Issue: 9 )