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Transient response of repetitive control systems

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2 Author(s)
Garimella, S.S. ; Alcoa Tech. Center, PA, USA ; Srinivasan, K.

Upper bounds on transient response magnitudes for a SISO continuous-time repetitive control system are derived. The need to limit the size of transients is shown to translate to limiting the amplitude ratio of the frequency response of a certain filter in the repetitive controller. The decay rate of the transients is related to the peak of a function of frequency called the regeneration spectrum, which has previously been shown in the literature to be a measure of the relative stability of the system. Bounds derived here, although conservative, can be useful in the design of the repetitive controller, as illustrated by means of an example.

Published in:

American Control Conference, 1994  (Volume:3 )

Date of Conference:

29 June-1 July 1994