Design and Analysis Strategies for Digital Repetitive Control Systems with Time-Varying Reference/Disturbance Period

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Document typeConference report
Defense date2009-12
Rights accessOpen Access
Abstract
This article introduces and analyzes the performance
features of different design schemes for digital repetitive
control systems subject to references/disturbances that exhibit
non-uniform frequency. Aiming for the maintenance of a
constant value for the ratio Tp/Ts, where Tp is the period of
the reference/disturbance signal and Ts is the sampling period,
two approaches are proposed. The first one deals with the realtime
adaptation of Ts to the actual changes of Tp; the stability
issue is studied by means of an LMI gridding method and also
using robust control techniques. The second one propounds the
introduction of an additional compensator that annihilates the
effect of the time-varying sampling in the closed-loop system
and forces its behavior to coincide with the one corresponding
to an a priori selected nominal sampling period; the procedure
needs the internal stability of the compensator-plant subsystem,
which is checked by means of LMI gridding. The theoretical
results are experimentally tested and compared through a
mechatronic plant model.
CitationCosta-Castelló, R.; J.M. Olm; Ramos, G.A. Design and Analysis Strategies for Digital Repetitive Control Systems with Time-Varying Reference/Disturbance Period. A: IEEE Conference on Decision and Control and Chinese Control Conference. Symposium on Learning Control. "Symposium on Learning Control at IEEE CDC 2009". Xangai: 2009, p. 1-6.
Publisher versionhttp://dcas.gist.ac.kr/ilc2009
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