Digital repetitive control under non-uniform sampling: an LMI stability analysis
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Digital repetitive control is a technique which allows tracking periodic references and/or rejecting periodic disturbances. Repetitive controllers are usually designed assuming a fixed fundamental frequency for the signals to be tracked/rejected and its main drawback being a dramatic performance decay when this frequency varies. A usual approach to overcome the problem consists of an adaptive change of the sampling period according to the reference/disturbance period variation. This paper presents a stability analysis of a digital repetitive controller working under time-varying sampling period by means of an LMI gridding approach. Theoretical developments are illustrated with experimental results, which are preceded by a detailed description of fundamental issues related to the implementation procedure.
CitationRamos, G.; J.M. Olm; Costa-Castelló, R. Digital repetitive control under non-uniform sampling: an LMI stability analysis. "Mathematical problems in engineering", 01 Juliol 2011, vol. 2011, p. 1-16.