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Digital Repetitive Control under Nonuniform Sampling: An LMI Stability Analysis

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  • Germán A. Ramos
  • Josep M. Olm
  • Ramon Costa-Castelló

Abstract

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.

Suggested Citation

  • Germán A. Ramos & Josep M. Olm & Ramon Costa-Castelló, 2011. "Digital Repetitive Control under Nonuniform Sampling: An LMI Stability Analysis," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-16, August.
    • Handle: RePEc:hin:jnlmpe:120570
    DOI: 10.1155/2011/120570
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