The Parametrization of All Stabilizing Modified Repetitive Controllers for Time-Delay Systems with the Specified Input-Output Frequency Characteristics

• Published in: Theoretical and Applied Mechanics Japan 2005, Vol.54, pp.167-173
• Main Authors: SATOH, Keiji, YAMADA, Kou, KOWADA, Makoto
• Format: Article
• Language: English
• ISSN: 1348-0693; 1349-4244
• DOI: 10.11345/nctam.54.167

In this paper, we examine the parametrization of all stabilizing modified repetitive controllers for single-input/single-output time-delay systems with the specified input-output frequency characteristics. The parametrization of all stabilizing modified repetitive controllers for time-delay systems was considered by Yamada et al. However, using the parametrization of all stabilizing modified repetitive controllers for time-delay systems by Yamada et al., the input-output frequency characteristics cannot be settled easily. From a practical point of view, the input-output frequency characteristics of the control systems are required to be easily settled. In this paper, we expand the result by Yamada et al. and propose the parametrization of all stabilizing modified repetitive controllers for time-delay systems with the specified input-output frequency characteristics. Finally, a numerical example is shown to illustrate the effectiveness of the proposed parametrization.