Creator:
Zhou, Lan ; She, Jinhua ; Zhou, Shaowu
Contributor:
Makowski, Ryszard - ed. ; Zarzycki, Jan - ed.
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Subject and Keywords:
repetitive control ; dynamic output-feedback ; two-dimensional system ; singular-value decomposition ; linear matrix inequality
Abstract:
This paper is concerned with the problem of designing a robust modified repetitive-control system with a dynamic output feedback controller for a class of strictly proper plants. Employing the continuous lifting technique, a continuous-discrete two-dimensional (2D) model is built that accurately describes the features of repetitive control. ; The 2D control input contains the direct sum of the effects of control and learning, which allows us to adjust control and learning preferentially. The singular-value decomposition of the output matrix and Lyapunov stability theory are used to derive an asymptotic stability condition based on a Linear Matrix Inequality (LMI). Two tuning parameters in the LMI manipulate the preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the effectiveness of the method.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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Source:
AMCS, volume 24, number 2 (2014) ; click here to follow the link