Science China Information Sciences

, Volume 53, Issue 5, pp 1006–1015 | Cite as

Design of robust output-feedback repetitive controller for class of linear systems with uncertainties

  • Min WuEmail author
  • Lan Zhou
  • JinHua She
  • Yong He
Research Papers


Repetitive control, which adds a human-like learning capability to a control system, is widely used in many fields. This paper deals with the problem of designing a robust repetitive-control system based on output feedback for a class of plants with time-varying structured uncertainties. A continuous-discrete two-dimensional hybrid model is established that accurately describes the features of repetitive control so as to enable independent adjustment of the control and learning actions. A sufficient condition for the robust stability of the repetitivecontrol system is given in terms of a linear matrix inequality. The condition is then used to obtain the parameters of the repetitive controller. Finally, a numerical example demonstrates the effectiveness of the method.


learning output feedback repetitive control robust control linear matrix inequality 


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Copyright information

© Science China Press and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.School of Information Science and EngineeringCentral South UniversityChangshaChina
  2. 2.School of Computer ScienceTokyo University of TechnologyTokyoJapan

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