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

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Abstract

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.

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Authors and Affiliations

  1. School of Information Science and Engineering, Central South University, Changsha, 410083, China

    Min Wu, Lan Zhou & Yong He

  2. School of Computer Science, Tokyo University of Technology, Tokyo, 192-0982, Japan

    JinHua She

Authors
  1. Min Wu
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  2. Lan Zhou
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  3. JinHua She
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  4. Yong He
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Correspondence to Min Wu.

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Wu, M., Zhou, L., She, J. et al. Design of robust output-feedback repetitive controller for class of linear systems with uncertainties. Sci. China Inf. Sci. 53, 1006–1015 (2010). https://doi.org/10.1007/s11432-010-0095-8

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  • DOI: https://doi.org/10.1007/s11432-010-0095-8

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