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Design of a robust output-feedback-based modified repetitive-control system

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  • Lan Zhou
  • Jinhua She

Abstract

This paper concerns the problem of designing a robust output-feedback-based modified repetitive-control system for a class of strictly proper plants with periodic uncertainties. Exploiting the periodicity of repetitive control, a continuous-discrete two-dimensional (2D) model is built so that the control and learning actions can be adjusted preferentially by means of the control gains. The combination of the singular-value decomposition of the output matrix and the Lyapunov stability theory is used to derive a linear-matrix-inequality-(LMI-) based asymptotic stability condition. Two tuning parameters in the LMI regulate the choice of the parameters in the 2D control law and thereby enable the preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the validity of the method.

Suggested Citation

  • Lan Zhou & Jinhua She, 2015. "Design of a robust output-feedback-based modified repetitive-control system," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 808-817, April.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:808-817
    DOI: 10.1080/00207721.2013.791002
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    References listed on IDEAS

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    1. Mohammad Fateh & Hojjat Tehrani & Seyed Karbassi, 2013. "Repetitive control of electrically driven robot manipulators," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(4), pages 775-785.
    2. Xiao-Dong Li & Tommy Chow & L.L. Cheng, 2013. "Adaptive iterative learning control of non-linear MIMO continuous systems with iteration-varying initial error and reference trajectory," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(4), pages 786-794.
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    Cited by:

    1. Li Feng & Ke Zhang & Yi Chai & Shuiqing Xu & Zhimin Yang, 2017. "Iterative Learning Fault Estimation Design for Nonlinear System with Random Trial Length," Complexity, Hindawi, vol. 2017, pages 1-9, November.
    2. Mohanapriya, S. & Sweety, C. Antony Crispin & Sakthivel, R. & Parthasarathy, V., 2023. "Disturbance attenuation for neutral Markovian jump systems with multiple delays," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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