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Design of observer-based discrete repetitive-control system based on 2D model

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Abstract

A discrete observer-based repetitive control (RC) design method for a linear system with uncertainties was presented based on two-dimensional (2D) system theory. Firstly, a 2D discrete model was established to describe both the control behavior within a repetition period and the learning process taking place between periods. Next, by converting the designing problem of repetitive controller into one of the feedback gains of reconstructed variables, the stable condition was obtained through linear matrix inequality (LMI) and also the gain coefficient of repetitive system. Numerical simulation shows an exceptional feasibility of this proposal with remarkable robustness and tracking speed.

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Authors and Affiliations

  1. Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, College of Information Engineering, Xiangtan University, Xiangtan, 411105, China

    Zhao-hong Wang  (王昭鸿), Ling-zhi Yi  (易灵芝), Yong-hong Lan  (兰永红) & Cai-xue Chen  (陈才学)

Authors
  1. Zhao-hong Wang  (王昭鸿)
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  2. Ling-zhi Yi  (易灵芝)
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  3. Yong-hong Lan  (兰永红)
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  4. Cai-xue Chen  (陈才学)
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Corresponding author

Correspondence to Yong-hong Lan  (兰永红).

Additional information

Foundation item: Project(61104072) supported by the National Natural Science Foundation of China

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Wang, Zh., Yi, Lz., Lan, Yh. et al. Design of observer-based discrete repetitive-control system based on 2D model. J. Cent. South Univ. 21, 4236–4243 (2014). https://doi.org/10.1007/s11771-014-2420-7

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  • DOI: https://doi.org/10.1007/s11771-014-2420-7

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