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Volume 12 Issue 3
June  2015
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Xi-Sheng Dai, Sen-Ping Tian and Ya-Jun Guo. Iterative Learning Control for Discrete Parabolic Distributed Parameter Systems. International Journal of Automation and Computing, vol. 12, no. 3, pp. 316-322, 2015. https://doi.org/10.1007/s11633-015-0892-z
Citation: Xi-Sheng Dai, Sen-Ping Tian and Ya-Jun Guo. Iterative Learning Control for Discrete Parabolic Distributed Parameter Systems. International Journal of Automation and Computing, vol. 12, no. 3, pp. 316-322, 2015. https://doi.org/10.1007/s11633-015-0892-z
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Iterative Learning Control for Discrete Parabolic Distributed Parameter Systems

doi: 10.1007/s11633-015-0892-z

  • College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China;

  • School of Electrical and Information Engineering, Guangxi University of Science and Technology, Liuzhou 545006, China;

  • School of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, China

Funds:

This work was supported by National Natural Science Foundation of China (Nos. 61364006 and 61374104), Guangxi Higher Education Science Research Projection (No. 201203YB125) and Project of Outstanding Young Teachers Training in Higher Education Institutions of Guangxi.

  • Received Date: 2014-05-30
  • Rev Recd Date: 2014-11-06
  • Publish Date: 2015-06-01
    Abstract
  • In this paper, iterative learning control (ILC) technique is applied to a class of discrete parabolic distributed parameter systems described by partial difference equations. A P-type learning control law is established for the system. The ILC of discrete parabolic distributed parameter systems is more complex as 3D dynamics in the time, spatial and iterative domains are involved. To overcome this difficulty, discrete Green formula and analogues discrete Gronwall inequality as well as some other basic analytic techniques are utilized. With rigorous analysis, the proposed intelligent control scheme guarantees the convergence of the tracking error. A numerical example is given to illustrate the effectiveness of the proposed method.

     

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