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Volume 12 Issue 3
June  2015
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Xiao-E Ruan, Zhao-Zhen Li and Z. Z. Bien. Discrete-frequency Convergence of Iterative Learning Control for Linear Time-invariant systems with Higher-order Relative Degree. International Journal of Automation and Computing, vol. 12, no. 3, pp. 281-288, 2015. https://doi.org/10.1007/s11633-015-0884-z
Citation: Xiao-E Ruan, Zhao-Zhen Li and Z. Z. Bien. Discrete-frequency Convergence of Iterative Learning Control for Linear Time-invariant systems with Higher-order Relative Degree. International Journal of Automation and Computing, vol. 12, no. 3, pp. 281-288, 2015. https://doi.org/10.1007/s11633-015-0884-z
shu

Discrete-frequency Convergence of Iterative Learning Control for Linear Time-invariant systems with Higher-order Relative Degree

doi: 10.1007/s11633-015-0884-z

  • School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China;

  • Department of Electrical Engineering, Korea Advanced Institute of Science and Technology, Daejeon, 305-701, Korea

Funds:

This work was supported by National Natural Science Foundation of China (Nos. F010114-60974140 and 61273135)

  • Received Date: 2014-04-29
  • Rev Recd Date: 2014-10-28
  • Publish Date: 2015-06-01
    Abstract
  • In this paper, a discrete-frequency technique is developed for analyzing sufficiency and necessity of monotone convergence of a proportional higher-order-derivative iterative learning control scheme for a class of linear time-invariant systems with higher-order relative degree. The technique composes of two steps. The first step is to expand the iterative control signals, its driven outputs and the relevant signals as complex-form Fourier series and then to deduce the properties of the Fourier coefficients. The second step is to analyze the sufficiency and necessity of monotone convergence of the proposed proportional higher-order-derivative iterative learning control scheme by assessing the tracking errors in the forms of Paserval'senergy modes. Numerical simulations are illustrated to exhibit the validity and the effectiveness.

     

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