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

Xiao-E Ruan Zhao-Zhen Li Z. Z. Bien

Xiao-E Ruan, Zhao-Zhen Li, Z. Z. Bien. Discrete-frequency Convergence of Iterative Learning Control for Linear Time-invariant systems with Higher-order Relative Degree[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(3): 281-288. doi: 10.1007/s11633-015-0884-z
引用本文: Xiao-E Ruan, Zhao-Zhen Li, Z. Z. Bien. Discrete-frequency Convergence of Iterative Learning Control for Linear Time-invariant systems with Higher-order Relative Degree[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(3): 281-288. doi: 10.1007/s11633-015-0884-z
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 doi:  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 doi:  10.1007/s11633-015-0884-z

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

doi: 10.1007/s11633-015-0884-z
基金项目: 

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

详细信息
    作者简介:

    Zhao-Zhen Li received the B. Sc. degree in mathematical from Inner Mongolia Normal University China in 2011. Currently, she is a graduate student of Xi'an Jiaotong University, China. Her research interest is iterative learning control. E-mail: lzz0427@stu.xjtu.edu.cn

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

Funds: 

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

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出版历程
  • 收稿日期:  2014-04-29
  • 修回日期:  2014-10-28

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

doi: 10.1007/s11633-015-0884-z
    基金项目:

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

    作者简介:

    Zhao-Zhen Li received the B. Sc. degree in mathematical from Inner Mongolia Normal University China in 2011. Currently, she is a graduate student of Xi'an Jiaotong University, China. Her research interest is iterative learning control. E-mail: lzz0427@stu.xjtu.edu.cn

摘要: 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.

English Abstract

Xiao-E Ruan, Zhao-Zhen Li, Z. Z. Bien. Discrete-frequency Convergence of Iterative Learning Control for Linear Time-invariant systems with Higher-order Relative Degree[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(3): 281-288. doi: 10.1007/s11633-015-0884-z
引用本文: Xiao-E Ruan, Zhao-Zhen Li, Z. Z. Bien. Discrete-frequency Convergence of Iterative Learning Control for Linear Time-invariant systems with Higher-order Relative Degree[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(3): 281-288. doi: 10.1007/s11633-015-0884-z
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 doi:  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 doi:  10.1007/s11633-015-0884-z
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