Adaptive Iterative Learning Control of Non-uniform Trajectory Tracking for Strict Feedback Nonlinear Time-varying Systems

Chun-Li Zhang Jun-Min Li

Chun-Li Zhang, Jun-Min Li. Adaptive Iterative Learning Control of Non-uniform Trajectory Tracking for Strict Feedback Nonlinear Time-varying Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2014, 11(6): 621-626. doi: 10.1007/s11633-014-0819-0
引用本文: Chun-Li Zhang, Jun-Min Li. Adaptive Iterative Learning Control of Non-uniform Trajectory Tracking for Strict Feedback Nonlinear Time-varying Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2014, 11(6): 621-626. doi: 10.1007/s11633-014-0819-0
Chun-Li Zhang and Jun-Min Li. Adaptive Iterative Learning Control of Non-uniform Trajectory Tracking for Strict Feedback Nonlinear Time-varying Systems. International Journal of Automation and Computing, vol. 11, no. 6, pp. 621-626, 2014 doi:  10.1007/s11633-014-0819-0
Citation: Chun-Li Zhang and Jun-Min Li. Adaptive Iterative Learning Control of Non-uniform Trajectory Tracking for Strict Feedback Nonlinear Time-varying Systems. International Journal of Automation and Computing, vol. 11, no. 6, pp. 621-626, 2014 doi:  10.1007/s11633-014-0819-0

Adaptive Iterative Learning Control of Non-uniform Trajectory Tracking for Strict Feedback Nonlinear Time-varying Systems

doi: 10.1007/s11633-014-0819-0
基金项目: 

This work was supported by National Natural Science Foundation of China (No. 60974139) and Fundamental Research Funds for the Central Universities (No. 72103676).

详细信息
    作者简介:

    Jun-Min Li graduated from Xidian University, China in 1987. He received his M. Sc. degree from Xidian University in 1990 and his Ph.D. degree from the Xi'an Jiaotong University, China in 1997, respectively. He is currently a professor at Department of Applied Mathematics, Xidian University. His research interests include adaptive control, learning control, intelligent control, hybrid system control theory, and the networked control systems. E-mail: jmli@mail.xidian.edu.cn

Adaptive Iterative Learning Control of Non-uniform Trajectory Tracking for Strict Feedback Nonlinear Time-varying Systems

Funds: 

This work was supported by National Natural Science Foundation of China (No. 60974139) and Fundamental Research Funds for the Central Universities (No. 72103676).

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出版历程
  • 收稿日期:  2012-07-30
  • 修回日期:  2014-02-14

Adaptive Iterative Learning Control of Non-uniform Trajectory Tracking for Strict Feedback Nonlinear Time-varying Systems

doi: 10.1007/s11633-014-0819-0
    基金项目:

    This work was supported by National Natural Science Foundation of China (No. 60974139) and Fundamental Research Funds for the Central Universities (No. 72103676).

    作者简介:

    Jun-Min Li graduated from Xidian University, China in 1987. He received his M. Sc. degree from Xidian University in 1990 and his Ph.D. degree from the Xi'an Jiaotong University, China in 1997, respectively. He is currently a professor at Department of Applied Mathematics, Xidian University. His research interests include adaptive control, learning control, intelligent control, hybrid system control theory, and the networked control systems. E-mail: jmli@mail.xidian.edu.cn

摘要: In this paper, an iterative learning control strategy is presented for a class of nonlinear time-varying systems, the timevarying parameters are expanded into Fourier series with bounded remainder term. The backstepping design technique is used to deal with system dynamics with non-global Lipschitz nonlinearities and the approach proposed in this paper solves the non-uniform trajectory tracking problem. Based on the Lyapunov-like synthesis, the proposed method shows that all signals in the closed-loop system remain bounded over a pre-specified time interval [0, T]. And perfect non-uniform trajectory tracking of the system output is completed. A typical series is introduced in order to deal with the unknown bound of remainder term. Finally, a simulation example shows the feasibility and effectiveness of the approach.

English Abstract

Chun-Li Zhang, Jun-Min Li. Adaptive Iterative Learning Control of Non-uniform Trajectory Tracking for Strict Feedback Nonlinear Time-varying Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2014, 11(6): 621-626. doi: 10.1007/s11633-014-0819-0
引用本文: Chun-Li Zhang, Jun-Min Li. Adaptive Iterative Learning Control of Non-uniform Trajectory Tracking for Strict Feedback Nonlinear Time-varying Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2014, 11(6): 621-626. doi: 10.1007/s11633-014-0819-0
Chun-Li Zhang and Jun-Min Li. Adaptive Iterative Learning Control of Non-uniform Trajectory Tracking for Strict Feedback Nonlinear Time-varying Systems. International Journal of Automation and Computing, vol. 11, no. 6, pp. 621-626, 2014 doi:  10.1007/s11633-014-0819-0
Citation: Chun-Li Zhang and Jun-Min Li. Adaptive Iterative Learning Control of Non-uniform Trajectory Tracking for Strict Feedback Nonlinear Time-varying Systems. International Journal of Automation and Computing, vol. 11, no. 6, pp. 621-626, 2014 doi:  10.1007/s11633-014-0819-0
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