Design of a Discrete-time Output-feedback Based Repetitive-control System

Lan Zhou Jin-Hua She Min Wu

Lan Zhou, Jin-Hua She, Min Wu. Design of a Discrete-time Output-feedback Based Repetitive-control System[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(4): 343-349. doi: 10.1007/s11633-013-0730-0
引用本文: Lan Zhou, Jin-Hua She, Min Wu. Design of a Discrete-time Output-feedback Based Repetitive-control System[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(4): 343-349. doi: 10.1007/s11633-013-0730-0
Lan Zhou, Jin-Hua She and Min Wu. Design of a Discrete-time Output-feedback Based Repetitive-control System. International Journal of Automation and Computing, vol. 10, no. 4, pp. 343-349, 2013 doi:  10.1007/s11633-013-0730-0
Citation: Lan Zhou, Jin-Hua She and Min Wu. Design of a Discrete-time Output-feedback Based Repetitive-control System. International Journal of Automation and Computing, vol. 10, no. 4, pp. 343-349, 2013 doi:  10.1007/s11633-013-0730-0

Design of a Discrete-time Output-feedback Based Repetitive-control System

doi: 10.1007/s11633-013-0730-0
基金项目: 

This work was supported by National Natural Science Foundation of China (Nos. 61210011 and 61203010), National Science Fund for Distinguished Youth Scholars of China (No. 60425310), Scientific Research Fund of Hunan Provincial Education Department (No. 12B044), and Hunan Natural Science Foundation (No. 11JJ4059).

Design of a Discrete-time Output-feedback Based Repetitive-control System

Funds: 

This work was supported by National Natural Science Foundation of China (Nos. 61210011 and 61203010), National Science Fund for Distinguished Youth Scholars of China (No. 60425310), Scientific Research Fund of Hunan Provincial Education Department (No. 12B044), and Hunan Natural Science Foundation (No. 11JJ4059).

More Information
    Author Bio:

    Jin-Hua She received the B. Sc. degree in engineering from Central South University, China in 1983, the M. Sc. and the Ph.D. degrees in engineering from the Tokyo Institute of Technology, Japan in 1990 and 1993. In 1993, he joined the Department of Mechatronics, School of Engineering, Tokyo University of Technology, Japan. In 2008, he transferred to the School of Computer Science, Tokyo University of Technology, where he is currently a professor. He received the Control Engineering Practice Paper Prize of the International Federation of Automatic Control (IFAC) in 1999 (jointly with M. Wu and M. Nakano). His research interests include the application of control theory, repetitive control, process control, internet-based engineering education, and robotics. E-mail: she@stf.teu.jp.cn

    Corresponding author: Lan Zhou
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出版历程
  • 收稿日期:  2012-09-10
  • 修回日期:  2013-03-01
  • 刊出日期:  2013-08-20

Design of a Discrete-time Output-feedback Based Repetitive-control System

doi: 10.1007/s11633-013-0730-0
    基金项目:

    This work was supported by National Natural Science Foundation of China (Nos. 61210011 and 61203010), National Science Fund for Distinguished Youth Scholars of China (No. 60425310), Scientific Research Fund of Hunan Provincial Education Department (No. 12B044), and Hunan Natural Science Foundation (No. 11JJ4059).

    作者简介:

    Jin-Hua She received the B. Sc. degree in engineering from Central South University, China in 1983, the M. Sc. and the Ph.D. degrees in engineering from the Tokyo Institute of Technology, Japan in 1990 and 1993. In 1993, he joined the Department of Mechatronics, School of Engineering, Tokyo University of Technology, Japan. In 2008, he transferred to the School of Computer Science, Tokyo University of Technology, where he is currently a professor. He received the Control Engineering Practice Paper Prize of the International Federation of Automatic Control (IFAC) in 1999 (jointly with M. Wu and M. Nakano). His research interests include the application of control theory, repetitive control, process control, internet-based engineering education, and robotics. E-mail: she@stf.teu.jp.cn

摘要: This paper deals with the problem of designing a robust discrete output-feedback based repetitive-control system for a class of linear plants with periodic uncertainties. The periodicity of the repetitive-control system is exploited to establish a two-dimensional (2D) model that converts the design problem into a robust stabilization problem for a discrete 2D system. By employing Lyapunov stability theory and the singular-value decomposition of the output matrix, a linear-matrix-inequality (LMI) based stability condition is derived. The condition can be used directly to design the gains of the repetitive controller. Two tuning parameters in the LMI enable the preferential adjustment of control and learning. A numerical example illustrates the design procedure and demonstrates the validity of the method.

English Abstract

Lan Zhou, Jin-Hua She, Min Wu. Design of a Discrete-time Output-feedback Based Repetitive-control System[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(4): 343-349. doi: 10.1007/s11633-013-0730-0
引用本文: Lan Zhou, Jin-Hua She, Min Wu. Design of a Discrete-time Output-feedback Based Repetitive-control System[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(4): 343-349. doi: 10.1007/s11633-013-0730-0
Lan Zhou, Jin-Hua She and Min Wu. Design of a Discrete-time Output-feedback Based Repetitive-control System. International Journal of Automation and Computing, vol. 10, no. 4, pp. 343-349, 2013 doi:  10.1007/s11633-013-0730-0
Citation: Lan Zhou, Jin-Hua She and Min Wu. Design of a Discrete-time Output-feedback Based Repetitive-control System. International Journal of Automation and Computing, vol. 10, no. 4, pp. 343-349, 2013 doi:  10.1007/s11633-013-0730-0
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