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Design of discrete-time repetitive control system based on two-dimensionalmodel

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Abstract

This paper presents a novel design method for discrete-time repetitive control systems (RCS) based on two-dimensional (2D) discrete-time model. Firstly, the 2D model of an RCS is established by considering both the control action and the learning action in RCS. Then, through constructing a 2D state feedback controller, the design problem of the RCS is converted to the design problem of a 2D system. Then, using 2D system theory and linear matrix inequality (LMI) method, stability criterion is derived for the system without and with uncertainties, respectively. Parameters of the system can be determined by solving the LMI of the stability criterion. Finally, numerical simulations validate the effectiveness of the proposed method.

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Authors and Affiliations

  1. School of Information Science and Engineering, Central South University, Changsha, 410083, PRC

    Song-Gui Yuan, Min Wu, Bao-Gang Xu & Rui-Juan Liu

  2. School of Electrical and Information Engineering, Changsha University of Science and Technology, Changsha, 410076, PRC

    Song-Gui Yuan

Authors
  1. Song-Gui Yuan
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  2. Min Wu
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  4. Rui-Juan Liu
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Corresponding author

Correspondence to Min Wu.

Additional information

This work was supported by National Natural Science Foundation of China (Nos. 60974045 and 60674016) and the Research Foundation of Education Bureau of Hunan Province, China (No. 08C090).

Song-Gui Yuan received his B. Sc. degree in automation from Xiangtan University in 1993, and M. Sc. degree in Technology of Computer Application from Changsha University of Science and Technology, PRC in 2003. In 1998, he was a lecturer at Changsha Communications Institute. Currently, he is an assistant professor at the School of Electrical and Information Engineering, Changsha University of Science and Technology, PRC.

His research interests include robust control and repetitive control theory.

Min Wu received his B. Sc. and M. Sc. degrees in engineering from Central South University, Changsha, PRC in 1983 and 1986, respectively. He received the Ph.D. degree in engineering from Tokyo Institute of Technology, Japan in 1999. Since July 1986, he has been with Central South University, where he is currently a professor of automatic control engineering at the School of Information Science and Engineering. He was a visiting scholar in the Department of Electrical Engineering, Tohoku University, Japan from 1989 to 1990, a visiting research scholar in the Department of Control and Systems Engineering, Tokyo Institute of Technology, Tokyo from 1996 to 1999, and a visiting professor at the School of Mechanical, Materials, Manufacturing and Management, University of Nottingham, England from 2001 to 2002. He is an IEEE senior member and a member of Nonferrous Metals Society of China and China Automation Association. He received the Best Paper Award at the International Federation of Automatic Control in 1999 (jointly with M. Nakano and J. H. She).

His research interests include robust control and its application, process control and intelligent control.

Bao-Gang Xu received his B. Sc. degree in engineering from the Central South University, PRC in 2009. Currently, he is a master student in the Department of Control Engineering at the School of Information Science and Engineering, Central South University, PRC.

His research interests include mechatronics and application of control theory.

Rui-Juan Liu received her B. Sc. and M. Sc. degrees in mathematics from Changsha University of Science and Technology, PRC in 2004 and 2008, respectively. Currently, she is a Ph. D. candidate at the School of Information Science and Engineering, Central South University, PRC.

Her research interests include robust control and its application.

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Yuan, SG., Wu, M., Xu, BG. et al. Design of discrete-time repetitive control system based on two-dimensionalmodel. Int. J. Autom. Comput. 9, 165–170 (2012). https://doi.org/10.1007/s11633-012-0629-1

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  • DOI: https://doi.org/10.1007/s11633-012-0629-1

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