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01.08.2013 | Ausgabe 4/2013

International Journal of Automation and Computing 4/2013

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

Zeitschrift:
International Journal of Automation and Computing > Ausgabe 4/2013
Autoren:
Lan Zhou, Jin-Hua She, Min Wu
Wichtige Hinweise
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).
Lan Zhou received the B.Sc. degree from Hunan Normal University, China in 1998, and the M. Sc. degree from Central South University, China in 2006. From 2008 to 2010, she was a joint cultivation doctoral candidate of Japan and China. She received her Ph. D. degree in control science and engineering from Central South University, China in 2011. She is an associate professor of control theory and control engineering with the School of Information and Electrical Engineering, Hunan University of Science and Technology, China.
Her research interests include robust control, repetitive control, and control application.
Jin-Hua She received the B.Sc. degre 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.
Min Wu received the B.Sc. and M.Sc. degrees in engineering from Central South University, China in 1983 and 1986, respectively, and the Ph. D. degree in engineering from Tokyo Institute of Technology, Japan in 1999. Since 1986, he has been a faculty member with Central South University, where he is currently a professor of automatic control engineering with the School of Information Science and Engineering. He was a visiting scholar at the Department of Electrical Engineering, Tohoku University, Japan from 1989 to 1990, a visiting research scholar at the Department of Control and Systems Engineering, Tokyo Institute of Technology, Japan from {dy1996} to {dy1999}, and a visiting professor at the School of Mechanical, Materials, Manufacturing Engineering and Management, University of Nottingham, UK from {dy2001} to 2002. He received the Control Engineering Practice Paper Prize of the International Federation of Automatic Control (IFAC) in {dy1999} (jointly with M. Nakano and J. She). He is a member of the Nonferrous Metals Society of China and the China Association of Automation.
His research interests include robust control and its application, process control, and intelligent control.

Abstract

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.

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