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Guaranteed cost repetitive control for uncertain discrete-time systems

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Abstract

This paper considers the problem of guaranteed cost repetitive control for uncertain discrete-time systems. The uncertainty in the system is assumed to be norm-bounded and time-varying. The objective is to develop a novel design method for the repetitive control systems by introducing a robust output feedback controller so that the closed-loop system is quadratically stable and a certain bound of performance index is guaranteed for all admissible uncertainties. Necessary and sufficient conditions for the existence of such controllers are derived in terms of linear matrix inequality (LMI). A suboptimal guaranteed cost controller is obtained by solving an optimization problem with LMI constraints. Finally, a simulation example is provided to illustrate the validity of the proposed method.

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Authors and Affiliations

  1. the Department of Marine Engineering, Shanghai Maritime University, Shanghai, 200135, China

    Wentao Chen

  2. the Department of Automation, Shanghai Jiaotong University, Shanghai, 200240, China

    Wentao Chen & Weidong Zhang

Authors
  1. Wentao Chen
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  2. Weidong Zhang
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Corresponding author

Correspondence to Wentao Chen.

Additional information

Recommended by Editorial Board member Kwang Soon Lee under the direction of Editor Young Il Lee. This work was supported by the Specialized Research Fund for the National Science Foundation of China (60874005), Doctoral Program of Higher Education (20070248010), and Australia-China Special Fund for Scientific & Technological Cooperation (071107037).

Wentao Chen received his B.S. and M.S. degrees from Wuhan University of Technology in 1999 and 2002, respectively. In 2002, He joined the Faculty of the Department of Energy and Power, Wuhan University of Technology. He is currently a Ph.D. candidate at the Department of Automation, Shanghai Jiaotong University. His research interests include robust control, repetitive control and its applications.

Weidong Zhang received his B.S., M.S. and Ph.D. degrees from Zhejiang University in 1990, 1993, and 1996, respectively. He worked in National Key Laboratory of Industrial Control Technology as a post-doctoral research fellow before joining Shanghai Jiaotong University in 1998 as an associate professor. Since 1999 he has been a professor at the Department of Automation, Shanghai Jiaotong University. His current research interests include process control, robust control, networked control system and wireless sensor network.

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Chen, W., Zhang, W. Guaranteed cost repetitive control for uncertain discrete-time systems. Int. J. Control Autom. Syst. 8, 1003–1008 (2010). https://doi.org/10.1007/s12555-010-0509-9

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  • DOI: https://doi.org/10.1007/s12555-010-0509-9

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