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Finite-Time Stability and Control of 2D Continuous–Discrete Systems in Roesser Model

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Abstract

This study is conducted to investigate stability and control problems within a finite-time interval for a 2D continuous–discrete system in Roesser model. The concepts of finite-time stability (FTS) and finite-time boundedness (FTB) are naturally extended to the 2D continuous–discrete system. Recursive relations between system states are first obtained, then sufficient conditions for FTS and FTB in the system are derived, and a finite-time controller is supplied to the system. Sufficient conditions for finite-time stabilization are also provided for the linear repetitive process. Examples of metal rolling operation are presented to illustrate the proposed method.

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Acknowledgements

The authors would like to thank the National Natural Science Foundation of China under Grant 61573007 and Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20133219110040 for financial support.

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Authors and Affiliations

  1. School of Science, Nanjing University of Science and Technology, Nanjing, 210094, China

    Jingbo Gao, Weiqun Wang & Guangchen Zhang

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  1. Jingbo Gao
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  2. Weiqun Wang
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  3. Guangchen Zhang
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Correspondence to Weiqun Wang.

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Gao, J., Wang, W. & Zhang, G. Finite-Time Stability and Control of 2D Continuous–Discrete Systems in Roesser Model. Circuits Syst Signal Process 37, 4789–4809 (2018). https://doi.org/10.1007/s00034-018-0813-9

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  • DOI: https://doi.org/10.1007/s00034-018-0813-9

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