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Robust Control for Discrete-Time Singular Marovian Jump Systems with Partly Unknown Transition Rates

Received: 19 September 2016     Published: 23 September 2016
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Abstract

This study investigates the problem of robust control for a class of discrete-time singular Marovian jump systems with partly unknown transition rates. Linear matrix inequality (LMI)-based sufficient conditions for the stochastic stability and robust control are developed. Then, a static output feedback controller and a robust static output feedback controller are designed to make sure the closed-loop systems are piecewise regular, causal and stochastically stable. Finally, numerical examples are presented to demonstrate the effectiveness and advantages of the theoretical results.

Published in Science Journal of Applied Mathematics and Statistics (Volume 4, Issue 5)
DOI 10.11648/j.sjams.20160405.14
Page(s) 217-224
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Robust Control, Partly Unknown Transition Rates, Singular Markovian Jump Systems

References
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Cite This Article
  • APA Style

    Yuhong Liu, Hui Li, Qishui Zhong, Shouming Zhong. (2016). Robust Control for Discrete-Time Singular Marovian Jump Systems with Partly Unknown Transition Rates. Science Journal of Applied Mathematics and Statistics, 4(5), 217-224. https://doi.org/10.11648/j.sjams.20160405.14

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    ACS Style

    Yuhong Liu; Hui Li; Qishui Zhong; Shouming Zhong. Robust Control for Discrete-Time Singular Marovian Jump Systems with Partly Unknown Transition Rates. Sci. J. Appl. Math. Stat. 2016, 4(5), 217-224. doi: 10.11648/j.sjams.20160405.14

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    AMA Style

    Yuhong Liu, Hui Li, Qishui Zhong, Shouming Zhong. Robust Control for Discrete-Time Singular Marovian Jump Systems with Partly Unknown Transition Rates. Sci J Appl Math Stat. 2016;4(5):217-224. doi: 10.11648/j.sjams.20160405.14

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  • @article{10.11648/j.sjams.20160405.14,
      author = {Yuhong Liu and Hui Li and Qishui Zhong and Shouming Zhong},
      title = {Robust Control for Discrete-Time Singular Marovian Jump Systems with Partly Unknown Transition Rates},
      journal = {Science Journal of Applied Mathematics and Statistics},
      volume = {4},
      number = {5},
      pages = {217-224},
      doi = {10.11648/j.sjams.20160405.14},
      url = {https://doi.org/10.11648/j.sjams.20160405.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20160405.14},
      abstract = {This study investigates the problem of robust control for a class of discrete-time singular Marovian jump systems with partly unknown transition rates. Linear matrix inequality (LMI)-based sufficient conditions for the stochastic stability and robust control are developed. Then, a static output feedback controller and a robust static output feedback controller are designed to make sure the closed-loop systems are piecewise regular, causal and stochastically stable. Finally, numerical examples are presented to demonstrate the effectiveness and advantages of the theoretical results.},
     year = {2016}
    }
    

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    T1  - Robust Control for Discrete-Time Singular Marovian Jump Systems with Partly Unknown Transition Rates
    AU  - Yuhong Liu
    AU  - Hui Li
    AU  - Qishui Zhong
    AU  - Shouming Zhong
    Y1  - 2016/09/23
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    N1  - https://doi.org/10.11648/j.sjams.20160405.14
    DO  - 10.11648/j.sjams.20160405.14
    T2  - Science Journal of Applied Mathematics and Statistics
    JF  - Science Journal of Applied Mathematics and Statistics
    JO  - Science Journal of Applied Mathematics and Statistics
    SP  - 217
    EP  - 224
    PB  - Science Publishing Group
    SN  - 2376-9513
    UR  - https://doi.org/10.11648/j.sjams.20160405.14
    AB  - This study investigates the problem of robust control for a class of discrete-time singular Marovian jump systems with partly unknown transition rates. Linear matrix inequality (LMI)-based sufficient conditions for the stochastic stability and robust control are developed. Then, a static output feedback controller and a robust static output feedback controller are designed to make sure the closed-loop systems are piecewise regular, causal and stochastically stable. Finally, numerical examples are presented to demonstrate the effectiveness and advantages of the theoretical results.
    VL  - 4
    IS  - 5
    ER  - 

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Author Information
  • School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China

  • School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China

  • School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China

  • School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China

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