Automation, Control and Intelligent Systems

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Dynamic Output Feedback Control for Nonlinear Uncertain Systems with Multiple Time-Varying Delays

Received: 26 December 2017    Accepted: 25 January 2018    Published: 02 April 2018
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Abstract

This paper addresses the adaptive dynamic output-feedback control problem for a class of nonlinear discrete-time systems with multiple time-varying delays. First, the guaranteed cost function is introduced for the nonlinear system to reduce the effect of the time-varying delays. Secondly, in order to deal with the multiple time-varying delays, the nonlinear system is decomposed into two subsystems. Then the compensator is designed for the first subsystem, and the adaptive dynamic output-feedback controller is constructed based on the subsystems. By introducing the new discrete Lyapunov-Krasovskii functional, it can be seen that the solutions of the resultant closed-loop system converge to an adjustable bounded region. Finally, the simulations are performed to show the effectiveness of the proposed methods.

DOI 10.11648/j.acis.20180601.12
Published in Automation, Control and Intelligent Systems (Volume 6, Issue 1, February 2018)
Page(s) 8-19
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), 2024. Published by Science Publishing Group

Keywords

Multiple Time-Varying Delays, Parametric Uncertainties, Dynamic Output Feedback Control, Lyapunov-Krasovskii Functional

References
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Author Information
  • Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China

  • Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China

  • China National Heavy Machinery Research Institute, Xi'an, China

  • Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China

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  • APA Style

    Wei Zheng, Hongbin Wang, Zhiming Zhang, Pengheng Yin. (2018). Dynamic Output Feedback Control for Nonlinear Uncertain Systems with Multiple Time-Varying Delays. Automation, Control and Intelligent Systems, 6(1), 8-19. https://doi.org/10.11648/j.acis.20180601.12

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    ACS Style

    Wei Zheng; Hongbin Wang; Zhiming Zhang; Pengheng Yin. Dynamic Output Feedback Control for Nonlinear Uncertain Systems with Multiple Time-Varying Delays. Autom. Control Intell. Syst. 2018, 6(1), 8-19. doi: 10.11648/j.acis.20180601.12

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    AMA Style

    Wei Zheng, Hongbin Wang, Zhiming Zhang, Pengheng Yin. Dynamic Output Feedback Control for Nonlinear Uncertain Systems with Multiple Time-Varying Delays. Autom Control Intell Syst. 2018;6(1):8-19. doi: 10.11648/j.acis.20180601.12

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  • @article{10.11648/j.acis.20180601.12,
      author = {Wei Zheng and Hongbin Wang and Zhiming Zhang and Pengheng Yin},
      title = {Dynamic Output Feedback Control for Nonlinear Uncertain Systems with Multiple Time-Varying Delays},
      journal = {Automation, Control and Intelligent Systems},
      volume = {6},
      number = {1},
      pages = {8-19},
      doi = {10.11648/j.acis.20180601.12},
      url = {https://doi.org/10.11648/j.acis.20180601.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.acis.20180601.12},
      abstract = {This paper addresses the adaptive dynamic output-feedback control problem for a class of nonlinear discrete-time systems with multiple time-varying delays. First, the guaranteed cost function is introduced for the nonlinear system to reduce the effect of the time-varying delays. Secondly, in order to deal with the multiple time-varying delays, the nonlinear system is decomposed into two subsystems. Then the compensator is designed for the first subsystem, and the adaptive dynamic output-feedback controller is constructed based on the subsystems. By introducing the new discrete Lyapunov-Krasovskii functional, it can be seen that the solutions of the resultant closed-loop system converge to an adjustable bounded region. Finally, the simulations are performed to show the effectiveness of the proposed methods.},
     year = {2018}
    }
    

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  • TY  - JOUR
    T1  - Dynamic Output Feedback Control for Nonlinear Uncertain Systems with Multiple Time-Varying Delays
    AU  - Wei Zheng
    AU  - Hongbin Wang
    AU  - Zhiming Zhang
    AU  - Pengheng Yin
    Y1  - 2018/04/02
    PY  - 2018
    N1  - https://doi.org/10.11648/j.acis.20180601.12
    DO  - 10.11648/j.acis.20180601.12
    T2  - Automation, Control and Intelligent Systems
    JF  - Automation, Control and Intelligent Systems
    JO  - Automation, Control and Intelligent Systems
    SP  - 8
    EP  - 19
    PB  - Science Publishing Group
    SN  - 2328-5591
    UR  - https://doi.org/10.11648/j.acis.20180601.12
    AB  - This paper addresses the adaptive dynamic output-feedback control problem for a class of nonlinear discrete-time systems with multiple time-varying delays. First, the guaranteed cost function is introduced for the nonlinear system to reduce the effect of the time-varying delays. Secondly, in order to deal with the multiple time-varying delays, the nonlinear system is decomposed into two subsystems. Then the compensator is designed for the first subsystem, and the adaptive dynamic output-feedback controller is constructed based on the subsystems. By introducing the new discrete Lyapunov-Krasovskii functional, it can be seen that the solutions of the resultant closed-loop system converge to an adjustable bounded region. Finally, the simulations are performed to show the effectiveness of the proposed methods.
    VL  - 6
    IS  - 1
    ER  - 

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