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

Wei Zheng; Hongbin Wang; Zhiming Zhang; Pengheng Yin

doi:doi:10.11648/j.acis.20180601.12

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

Wei Zheng, Hongbin Wang, Zhiming Zhang, Pengheng Yin

Published in Automation, Control and Intelligent Systems (Volume 6, Issue 1)

Received: 26 December 2017 Accepted: 25 January 2018 Published: 2 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.

Published in	Automation, Control and Intelligent Systems (Volume 6, Issue 1)
DOI	10.11648/j.acis.20180601.12
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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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://article.sciencepublishinggroup.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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Author Information

Wei Zheng

Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China
Hongbin Wang

Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China
Zhiming Zhang

China National Heavy Machinery Research Institute, Xi'an, China
Pengheng Yin

Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China

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Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

@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://article.sciencepublishinggroup.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}
}

Copy | Download

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  -

Copy | Download