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

| Peer-Reviewed

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

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

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), 2018. Published by Science Publishing Group

Keywords

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

References

[1]	M. Luo, C. S. Li, X. Y. Zhao, R. H. Li and X. L. An "Compound feature selection and parameter optimization of ELM for fault diagnosis of rolling element bearings." Isa Transactions 65 (2016): 556.
[2]	C. S. Li, J. Z. Zhou, B. Fu. P. G. Kou and J. Xiao. "T–S Fuzzy Model Identification With a Gravitational Search-Based Hyperplane Clustering Algorithm." IEEE Transactions on Fuzzy Systems 20.2 (2012): 305-317.
[3]	C. S. Li, J. Z. Zhou, P. G. Kou and J. Xiao. "A novel chaotic particle swarm optimization based fuzzy clustering algorithm." Neurocomputing 83.15 (2012): 98-109.
[4]	C. C. Hua, Q. G. Wang, and X. P. Guan. "Adaptive fuzzy output-feedback controller design for nonlinear time-delay systems with unknown control direction." IEEE Transactions on Systems Man & Cybernetics Part B Cybernetics 39.2 (2005): 363-374.
[5]	J. Wei, Y. Zhang, M. Sun, and B. Geng. "Adaptive iterative learning control of a class of nonlinear time-delay systems with unknown backlash-like hysteresis input and control direction." Isa Transactions (2017). DOI: 10.1016/j.isatra.2017.05.007.
[6]	L. Jing, and H. K. Khalil. "High-gain-predictor-based output feedback control for time-delay nonlinear systems." Automatica 71 (2016): 324-333.
[7]	O. M. Kwon, H. P. Ju, S. M. Lee, and E. J. Cha. "New augmented Lyapunov–Krasovskii functional approach to stability analysis of neural networks with time-varying delays." Nonlinear Dynamics 76.1 (2014): 221-236.
[8]	I. V. Medvedeva, and A. P. Zhabko. "Synthesis of Razumikhin and Lyapunov–Krasovskii approaches to stability analysis of time-delay systems." Automatica 51 (2015): 372-377.
[9]	Éva Gyurkovics. "Guaranteed cost control of discrete-time uncertain systems with both state and input delays." International Journal of Control 23.5 (2016): 1-13.
[10]	Z. Wang, B. Shen, H. Shu, and G. Wei. "Quantized H-∞ control for nonlinear stochastic time-delay systems with missing measurements." IEEE Transactions on Automatic Control 57.6 (2012): 1431-1444.
[11]	Q. Zhou, P. Shi. S. Xu, and H. Li. "Adaptive static output feedback control for nonlinear time-delay systems by fuzzy approximation approach." IEEE Transactions on Fuzzy Systems 21.2 (2013): 301-313.
[12]	F. Z. Gao, and Y. Q. Wu. "Global stabilisation for a class of more general high-order time-delay nonlinear systems by output feedback." International Journal of Control 88.8 (2015): 1540-1553.
[13]	S. C. Tong, and Y. Li. "Adaptive fuzzy output feedback tracking back-stepping control of strict-feedback nonlinear systems with unknown dead zones." IEEE Transactions on Fuzzy Systems 20.1 (2012): 168-180.
[14]	S. Y. Liu, Y. Liu, and N. Wang. "Nonlinear disturbance observer-based back-stepping finite-time sliding mode tracking control of underwater vehicles with system uncertainties and external disturbances." Nonlinear Dynamics (2016): 1-12.
[15]	Y. H. Choi, and S. J. Yoo. "Minimal-approximation-based decentralized back-stepping control of interconnected time-delay systems." IEEE Transactions on Cybernetics (2016): 1-13.
[16]	D. Huang, and S. K. Nguang. "State feedback control of uncertain networked control systems with random time delays." IEEE Transactions on Automatic Control 53.3 (2008): 829-834.
[17]	Y. T. Wang, X. Lin, and X. Zhang. "State feedback stabilization for neutral-type neural networks with time-varying discrete and unbounded distributed delays." Journal of Control Science & Engineering 2012.1 (2012): 966-989.
[18]	H. Q. Wang, P. X. Liu, and S. Peng. "Observer-based fuzzy adaptive output-feedback control of stochastic nonlinear multiple time-delay systems." IEEE Transactions on Cybernetics 99.5 (2017): 1-11.
[19]	M. Wang, B. Chen, K. Liu, X. Liu, and S. Zhang. "Adaptive fuzzy tracking control of nonlinear time-delay systems with unknown virtual control coefficients." Information Sciences 178.22 (2015): 4326-4340.
[20]	X. J. Xie, and L. Liu. "Further results on output feedback stabilization for stochastic high-order nonlinear systems with time-varying delay." Automatica 48.10 (2012): 2577-2586.
[21]	T. Dierks, and S. Jagannathan. "Neural network output feedback control of robot formations." IEEE Transactions on Systems Man & Cybernetics Part B Cybernetics A Publication of the IEEE Systems Man & Cybernetics Society 40.2 (2016): 383-393.
[22]	B. Ren, S. S. Ge, K. P. Tee, and T. H. Lee. "Adaptive neural control for output feedback nonlinear systems using a barrier Lyapunov function." IEEE Transactions on Neural Networks 21.8 (2015): 1339.
[23]	J. Z. Peng, Y. Liu, and J. Wang. "Fuzzy adaptive output feedback control for robotic systems based on fuzzy adaptive observer." Nonlinear Dynamics 78.2 (2016): 789-801.
[24]	H. Yue, and J. Li. "Output-feedback adaptive fuzzy control for a class of non-linear time-varying delay systems with unknown control directions." IET Control Theory & Applications 6.9 (2016): 1266-1280.
[25]	C. C. Hua, L. Zhang, and X. Guan. "Decentralized output feedback controller design for nonlinear interconnected systems with unknown control direction and time-varying delays." International Journal of Adaptive Control & Signal Processing 28.11 (2014): 1160-1173.
[26]	Y. Li, and F. Gaob. "Optimal guaranteed cost control of discrete -time uncertain systems with both state and input delays." Journal of the Franklin Institute 338.1 (2016): 101-110.
[27]	M. S. Mahmoud. Resilient control of uncertain dynamical systems. Springer, Berlin, Heidelberg, (2014).
[28]	Y. He, G. P. Liu, D. Rees, and M. Wu. "Improved stabilisation method for networked control systems." IET Control Theory & Applications 1.6 (2007): 1580-1585.
[29]	Y. He, M. Wu, G. P. Liu, and J. H. She. "Output feedback stabilization for a discrete-time system with a time-varying delay." IEEE Transactions on Automatic Control 53.10 (2016): 2372-2377.

Cite This Article

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

Copy | Download

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

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

Download PDF

Sections

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

Copy | Download

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