Optimal Cost Control for Variable Sampling Period Network Control System with Actuator Failure

Ling Wang; Nan Xie

doi:doi:10.11648/j.acis.20160404.11

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Optimal Cost Control for Variable Sampling Period Network Control System with Actuator Failure

Ling Wang, Nan Xie

Published in Automation, Control and Intelligent Systems (Volume 4, Issue 4)

Received: 18 July 2016 Accepted: 28 July 2016 Published: 17 August 2016

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Abstract

This paper considers the networked control systems (NCSs) with the varying sampling period and actuator failure. When the NCSs are modeled, the varying sampling period was described by a constant sampling period and a network delay. Base on this and the actuator failed, using the Lyapunov stability theory and linear matrix inequalities to prove the existence of the cost guaranteed performance, and obtain the optimal cost guaranteed performance controller.

Published in	Automation, Control and Intelligent Systems (Volume 4, Issue 4)
DOI	10.11648/j.acis.20160404.11
Page(s)	66-72
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

Network Control System, Varying Sampling Period, Delay, Actuator Failure, Optimal Cost Guaranteed Performance

References

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[2]	Kun-Qiu Sun. "Guaranteed Cost Control Research for Networked Control Systems with Time-varying Sampling" Shenyang University of technology 2016.
[3]	FAN Jinrong. "Optimal cost control for networked control system with variable sampling period." Engineering Journal of Wuhan University 44. 6 (2011): 806-811.
[4]	Kim Dong Sung, Young Sam Lee, Wook Hyun Kwon, Hong Seong Park. "Maximum allowable delay bounds of networked control systems." Control Engineering Practice 11. 11 (2003): 1301-1313.
[5]	Miao Qi, Zhang Duanjin. "Recent Progression of Fault-Tolerant Control" Electrical Automation 2007, 9 (2).
[6]	Huo Zhihong, Fang Huajing, Yan Guihuan. "Co-design for NCS robust fault-tolerant control" Transactions on Automatic Control 2004, 49 (2): 281-287.
[7]	Zheng. Y. "Fault diagnosis and fault tolerant control of networked control system" Wuhan: Huazhong University of Science and Technology 2003.
[8]	Gao Huijun, Wu Junli, Shi Peng. “Robust sampled-data H∞ control with stochastic sampling" Automatica 2009, 45 (7).
[9]	FAN Jin-rong, FANG Hua-jing. "Robust fault tolerant control for networked control system with variable sampling period" Control Engineering of China 20. 5 (2013): 859-863.
[10]	Yi Jianqiang. "BP neural network prediction-based variable-period sampling approach for networked control systems" Applied Mathematics & Computation 185. 2 (2007): 976-988.
[11]	Xie Guangming, Wang Long. "Stabilization of NCSs with time-varying transmission period." IEEE International Conference on Systems, Man and Cybernetics 2005: 3759-3763 Vol. 4.
[12]	Yu-Long Wang, Guang-Hong Yang. "H∞ Controller design for network control system via active-varying sampling period method." ACTA AUTOMATICA SINICA 2008, 34 (7) 814-818.
[13]	Li Wei, Y Li, and W Liu. "Robust Fault Tolerant Control for Networked Control Systems with Uncertain Disturbance." Mechatronics and Automation, 2007. ICMA 2007. International Conference on IEEE, 2007: 2813-2818.
[14]	Li Yu. "An LMI approach to reliable guaranteed cost control of discrete-time systems with actuator failure." Applied Mathematics & Computation 162. 3 (2005): 1325-1331.
[15]	Li Yu. "Robust control- Linear matrix inequality approach." Beijing: Tsinghua University Press 2002.
[16]	C. Van Loan. "Computing integrals involving the matrix exponential." Automatic Control IEEE Transactions 23. 3 (1978): 395-404.

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APA Style

Ling Wang, Nan Xie. (2016). Optimal Cost Control for Variable Sampling Period Network Control System with Actuator Failure. Automation, Control and Intelligent Systems, 4(4), 66-72. https://doi.org/10.11648/j.acis.20160404.11

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ACS Style

Ling Wang; Nan Xie. Optimal Cost Control for Variable Sampling Period Network Control System with Actuator Failure. Autom. Control Intell. Syst. 2016, 4(4), 66-72. doi: 10.11648/j.acis.20160404.11

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AMA Style

Ling Wang, Nan Xie. Optimal Cost Control for Variable Sampling Period Network Control System with Actuator Failure. Autom Control Intell Syst. 2016;4(4):66-72. doi: 10.11648/j.acis.20160404.11

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@article{10.11648/j.acis.20160404.11,
  author = {Ling Wang and Nan Xie},
  title = {Optimal Cost Control for Variable Sampling Period Network Control System with Actuator Failure},
  journal = {Automation, Control and Intelligent Systems},
  volume = {4},
  number = {4},
  pages = {66-72},
  doi = {10.11648/j.acis.20160404.11},
  url = {https://doi.org/10.11648/j.acis.20160404.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acis.20160404.11},
  abstract = {This paper considers the networked control systems (NCSs) with the varying sampling period and actuator failure. When the NCSs are modeled, the varying sampling period was described by a constant sampling period and a network delay. Base on this and the actuator failed, using the Lyapunov stability theory and linear matrix inequalities to prove the existence of the cost guaranteed performance, and obtain the optimal cost guaranteed performance controller.},
 year = {2016}
}

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TY  - JOUR
T1  - Optimal Cost Control for Variable Sampling Period Network Control System with Actuator Failure
AU  - Ling Wang
AU  - Nan Xie
Y1  - 2016/08/17
PY  - 2016
N1  - https://doi.org/10.11648/j.acis.20160404.11
DO  - 10.11648/j.acis.20160404.11
T2  - Automation, Control and Intelligent Systems
JF  - Automation, Control and Intelligent Systems
JO  - Automation, Control and Intelligent Systems
SP  - 66
EP  - 72
PB  - Science Publishing Group
SN  - 2328-5591
UR  - https://doi.org/10.11648/j.acis.20160404.11
AB  - This paper considers the networked control systems (NCSs) with the varying sampling period and actuator failure. When the NCSs are modeled, the varying sampling period was described by a constant sampling period and a network delay. Base on this and the actuator failed, using the Lyapunov stability theory and linear matrix inequalities to prove the existence of the cost guaranteed performance, and obtain the optimal cost guaranteed performance controller.
VL  - 4
IS  - 4
ER  -

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Author Information

Ling Wang

College of Computer Science and Technology, Shandong University of Technology, Zibo, China
Nan Xie

College of Computer Science and Technology, Shandong University of Technology, Zibo, China

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APA Style

Ling Wang, Nan Xie. (2016). Optimal Cost Control for Variable Sampling Period Network Control System with Actuator Failure. Automation, Control and Intelligent Systems, 4(4), 66-72. https://doi.org/10.11648/j.acis.20160404.11

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ACS Style

Ling Wang; Nan Xie. Optimal Cost Control for Variable Sampling Period Network Control System with Actuator Failure. Autom. Control Intell. Syst. 2016, 4(4), 66-72. doi: 10.11648/j.acis.20160404.11

Copy | Download

AMA Style

Ling Wang, Nan Xie. Optimal Cost Control for Variable Sampling Period Network Control System with Actuator Failure. Autom Control Intell Syst. 2016;4(4):66-72. doi: 10.11648/j.acis.20160404.11

Copy | Download

@article{10.11648/j.acis.20160404.11,
  author = {Ling Wang and Nan Xie},
  title = {Optimal Cost Control for Variable Sampling Period Network Control System with Actuator Failure},
  journal = {Automation, Control and Intelligent Systems},
  volume = {4},
  number = {4},
  pages = {66-72},
  doi = {10.11648/j.acis.20160404.11},
  url = {https://doi.org/10.11648/j.acis.20160404.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acis.20160404.11},
  abstract = {This paper considers the networked control systems (NCSs) with the varying sampling period and actuator failure. When the NCSs are modeled, the varying sampling period was described by a constant sampling period and a network delay. Base on this and the actuator failed, using the Lyapunov stability theory and linear matrix inequalities to prove the existence of the cost guaranteed performance, and obtain the optimal cost guaranteed performance controller.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Optimal Cost Control for Variable Sampling Period Network Control System with Actuator Failure
AU  - Ling Wang
AU  - Nan Xie
Y1  - 2016/08/17
PY  - 2016
N1  - https://doi.org/10.11648/j.acis.20160404.11
DO  - 10.11648/j.acis.20160404.11
T2  - Automation, Control and Intelligent Systems
JF  - Automation, Control and Intelligent Systems
JO  - Automation, Control and Intelligent Systems
SP  - 66
EP  - 72
PB  - Science Publishing Group
SN  - 2328-5591
UR  - https://doi.org/10.11648/j.acis.20160404.11
AB  - This paper considers the networked control systems (NCSs) with the varying sampling period and actuator failure. When the NCSs are modeled, the varying sampling period was described by a constant sampling period and a network delay. Base on this and the actuator failed, using the Lyapunov stability theory and linear matrix inequalities to prove the existence of the cost guaranteed performance, and obtain the optimal cost guaranteed performance controller.
VL  - 4
IS  - 4
ER  -

Copy | Download