Non-Fragile Control for Variable Sampling Period Network Control System with Actuator Failure

Xin Tang; Nan Xie; Bin Xia; Nana Wang

doi:doi:10.11648/j.acis.20180604.11

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Non-Fragile Control for Variable Sampling Period Network Control System with Actuator Failure

Xin Tang, Nan Xie, Bin Xia, Nana Wang

Published in Automation, Control and Intelligent Systems (Volume 6, Issue 4)

Received: 8 October 2018 Accepted: 19 November 2018 Published: 18 December 2018

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Abstract

The guaranteed cost control problem is studied in this paper for a class of nonlinear discrete-time systems with both time-varying parametric uncertainty and actuator failures. At present, the researches on related fields of networked control systems are relatively mature, and many achievements have been made. But at the same time, most of the researches are focused on linear networked control systems, and the research on nonlinear networked control systems is relatively less. The goal is to design a non-fragile state feedback control law so that the closed-loop system is asymptotically stable and the closed-loop cost function value is no more than a specified upper bound for all admissible uncertainties. Firstly, the system model is established by using the method of variable sampling period. Secondly, the sufficient conditions for the asymptotic stability of the closed-loop system are given by using Lyapunov stability theory. Thirdly, based on the above researches, a non-fragile state feedback controller is designed by using linear matrix inequality (LMI). In the end, through the study of this paper, the cost function of the system under the designed non-fragile guaranteed cost controller does not exceed the given upper bound. This paper considers the actuator failure, and gives the design method of the non-fragile guaranteed cost controller of the nonlinear network control system, and makes a contribution to the field of network control system.

Published in	Automation, Control and Intelligent Systems (Volume 6, Issue 4)
DOI	10.11648/j.acis.20180604.11
Page(s)	38-46
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

Network Control System, Non-Fragile Control, Actuator Failure, Varying Sampling Period, Nonlinear

References

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APA Style

Xin Tang, Nan Xie, Bin Xia, Nana Wang. (2018). Non-Fragile Control for Variable Sampling Period Network Control System with Actuator Failure. Automation, Control and Intelligent Systems, 6(4), 38-46. https://doi.org/10.11648/j.acis.20180604.11

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ACS Style

Xin Tang; Nan Xie; Bin Xia; Nana Wang. Non-Fragile Control for Variable Sampling Period Network Control System with Actuator Failure. Autom. Control Intell. Syst. 2018, 6(4), 38-46. doi: 10.11648/j.acis.20180604.11

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AMA Style

Xin Tang, Nan Xie, Bin Xia, Nana Wang. Non-Fragile Control for Variable Sampling Period Network Control System with Actuator Failure. Autom Control Intell Syst. 2018;6(4):38-46. doi: 10.11648/j.acis.20180604.11

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@article{10.11648/j.acis.20180604.11,
  author = {Xin Tang and Nan Xie and Bin Xia and Nana Wang},
  title = {Non-Fragile Control for Variable Sampling Period Network Control System with Actuator Failure},
  journal = {Automation, Control and Intelligent Systems},
  volume = {6},
  number = {4},
  pages = {38-46},
  doi = {10.11648/j.acis.20180604.11},
  url = {https://doi.org/10.11648/j.acis.20180604.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acis.20180604.11},
  abstract = {The guaranteed cost control problem is studied in this paper for a class of nonlinear discrete-time systems with both time-varying parametric uncertainty and actuator failures. At present, the researches on related fields of networked control systems are relatively mature, and many achievements have been made. But at the same time, most of the researches are focused on linear networked control systems, and the research on nonlinear networked control systems is relatively less. The goal is to design a non-fragile state feedback control law so that the closed-loop system is asymptotically stable and the closed-loop cost function value is no more than a specified upper bound for all admissible uncertainties. Firstly, the system model is established by using the method of variable sampling period. Secondly, the sufficient conditions for the asymptotic stability of the closed-loop system are given by using Lyapunov stability theory. Thirdly, based on the above researches, a non-fragile state feedback controller is designed by using linear matrix inequality (LMI). In the end, through the study of this paper, the cost function of the system under the designed non-fragile guaranteed cost controller does not exceed the given upper bound. This paper considers the actuator failure, and gives the design method of the non-fragile guaranteed cost controller of the nonlinear network control system, and makes a contribution to the field of network control system.},
 year = {2018}
}

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TY  - JOUR
T1  - Non-Fragile Control for Variable Sampling Period Network Control System with Actuator Failure
AU  - Xin Tang
AU  - Nan Xie
AU  - Bin Xia
AU  - Nana Wang
Y1  - 2018/12/18
PY  - 2018
N1  - https://doi.org/10.11648/j.acis.20180604.11
DO  - 10.11648/j.acis.20180604.11
T2  - Automation, Control and Intelligent Systems
JF  - Automation, Control and Intelligent Systems
JO  - Automation, Control and Intelligent Systems
SP  - 38
EP  - 46
PB  - Science Publishing Group
SN  - 2328-5591
UR  - https://doi.org/10.11648/j.acis.20180604.11
AB  - The guaranteed cost control problem is studied in this paper for a class of nonlinear discrete-time systems with both time-varying parametric uncertainty and actuator failures. At present, the researches on related fields of networked control systems are relatively mature, and many achievements have been made. But at the same time, most of the researches are focused on linear networked control systems, and the research on nonlinear networked control systems is relatively less. The goal is to design a non-fragile state feedback control law so that the closed-loop system is asymptotically stable and the closed-loop cost function value is no more than a specified upper bound for all admissible uncertainties. Firstly, the system model is established by using the method of variable sampling period. Secondly, the sufficient conditions for the asymptotic stability of the closed-loop system are given by using Lyapunov stability theory. Thirdly, based on the above researches, a non-fragile state feedback controller is designed by using linear matrix inequality (LMI). In the end, through the study of this paper, the cost function of the system under the designed non-fragile guaranteed cost controller does not exceed the given upper bound. This paper considers the actuator failure, and gives the design method of the non-fragile guaranteed cost controller of the nonlinear network control system, and makes a contribution to the field of network control system.
VL  - 6
IS  - 4
ER  -

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Author Information

Xin Tang

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
Bin Xia

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

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

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Plain Text BibTeX RIS

APA Style

Xin Tang, Nan Xie, Bin Xia, Nana Wang. (2018). Non-Fragile Control for Variable Sampling Period Network Control System with Actuator Failure. Automation, Control and Intelligent Systems, 6(4), 38-46. https://doi.org/10.11648/j.acis.20180604.11

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ACS Style

Xin Tang; Nan Xie; Bin Xia; Nana Wang. Non-Fragile Control for Variable Sampling Period Network Control System with Actuator Failure. Autom. Control Intell. Syst. 2018, 6(4), 38-46. doi: 10.11648/j.acis.20180604.11

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AMA Style

Xin Tang, Nan Xie, Bin Xia, Nana Wang. Non-Fragile Control for Variable Sampling Period Network Control System with Actuator Failure. Autom Control Intell Syst. 2018;6(4):38-46. doi: 10.11648/j.acis.20180604.11

Copy | Download

@article{10.11648/j.acis.20180604.11,
  author = {Xin Tang and Nan Xie and Bin Xia and Nana Wang},
  title = {Non-Fragile Control for Variable Sampling Period Network Control System with Actuator Failure},
  journal = {Automation, Control and Intelligent Systems},
  volume = {6},
  number = {4},
  pages = {38-46},
  doi = {10.11648/j.acis.20180604.11},
  url = {https://doi.org/10.11648/j.acis.20180604.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acis.20180604.11},
  abstract = {The guaranteed cost control problem is studied in this paper for a class of nonlinear discrete-time systems with both time-varying parametric uncertainty and actuator failures. At present, the researches on related fields of networked control systems are relatively mature, and many achievements have been made. But at the same time, most of the researches are focused on linear networked control systems, and the research on nonlinear networked control systems is relatively less. The goal is to design a non-fragile state feedback control law so that the closed-loop system is asymptotically stable and the closed-loop cost function value is no more than a specified upper bound for all admissible uncertainties. Firstly, the system model is established by using the method of variable sampling period. Secondly, the sufficient conditions for the asymptotic stability of the closed-loop system are given by using Lyapunov stability theory. Thirdly, based on the above researches, a non-fragile state feedback controller is designed by using linear matrix inequality (LMI). In the end, through the study of this paper, the cost function of the system under the designed non-fragile guaranteed cost controller does not exceed the given upper bound. This paper considers the actuator failure, and gives the design method of the non-fragile guaranteed cost controller of the nonlinear network control system, and makes a contribution to the field of network control system.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Non-Fragile Control for Variable Sampling Period Network Control System with Actuator Failure
AU  - Xin Tang
AU  - Nan Xie
AU  - Bin Xia
AU  - Nana Wang
Y1  - 2018/12/18
PY  - 2018
N1  - https://doi.org/10.11648/j.acis.20180604.11
DO  - 10.11648/j.acis.20180604.11
T2  - Automation, Control and Intelligent Systems
JF  - Automation, Control and Intelligent Systems
JO  - Automation, Control and Intelligent Systems
SP  - 38
EP  - 46
PB  - Science Publishing Group
SN  - 2328-5591
UR  - https://doi.org/10.11648/j.acis.20180604.11
AB  - The guaranteed cost control problem is studied in this paper for a class of nonlinear discrete-time systems with both time-varying parametric uncertainty and actuator failures. At present, the researches on related fields of networked control systems are relatively mature, and many achievements have been made. But at the same time, most of the researches are focused on linear networked control systems, and the research on nonlinear networked control systems is relatively less. The goal is to design a non-fragile state feedback control law so that the closed-loop system is asymptotically stable and the closed-loop cost function value is no more than a specified upper bound for all admissible uncertainties. Firstly, the system model is established by using the method of variable sampling period. Secondly, the sufficient conditions for the asymptotic stability of the closed-loop system are given by using Lyapunov stability theory. Thirdly, based on the above researches, a non-fragile state feedback controller is designed by using linear matrix inequality (LMI). In the end, through the study of this paper, the cost function of the system under the designed non-fragile guaranteed cost controller does not exceed the given upper bound. This paper considers the actuator failure, and gives the design method of the non-fragile guaranteed cost controller of the nonlinear network control system, and makes a contribution to the field of network control system.
VL  - 6
IS  - 4
ER  -

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