Guaranteed Cost Control Research for Networked Control System with Time-Varying Sampling Period

Nana Wang; Nan Xie

doi:doi:10.11648/j.ijssn.20210901.16

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Guaranteed Cost Control Research for Networked Control System with Time-Varying Sampling Period

Nana Wang, Nan Xie

Published in International Journal of Sensors and Sensor Networks (Volume 9, Issue 1)

Received: 28 April 2021 Accepted: 21 May 2021 Published: 27 May 2021

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Abstract

In practical industrial applications, the networked control system is often affected by external factors and internal components in operation, which leads to the fluctuation of some data transmitted by the system and reduces the system performance. Therefore, to ensure the normal operation of the system is the key, on this basis, we also need to make the system satisfy certain performance indicators. In this paper, guaranteed cost control for networked control systems with time delay and time-varying sampling period is studied. By constructing a more general system model, we give a design method of guaranteed performance controller to make the closed-loop system asymptotically stable within the allowable range and and satisfies certain performance indicators. Firstly, we construct the reasonable Lyapunov function and performance index function. According to the relevant lemma, the sufficient conditions for the stability of the system are obtained by equivalent transformation of LMI. Then, we design a guaranteed performance controller to minimize the upper bound of the system performance index. In the design process, more free variables are introduced, and the convexity of the function is used for equivalent transformation as far as possible to make the results less conservative. Finally, we use MATLAB to simulate and prove that the method is feasible.

Published in	International Journal of Sensors and Sensor Networks (Volume 9, Issue 1)
DOI	10.11648/j.ijssn.20210901.16
Page(s)	38-44
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

Networked Control System, Time-Varying Sampling Period, LMI, Guaranteed Cost Control

References

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APA Style

Nana Wang, Nan Xie. (2021). Guaranteed Cost Control Research for Networked Control System with Time-Varying Sampling Period. International Journal of Sensors and Sensor Networks, 9(1), 38-44. https://doi.org/10.11648/j.ijssn.20210901.16

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ACS Style

Nana Wang; Nan Xie. Guaranteed Cost Control Research for Networked Control System with Time-Varying Sampling Period. Int. J. Sens. Sens. Netw. 2021, 9(1), 38-44. doi: 10.11648/j.ijssn.20210901.16

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AMA Style

Nana Wang, Nan Xie. Guaranteed Cost Control Research for Networked Control System with Time-Varying Sampling Period. Int J Sens Sens Netw. 2021;9(1):38-44. doi: 10.11648/j.ijssn.20210901.16

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@article{10.11648/j.ijssn.20210901.16,
  author = {Nana Wang and Nan Xie},
  title = {Guaranteed Cost Control Research for Networked Control System with Time-Varying Sampling Period},
  journal = {International Journal of Sensors and Sensor Networks},
  volume = {9},
  number = {1},
  pages = {38-44},
  doi = {10.11648/j.ijssn.20210901.16},
  url = {https://doi.org/10.11648/j.ijssn.20210901.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssn.20210901.16},
  abstract = {In practical industrial applications, the networked control system is often affected by external factors and internal components in operation, which leads to the fluctuation of some data transmitted by the system and reduces the system performance. Therefore, to ensure the normal operation of the system is the key, on this basis, we also need to make the system satisfy certain performance indicators. In this paper, guaranteed cost control for networked control systems with time delay and time-varying sampling period is studied. By constructing a more general system model, we give a design method of guaranteed performance controller to make the closed-loop system asymptotically stable within the allowable range and and satisfies certain performance indicators. Firstly, we construct the reasonable Lyapunov function and performance index function. According to the relevant lemma, the sufficient conditions for the stability of the system are obtained by equivalent transformation of LMI. Then, we design a guaranteed performance controller to minimize the upper bound of the system performance index. In the design process, more free variables are introduced, and the convexity of the function is used for equivalent transformation as far as possible to make the results less conservative. Finally, we use MATLAB to simulate and prove that the method is feasible.},
 year = {2021}
}

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TY  - JOUR
T1  - Guaranteed Cost Control Research for Networked Control System with Time-Varying Sampling Period
AU  - Nana Wang
AU  - Nan Xie
Y1  - 2021/05/27
PY  - 2021
N1  - https://doi.org/10.11648/j.ijssn.20210901.16
DO  - 10.11648/j.ijssn.20210901.16
T2  - International Journal of Sensors and Sensor Networks
JF  - International Journal of Sensors and Sensor Networks
JO  - International Journal of Sensors and Sensor Networks
SP  - 38
EP  - 44
PB  - Science Publishing Group
SN  - 2329-1788
UR  - https://doi.org/10.11648/j.ijssn.20210901.16
AB  - In practical industrial applications, the networked control system is often affected by external factors and internal components in operation, which leads to the fluctuation of some data transmitted by the system and reduces the system performance. Therefore, to ensure the normal operation of the system is the key, on this basis, we also need to make the system satisfy certain performance indicators. In this paper, guaranteed cost control for networked control systems with time delay and time-varying sampling period is studied. By constructing a more general system model, we give a design method of guaranteed performance controller to make the closed-loop system asymptotically stable within the allowable range and and satisfies certain performance indicators. Firstly, we construct the reasonable Lyapunov function and performance index function. According to the relevant lemma, the sufficient conditions for the stability of the system are obtained by equivalent transformation of LMI. Then, we design a guaranteed performance controller to minimize the upper bound of the system performance index. In the design process, more free variables are introduced, and the convexity of the function is used for equivalent transformation as far as possible to make the results less conservative. Finally, we use MATLAB to simulate and prove that the method is feasible.
VL  - 9
IS  - 1
ER  -

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Author Information

Nana 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

Nana Wang, Nan Xie. (2021). Guaranteed Cost Control Research for Networked Control System with Time-Varying Sampling Period. International Journal of Sensors and Sensor Networks, 9(1), 38-44. https://doi.org/10.11648/j.ijssn.20210901.16

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ACS Style

Nana Wang; Nan Xie. Guaranteed Cost Control Research for Networked Control System with Time-Varying Sampling Period. Int. J. Sens. Sens. Netw. 2021, 9(1), 38-44. doi: 10.11648/j.ijssn.20210901.16

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AMA Style

Nana Wang, Nan Xie. Guaranteed Cost Control Research for Networked Control System with Time-Varying Sampling Period. Int J Sens Sens Netw. 2021;9(1):38-44. doi: 10.11648/j.ijssn.20210901.16

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@article{10.11648/j.ijssn.20210901.16,
  author = {Nana Wang and Nan Xie},
  title = {Guaranteed Cost Control Research for Networked Control System with Time-Varying Sampling Period},
  journal = {International Journal of Sensors and Sensor Networks},
  volume = {9},
  number = {1},
  pages = {38-44},
  doi = {10.11648/j.ijssn.20210901.16},
  url = {https://doi.org/10.11648/j.ijssn.20210901.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssn.20210901.16},
  abstract = {In practical industrial applications, the networked control system is often affected by external factors and internal components in operation, which leads to the fluctuation of some data transmitted by the system and reduces the system performance. Therefore, to ensure the normal operation of the system is the key, on this basis, we also need to make the system satisfy certain performance indicators. In this paper, guaranteed cost control for networked control systems with time delay and time-varying sampling period is studied. By constructing a more general system model, we give a design method of guaranteed performance controller to make the closed-loop system asymptotically stable within the allowable range and and satisfies certain performance indicators. Firstly, we construct the reasonable Lyapunov function and performance index function. According to the relevant lemma, the sufficient conditions for the stability of the system are obtained by equivalent transformation of LMI. Then, we design a guaranteed performance controller to minimize the upper bound of the system performance index. In the design process, more free variables are introduced, and the convexity of the function is used for equivalent transformation as far as possible to make the results less conservative. Finally, we use MATLAB to simulate and prove that the method is feasible.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Guaranteed Cost Control Research for Networked Control System with Time-Varying Sampling Period
AU  - Nana Wang
AU  - Nan Xie
Y1  - 2021/05/27
PY  - 2021
N1  - https://doi.org/10.11648/j.ijssn.20210901.16
DO  - 10.11648/j.ijssn.20210901.16
T2  - International Journal of Sensors and Sensor Networks
JF  - International Journal of Sensors and Sensor Networks
JO  - International Journal of Sensors and Sensor Networks
SP  - 38
EP  - 44
PB  - Science Publishing Group
SN  - 2329-1788
UR  - https://doi.org/10.11648/j.ijssn.20210901.16
AB  - In practical industrial applications, the networked control system is often affected by external factors and internal components in operation, which leads to the fluctuation of some data transmitted by the system and reduces the system performance. Therefore, to ensure the normal operation of the system is the key, on this basis, we also need to make the system satisfy certain performance indicators. In this paper, guaranteed cost control for networked control systems with time delay and time-varying sampling period is studied. By constructing a more general system model, we give a design method of guaranteed performance controller to make the closed-loop system asymptotically stable within the allowable range and and satisfies certain performance indicators. Firstly, we construct the reasonable Lyapunov function and performance index function. According to the relevant lemma, the sufficient conditions for the stability of the system are obtained by equivalent transformation of LMI. Then, we design a guaranteed performance controller to minimize the upper bound of the system performance index. In the design process, more free variables are introduced, and the convexity of the function is used for equivalent transformation as far as possible to make the results less conservative. Finally, we use MATLAB to simulate and prove that the method is feasible.
VL  - 9
IS  - 1
ER  -

Copy | Download