Decentralized H∞ quantizers design for uncertain interconnected networked systems

Ning Chen, Guisheng Zhai, Weiying Liu, Weihua Gui

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we consider quantizers and controllers design of uncertain interconnected H∞ decentralized feedback networked systems with two quantized signals in states/outputs and control inputs. We first assume that a decentralized state feedback controller has been designed for an interconnected continuous-time networked system so that the closed-loop system is Hurwitz stable and a desired H∞ disturbance attenuation level is achieved. However, since the states and control inputs are quantized by a general quantizer before they are passed to the controller and system, the system's performance is not guaranteed. For this purpose, we propose a state and control input dependent strategy for updating the quantizers' parameters, so that the closed-loop system is asymptotically stable and achieves the same H∞ disturbance attenuation level. Both the pre-designed controllers and the quantizer's parameters are constructed in a decentralized manner, depending on local information. Finally, a numerical example is given to show the effectiveness of the proposed techniques.

Original languageEnglish
Title of host publicationProceedings of the 2009 IEEE International Conference on Networking, Sensing and Control, ICNSC 2009
Pages614-619
Number of pages6
DOIs
Publication statusPublished - 2009
Externally publishedYes
Event2009 IEEE International Conference on Networking, Sensing and Control, ICNSC 2009 - Okayama
Duration: 2009 Mar 262009 Mar 29

Other

Other2009 IEEE International Conference on Networking, Sensing and Control, ICNSC 2009
CityOkayama
Period09/3/2609/3/29

Fingerprint

Controllers
Closed loop systems
State feedback
Feedback

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Electrical and Electronic Engineering

Cite this

Chen, N., Zhai, G., Liu, W., & Gui, W. (2009). Decentralized H∞ quantizers design for uncertain interconnected networked systems. In Proceedings of the 2009 IEEE International Conference on Networking, Sensing and Control, ICNSC 2009 (pp. 614-619). [4919348] https://doi.org/10.1109/ICNSC.2009.4919348

Decentralized H∞ quantizers design for uncertain interconnected networked systems. / Chen, Ning; Zhai, Guisheng; Liu, Weiying; Gui, Weihua.

Proceedings of the 2009 IEEE International Conference on Networking, Sensing and Control, ICNSC 2009. 2009. p. 614-619 4919348.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Chen, N, Zhai, G, Liu, W & Gui, W 2009, Decentralized H∞ quantizers design for uncertain interconnected networked systems. in Proceedings of the 2009 IEEE International Conference on Networking, Sensing and Control, ICNSC 2009., 4919348, pp. 614-619, 2009 IEEE International Conference on Networking, Sensing and Control, ICNSC 2009, Okayama, 09/3/26. https://doi.org/10.1109/ICNSC.2009.4919348
Chen N, Zhai G, Liu W, Gui W. Decentralized H∞ quantizers design for uncertain interconnected networked systems. In Proceedings of the 2009 IEEE International Conference on Networking, Sensing and Control, ICNSC 2009. 2009. p. 614-619. 4919348 https://doi.org/10.1109/ICNSC.2009.4919348
Chen, Ning ; Zhai, Guisheng ; Liu, Weiying ; Gui, Weihua. / Decentralized H∞ quantizers design for uncertain interconnected networked systems. Proceedings of the 2009 IEEE International Conference on Networking, Sensing and Control, ICNSC 2009. 2009. pp. 614-619
@inproceedings{0679751e93c444e5aadd8f165dc577fc,
title = "Decentralized H∞ quantizers design for uncertain interconnected networked systems",
abstract = "In this paper, we consider quantizers and controllers design of uncertain interconnected H∞ decentralized feedback networked systems with two quantized signals in states/outputs and control inputs. We first assume that a decentralized state feedback controller has been designed for an interconnected continuous-time networked system so that the closed-loop system is Hurwitz stable and a desired H∞ disturbance attenuation level is achieved. However, since the states and control inputs are quantized by a general quantizer before they are passed to the controller and system, the system's performance is not guaranteed. For this purpose, we propose a state and control input dependent strategy for updating the quantizers' parameters, so that the closed-loop system is asymptotically stable and achieves the same H∞ disturbance attenuation level. Both the pre-designed controllers and the quantizer's parameters are constructed in a decentralized manner, depending on local information. Finally, a numerical example is given to show the effectiveness of the proposed techniques.",
author = "Ning Chen and Guisheng Zhai and Weiying Liu and Weihua Gui",
year = "2009",
doi = "10.1109/ICNSC.2009.4919348",
language = "English",
isbn = "9781424434923",
pages = "614--619",
booktitle = "Proceedings of the 2009 IEEE International Conference on Networking, Sensing and Control, ICNSC 2009",

}

TY - GEN

T1 - Decentralized H∞ quantizers design for uncertain interconnected networked systems

AU - Chen, Ning

AU - Zhai, Guisheng

AU - Liu, Weiying

AU - Gui, Weihua

PY - 2009

Y1 - 2009

N2 - In this paper, we consider quantizers and controllers design of uncertain interconnected H∞ decentralized feedback networked systems with two quantized signals in states/outputs and control inputs. We first assume that a decentralized state feedback controller has been designed for an interconnected continuous-time networked system so that the closed-loop system is Hurwitz stable and a desired H∞ disturbance attenuation level is achieved. However, since the states and control inputs are quantized by a general quantizer before they are passed to the controller and system, the system's performance is not guaranteed. For this purpose, we propose a state and control input dependent strategy for updating the quantizers' parameters, so that the closed-loop system is asymptotically stable and achieves the same H∞ disturbance attenuation level. Both the pre-designed controllers and the quantizer's parameters are constructed in a decentralized manner, depending on local information. Finally, a numerical example is given to show the effectiveness of the proposed techniques.

AB - In this paper, we consider quantizers and controllers design of uncertain interconnected H∞ decentralized feedback networked systems with two quantized signals in states/outputs and control inputs. We first assume that a decentralized state feedback controller has been designed for an interconnected continuous-time networked system so that the closed-loop system is Hurwitz stable and a desired H∞ disturbance attenuation level is achieved. However, since the states and control inputs are quantized by a general quantizer before they are passed to the controller and system, the system's performance is not guaranteed. For this purpose, we propose a state and control input dependent strategy for updating the quantizers' parameters, so that the closed-loop system is asymptotically stable and achieves the same H∞ disturbance attenuation level. Both the pre-designed controllers and the quantizer's parameters are constructed in a decentralized manner, depending on local information. Finally, a numerical example is given to show the effectiveness of the proposed techniques.

UR - http://www.scopus.com/inward/record.url?scp=70349087327&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70349087327&partnerID=8YFLogxK

U2 - 10.1109/ICNSC.2009.4919348

DO - 10.1109/ICNSC.2009.4919348

M3 - Conference contribution

AN - SCOPUS:70349087327

SN - 9781424434923

SP - 614

EP - 619

BT - Proceedings of the 2009 IEEE International Conference on Networking, Sensing and Control, ICNSC 2009

ER -