Stabilization of multirate networked control systems

Wei Chen; Li Qiu

doi:10.1109/CDC.2011.6160504

Stabilization of multirate networked control systems

Wei Chen^*
, Li Qiu

^*Corresponding author for this work

Department of Electronic and Computer Engineering

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

3 Citations (Scopus)

Abstract

In this paper, we study the stabilization of multirate networked control systems with norm bounded uncertainties in the input channels. The key idea is to use the channel resource allocation, i.e., given the overall capacity of the transmission network, we do have the freedom to allocate the capacities among different input channels. With this idea, we successfully show that a multirate networked control system could be stabilized by state feedback under an appropriate resource allocation if and only if the overall network capacity is larger than the topological entropy of the plant. We also apply the result to multirate quantized networked control systems. A sufficient condition for stabilization is obtained which involves a trade-off between the densities of time quantization and spatial quantization.

Original language	English
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5274-5280
Number of pages	7
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6160504
Publication status	Published - 2011
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: 12 Dec 2011 → 15 Dec 2011

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	12/12/11 → 15/12/11

Access to Document

10.1109/CDC.2011.6160504

Cite this

Chen, W., & Qiu, L. (2011). Stabilization of multirate networked control systems. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 5274-5280). Article 6160504 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6160504

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title = "Stabilization of multirate networked control systems",

abstract = "In this paper, we study the stabilization of multirate networked control systems with norm bounded uncertainties in the input channels. The key idea is to use the channel resource allocation, i.e., given the overall capacity of the transmission network, we do have the freedom to allocate the capacities among different input channels. With this idea, we successfully show that a multirate networked control system could be stabilized by state feedback under an appropriate resource allocation if and only if the overall network capacity is larger than the topological entropy of the plant. We also apply the result to multirate quantized networked control systems. A sufficient condition for stabilization is obtained which involves a trade-off between the densities of time quantization and spatial quantization.",

author = "Wei Chen and Li Qiu",

year = "2011",

doi = "10.1109/CDC.2011.6160504",

language = "English",

isbn = "9781612848006",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "5274--5280",

booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",

note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",

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Chen, W & Qiu, L 2011, Stabilization of multirate networked control systems. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6160504, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 5274-5280, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6160504

Stabilization of multirate networked control systems. / Chen, Wei; Qiu, Li.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 5274-5280 6160504 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

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N2 - In this paper, we study the stabilization of multirate networked control systems with norm bounded uncertainties in the input channels. The key idea is to use the channel resource allocation, i.e., given the overall capacity of the transmission network, we do have the freedom to allocate the capacities among different input channels. With this idea, we successfully show that a multirate networked control system could be stabilized by state feedback under an appropriate resource allocation if and only if the overall network capacity is larger than the topological entropy of the plant. We also apply the result to multirate quantized networked control systems. A sufficient condition for stabilization is obtained which involves a trade-off between the densities of time quantization and spatial quantization.

AB - In this paper, we study the stabilization of multirate networked control systems with norm bounded uncertainties in the input channels. The key idea is to use the channel resource allocation, i.e., given the overall capacity of the transmission network, we do have the freedom to allocate the capacities among different input channels. With this idea, we successfully show that a multirate networked control system could be stabilized by state feedback under an appropriate resource allocation if and only if the overall network capacity is larger than the topological entropy of the plant. We also apply the result to multirate quantized networked control systems. A sufficient condition for stabilization is obtained which involves a trade-off between the densities of time quantization and spatial quantization.

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DO - 10.1109/CDC.2011.6160504

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Y2 - 12 December 2011 through 15 December 2011

ER -

Stabilization of multirate networked control systems

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