A majorization condition for MIMO stabilizability via MIMO transceivers with pure fading subchannels

Wei Chen; Songbai Wang; Li Qiu

doi:10.1109/ChiCC.2015.7260713

A majorization condition for MIMO stabilizability via MIMO transceivers with pure fading subchannels

Wei Chen
, Songbai Wang
, Li Qiu

Department of Electronic and Computer Engineering

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

8 Citations (Scopus)

Abstract

This paper aims at characterizing a fundamental limitation on the information constraints required for multi-input networked stabilization. A MIMO communication system is deployed for information exchange between the controller and the plant. The communication system is modeled as a MIMO transceiver, which consists of three parts: an encoder, a MIMO channel consisting of parallel SISO subchannels, and a decoder. We focus on the pure fading subchannels in this paper while the case of pure AWGN subchannels has been discussed in our previous work. Inheriting the spirit of MIMO communication, the number of SISO subchannels in the transceiver is often greater than the number of control inputs to be transmitted. The subchannel capacities are assumed to be fixed a priori. With the encoder/decoder pair at hand, the controller designer gains an additional design freedom on top of the controller, leading to a stabilization problem via coding/control co-design. A necessary and sufficient condition is obtained for the solvability of this coding/control co-design problem given in terms of a majorization type relation. A numerical example is presented to illustrate our results.

Original language	English
Title of host publication	Proceedings of the 34th Chinese Control Conference, CCC 2015
Editors	Qianchuan Zhao, Shirong Liu
Publisher	IEEE Computer Society
Pages	6800-6804
Number of pages	5
ISBN (Electronic)	9789881563897
DOIs	https://doi.org/10.1109/ChiCC.2015.7260713
Publication status	Published - 11 Sept 2015
Event	34th Chinese Control Conference, CCC 2015 - Hangzhou, China Duration: 28 Jul 2015 → 30 Jul 2015

Publication series

Name	Chinese Control Conference, CCC
Volume	2015-September
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Conference

Conference	34th Chinese Control Conference, CCC 2015
Country/Territory	China
City	Hangzhou
Period	28/07/15 → 30/07/15

Bibliographical note

Publisher Copyright:
© 2015 Technical Committee on Control Theory, Chinese Association of Automation.

Keywords

coding/control co-design
majorization
MIMO communication
Networked stabilization
topological entropy

Access to Document

10.1109/ChiCC.2015.7260713

Cite this

Chen, W., Wang, S., & Qiu, L. (2015). A majorization condition for MIMO stabilizability via MIMO transceivers with pure fading subchannels. In Q. Zhao, & S. Liu (Eds.), Proceedings of the 34th Chinese Control Conference, CCC 2015 (pp. 6800-6804). Article 7260713 (Chinese Control Conference, CCC; Vol. 2015-September). IEEE Computer Society. https://doi.org/10.1109/ChiCC.2015.7260713

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title = "A majorization condition for MIMO stabilizability via MIMO transceivers with pure fading subchannels",

abstract = "This paper aims at characterizing a fundamental limitation on the information constraints required for multi-input networked stabilization. A MIMO communication system is deployed for information exchange between the controller and the plant. The communication system is modeled as a MIMO transceiver, which consists of three parts: an encoder, a MIMO channel consisting of parallel SISO subchannels, and a decoder. We focus on the pure fading subchannels in this paper while the case of pure AWGN subchannels has been discussed in our previous work. Inheriting the spirit of MIMO communication, the number of SISO subchannels in the transceiver is often greater than the number of control inputs to be transmitted. The subchannel capacities are assumed to be fixed a priori. With the encoder/decoder pair at hand, the controller designer gains an additional design freedom on top of the controller, leading to a stabilization problem via coding/control co-design. A necessary and sufficient condition is obtained for the solvability of this coding/control co-design problem given in terms of a majorization type relation. A numerical example is presented to illustrate our results.",

keywords = "coding/control co-design, majorization, MIMO communication, Networked stabilization, topological entropy",

author = "Wei Chen and Songbai Wang and Li Qiu",

note = "Publisher Copyright: {\textcopyright} 2015 Technical Committee on Control Theory, Chinese Association of Automation.; 34th Chinese Control Conference, CCC 2015 ; Conference date: 28-07-2015 Through 30-07-2015",

year = "2015",

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doi = "10.1109/ChiCC.2015.7260713",

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Chen, W, Wang, S & Qiu, L 2015, A majorization condition for MIMO stabilizability via MIMO transceivers with pure fading subchannels. in Q Zhao & S Liu (eds), Proceedings of the 34th Chinese Control Conference, CCC 2015., 7260713, Chinese Control Conference, CCC, vol. 2015-September, IEEE Computer Society, pp. 6800-6804, 34th Chinese Control Conference, CCC 2015, Hangzhou, China, 28/07/15. https://doi.org/10.1109/ChiCC.2015.7260713

A majorization condition for MIMO stabilizability via MIMO transceivers with pure fading subchannels. / Chen, Wei; Wang, Songbai; Qiu, Li.
Proceedings of the 34th Chinese Control Conference, CCC 2015. ed. / Qianchuan Zhao; Shirong Liu. IEEE Computer Society, 2015. p. 6800-6804 7260713 (Chinese Control Conference, CCC; Vol. 2015-September).

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

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N2 - This paper aims at characterizing a fundamental limitation on the information constraints required for multi-input networked stabilization. A MIMO communication system is deployed for information exchange between the controller and the plant. The communication system is modeled as a MIMO transceiver, which consists of three parts: an encoder, a MIMO channel consisting of parallel SISO subchannels, and a decoder. We focus on the pure fading subchannels in this paper while the case of pure AWGN subchannels has been discussed in our previous work. Inheriting the spirit of MIMO communication, the number of SISO subchannels in the transceiver is often greater than the number of control inputs to be transmitted. The subchannel capacities are assumed to be fixed a priori. With the encoder/decoder pair at hand, the controller designer gains an additional design freedom on top of the controller, leading to a stabilization problem via coding/control co-design. A necessary and sufficient condition is obtained for the solvability of this coding/control co-design problem given in terms of a majorization type relation. A numerical example is presented to illustrate our results.

AB - This paper aims at characterizing a fundamental limitation on the information constraints required for multi-input networked stabilization. A MIMO communication system is deployed for information exchange between the controller and the plant. The communication system is modeled as a MIMO transceiver, which consists of three parts: an encoder, a MIMO channel consisting of parallel SISO subchannels, and a decoder. We focus on the pure fading subchannels in this paper while the case of pure AWGN subchannels has been discussed in our previous work. Inheriting the spirit of MIMO communication, the number of SISO subchannels in the transceiver is often greater than the number of control inputs to be transmitted. The subchannel capacities are assumed to be fixed a priori. With the encoder/decoder pair at hand, the controller designer gains an additional design freedom on top of the controller, leading to a stabilization problem via coding/control co-design. A necessary and sufficient condition is obtained for the solvability of this coding/control co-design problem given in terms of a majorization type relation. A numerical example is presented to illustrate our results.

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KW - Networked stabilization

KW - topological entropy

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PB - IEEE Computer Society

T2 - 34th Chinese Control Conference, CCC 2015

Y2 - 28 July 2015 through 30 July 2015

ER -

A majorization condition for MIMO stabilizability via MIMO transceivers with pure fading subchannels

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