Stabilizability of Discrete-time SISO System using MIMO Communication

Radik Srazhidinov; Wei Chen; Li Qiu

doi:10.1109/CDC40024.2019.9029586

Stabilizability of Discrete-time SISO System using MIMO Communication

Radik Srazhidinov, Wei Chen, Li Qiu

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

1 Citation (Scopus)

Abstract

In this paper, we study the networked stabilizability of discrete-time SISO system over MIMO communication. The communication channel is modeled by a MIMO transceiver, which consists of a transmitter, a receiver and an AWGN MIMO channel. We assume that the MIMO transceiver is subject to individual power constraints in transmitted signals. The aim is to find a fundamental limitation on the information constraints so as to stabilize the networked control system over MIMO communication. A necessary and sufficient condition on the predetermined admissible power levels for networked stabilizability is obtained. We also show that the joint coding/control co-design stabilization problem can be solved via optimal control design and optimal communication design separately.

Original language	English
Title of host publication	2019 IEEE 58th Conference on Decision and Control, CDC 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4161-4165
Number of pages	5
ISBN (Electronic)	9781728113982
DOIs	https://doi.org/10.1109/CDC40024.2019.9029586
Publication status	Published - Dec 2019
Externally published	Yes
Event	58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France Duration: 11 Dec 2019 → 13 Dec 2019

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2019-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	58th IEEE Conference on Decision and Control, CDC 2019
Country/Territory	France
City	Nice
Period	11/12/19 → 13/12/19

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

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10.1109/CDC40024.2019.9029586

Cite this

Srazhidinov, R., Chen, W., & Qiu, L. (2019). Stabilizability of Discrete-time SISO System using MIMO Communication. In 2019 IEEE 58th Conference on Decision and Control, CDC 2019 (pp. 4161-4165). Article 9029586 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2019-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC40024.2019.9029586

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title = "Stabilizability of Discrete-time SISO System using MIMO Communication",

abstract = "In this paper, we study the networked stabilizability of discrete-time SISO system over MIMO communication. The communication channel is modeled by a MIMO transceiver, which consists of a transmitter, a receiver and an AWGN MIMO channel. We assume that the MIMO transceiver is subject to individual power constraints in transmitted signals. The aim is to find a fundamental limitation on the information constraints so as to stabilize the networked control system over MIMO communication. A necessary and sufficient condition on the predetermined admissible power levels for networked stabilizability is obtained. We also show that the joint coding/control co-design stabilization problem can be solved via optimal control design and optimal communication design separately.",

author = "Radik Srazhidinov and Wei Chen and Li Qiu",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 58th IEEE Conference on Decision and Control, CDC 2019 ; Conference date: 11-12-2019 Through 13-12-2019",

year = "2019",

month = dec,

doi = "10.1109/CDC40024.2019.9029586",

language = "English",

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

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

pages = "4161--4165",

booktitle = "2019 IEEE 58th Conference on Decision and Control, CDC 2019",

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Srazhidinov, R, Chen, W & Qiu, L 2019, Stabilizability of Discrete-time SISO System using MIMO Communication. in 2019 IEEE 58th Conference on Decision and Control, CDC 2019., 9029586, Proceedings of the IEEE Conference on Decision and Control, vol. 2019-December, Institute of Electrical and Electronics Engineers Inc., pp. 4161-4165, 58th IEEE Conference on Decision and Control, CDC 2019, Nice, France, 11/12/19. https://doi.org/10.1109/CDC40024.2019.9029586

Stabilizability of Discrete-time SISO System using MIMO Communication. / Srazhidinov, Radik; Chen, Wei; Qiu, Li.
2019 IEEE 58th Conference on Decision and Control, CDC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 4161-4165 9029586 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2019-December).

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

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T1 - Stabilizability of Discrete-time SISO System using MIMO Communication

AU - Srazhidinov, Radik

AU - Chen, Wei

AU - Qiu, Li

PY - 2019/12

Y1 - 2019/12

N2 - In this paper, we study the networked stabilizability of discrete-time SISO system over MIMO communication. The communication channel is modeled by a MIMO transceiver, which consists of a transmitter, a receiver and an AWGN MIMO channel. We assume that the MIMO transceiver is subject to individual power constraints in transmitted signals. The aim is to find a fundamental limitation on the information constraints so as to stabilize the networked control system over MIMO communication. A necessary and sufficient condition on the predetermined admissible power levels for networked stabilizability is obtained. We also show that the joint coding/control co-design stabilization problem can be solved via optimal control design and optimal communication design separately.

AB - In this paper, we study the networked stabilizability of discrete-time SISO system over MIMO communication. The communication channel is modeled by a MIMO transceiver, which consists of a transmitter, a receiver and an AWGN MIMO channel. We assume that the MIMO transceiver is subject to individual power constraints in transmitted signals. The aim is to find a fundamental limitation on the information constraints so as to stabilize the networked control system over MIMO communication. A necessary and sufficient condition on the predetermined admissible power levels for networked stabilizability is obtained. We also show that the joint coding/control co-design stabilization problem can be solved via optimal control design and optimal communication design separately.

UR - https://www.scopus.com/pages/publications/85082468338

U2 - 10.1109/CDC40024.2019.9029586

DO - 10.1109/CDC40024.2019.9029586

M3 - Conference Paper published in a book

AN - SCOPUS:85082468338

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 4161

EP - 4165

BT - 2019 IEEE 58th Conference on Decision and Control, CDC 2019

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 58th IEEE Conference on Decision and Control, CDC 2019

Y2 - 11 December 2019 through 13 December 2019

ER -

Stabilizability of Discrete-time SISO System using MIMO Communication

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