Optimal mean-square performance for MIMO networked systems

Matt Rich; Nicola Elia

doi:10.1109/ACC.2015.7172288

Optimal mean-square performance for MIMO networked systems

Matt Rich, Nicola Elia

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

7 Scopus citations

Abstract

This paper addresses optimal mean-square performance for multiple-input multiple-output (MIMO) linear time invariant (LTI) systems subject to exogenous noise and communication losses between the plant and controller. First we derive linear matrix inequalities (LMIs) for analysis of mean-square stability and performance, then we show how a pair of semidefinite programs (SDPs) can be used to convexly find the optimal mean-square performance controller for output feedback scenarios assuming a delayed binary acknowledgment from the actuator receiver is available at the controller.

Original language	English (US)
Title of host publication	ACC 2015 - 2015 American Control Conference
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	6040-6045
Number of pages	6
ISBN (Electronic)	9781479986842
DOIs	https://doi.org/10.1109/ACC.2015.7172288
State	Published - Jul 28 2015
Externally published	Yes
Event	2015 American Control Conference, ACC 2015 - Chicago, United States Duration: Jul 1 2015 → Jul 3 2015

Publication series

Name	Proceedings of the American Control Conference
Volume	2015-July
ISSN (Print)	0743-1619

Conference

Conference	2015 American Control Conference, ACC 2015
Country/Territory	United States
City	Chicago
Period	7/1/15 → 7/3/15

Bibliographical note

Publisher Copyright:
© 2015 American Automatic Control Council.

Publisher link

10.1109/ACC.2015.7172288

Find It

Find It at U of M Libraries

Cite this

Optimal mean-square performance for MIMO networked systems. / Rich, Matt; Elia, Nicola.
ACC 2015 - 2015 American Control Conference. Institute of Electrical and Electronics Engineers Inc., 2015. p. 6040-6045 7172288 (Proceedings of the American Control Conference; Vol. 2015-July).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Rich, M & Elia, N 2015, Optimal mean-square performance for MIMO networked systems. in ACC 2015 - 2015 American Control Conference., 7172288, Proceedings of the American Control Conference, vol. 2015-July, Institute of Electrical and Electronics Engineers Inc., pp. 6040-6045, 2015 American Control Conference, ACC 2015, Chicago, United States, 7/1/15. https://doi.org/10.1109/ACC.2015.7172288

@inproceedings{b49ff8b1c7514f8c98a298df54426389,

title = "Optimal mean-square performance for MIMO networked systems",

abstract = "This paper addresses optimal mean-square performance for multiple-input multiple-output (MIMO) linear time invariant (LTI) systems subject to exogenous noise and communication losses between the plant and controller. First we derive linear matrix inequalities (LMIs) for analysis of mean-square stability and performance, then we show how a pair of semidefinite programs (SDPs) can be used to convexly find the optimal mean-square performance controller for output feedback scenarios assuming a delayed binary acknowledgment from the actuator receiver is available at the controller.",

author = "Matt Rich and Nicola Elia",

note = "Publisher Copyright: {\textcopyright} 2015 American Automatic Control Council.; 2015 American Control Conference, ACC 2015 ; Conference date: 01-07-2015 Through 03-07-2015",

year = "2015",

month = jul,

day = "28",

doi = "10.1109/ACC.2015.7172288",

language = "English (US)",

series = "Proceedings of the American Control Conference",

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

pages = "6040--6045",

booktitle = "ACC 2015 - 2015 American Control Conference",

}

TY - GEN

T1 - Optimal mean-square performance for MIMO networked systems

AU - Rich, Matt

AU - Elia, Nicola

PY - 2015/7/28

Y1 - 2015/7/28

N2 - This paper addresses optimal mean-square performance for multiple-input multiple-output (MIMO) linear time invariant (LTI) systems subject to exogenous noise and communication losses between the plant and controller. First we derive linear matrix inequalities (LMIs) for analysis of mean-square stability and performance, then we show how a pair of semidefinite programs (SDPs) can be used to convexly find the optimal mean-square performance controller for output feedback scenarios assuming a delayed binary acknowledgment from the actuator receiver is available at the controller.

AB - This paper addresses optimal mean-square performance for multiple-input multiple-output (MIMO) linear time invariant (LTI) systems subject to exogenous noise and communication losses between the plant and controller. First we derive linear matrix inequalities (LMIs) for analysis of mean-square stability and performance, then we show how a pair of semidefinite programs (SDPs) can be used to convexly find the optimal mean-square performance controller for output feedback scenarios assuming a delayed binary acknowledgment from the actuator receiver is available at the controller.

UR - http://www.scopus.com/inward/record.url?scp=84940952725&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84940952725&partnerID=8YFLogxK

U2 - 10.1109/ACC.2015.7172288

DO - 10.1109/ACC.2015.7172288

M3 - Conference contribution

AN - SCOPUS:84940952725

T3 - Proceedings of the American Control Conference

SP - 6040

EP - 6045

BT - ACC 2015 - 2015 American Control Conference

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2015 American Control Conference, ACC 2015

Y2 - 1 July 2015 through 3 July 2015

ER -

Optimal mean-square performance for MIMO networked systems

Abstract

Publication series

Conference

Bibliographical note

Publisher link

Find It

Other files and links

Fingerprint

Cite this