Necessary and sufficient conditions for mean square stabilization over MIMO SNR-constrained channels

Francisco J. Vargas; Jie Chen; Eduardo I. Silva

doi:10.1109/CDC.2012.6425963

Necessary and sufficient conditions for mean square stabilization over MIMO SNR-constrained channels

Francisco J. Vargas, Jie Chen, Eduardo I. Silva

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal

19 Citations (Scopus)

Abstract

This paper studies mean square stabilization of MIMO discrete-time linear time-invariant systems over a parallel MIMO additive white noise (AWN) channel. Such channel consists of multiple independent SISO AWN channels subject to independent input power constraints. We derive dynamic output feedback stabilization conditions subject to such constraints, for minimum phase plants that have relative degree one. Consequently, these conditions are also valid for general plants provided that state feedback is employed. Our results show that necessary and sufficient condition for stabilization can be determined by studying the feasibility of a constrained algebraic Riccati equation. These results are also extended to stabilization problems subject to channel capacity constraints. © 2012 IEEE.

Original language	English
Article number	6425963
Pages (from-to)	26-31
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/CDC.2012.6425963
Publication status	Published - 2012
Event	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: 10 Dec 2012 → 13 Dec 2012

Access Output

10.1109/CDC.2012.6425963

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{feed2c17eb2043a39c6c3fd7a3d91473,

title = "Necessary and sufficient conditions for mean square stabilization over MIMO SNR-constrained channels",

abstract = "This paper studies mean square stabilization of MIMO discrete-time linear time-invariant systems over a parallel MIMO additive white noise (AWN) channel. Such channel consists of multiple independent SISO AWN channels subject to independent input power constraints. We derive dynamic output feedback stabilization conditions subject to such constraints, for minimum phase plants that have relative degree one. Consequently, these conditions are also valid for general plants provided that state feedback is employed. Our results show that necessary and sufficient condition for stabilization can be determined by studying the feasibility of a constrained algebraic Riccati equation. These results are also extended to stabilization problems subject to channel capacity constraints. {\textcopyright} 2012 IEEE.",

author = "Vargas, {Francisco J.} and Jie Chen and Silva, {Eduardo I.}",

year = "2012",

doi = "10.1109/CDC.2012.6425963",

language = "English",

pages = "26--31",

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

issn = "0191-2216",

publisher = "IEEE",

note = "51st IEEE Conference on Decision and Control, CDC 2012 ; Conference date: 10-12-2012 Through 13-12-2012",

}

TY - JOUR

T1 - Necessary and sufficient conditions for mean square stabilization over MIMO SNR-constrained channels

AU - Vargas, Francisco J.

AU - Chen, Jie

AU - Silva, Eduardo I.

PY - 2012

Y1 - 2012

N2 - This paper studies mean square stabilization of MIMO discrete-time linear time-invariant systems over a parallel MIMO additive white noise (AWN) channel. Such channel consists of multiple independent SISO AWN channels subject to independent input power constraints. We derive dynamic output feedback stabilization conditions subject to such constraints, for minimum phase plants that have relative degree one. Consequently, these conditions are also valid for general plants provided that state feedback is employed. Our results show that necessary and sufficient condition for stabilization can be determined by studying the feasibility of a constrained algebraic Riccati equation. These results are also extended to stabilization problems subject to channel capacity constraints. © 2012 IEEE.

AB - This paper studies mean square stabilization of MIMO discrete-time linear time-invariant systems over a parallel MIMO additive white noise (AWN) channel. Such channel consists of multiple independent SISO AWN channels subject to independent input power constraints. We derive dynamic output feedback stabilization conditions subject to such constraints, for minimum phase plants that have relative degree one. Consequently, these conditions are also valid for general plants provided that state feedback is employed. Our results show that necessary and sufficient condition for stabilization can be determined by studying the feasibility of a constrained algebraic Riccati equation. These results are also extended to stabilization problems subject to channel capacity constraints. © 2012 IEEE.

UR - http://www.scopus.com/inward/record.url?scp=84874282932&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84874282932&origin=recordpage

U2 - 10.1109/CDC.2012.6425963

DO - 10.1109/CDC.2012.6425963

M3 - RGC 22 - Publication in policy or professional journal

SN - 0191-2216

SP - 26

EP - 31

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

M1 - 6425963

T2 - 51st IEEE Conference on Decision and Control, CDC 2012

Y2 - 10 December 2012 through 13 December 2012

ER -

Necessary and sufficient conditions for mean square stabilization over MIMO SNR-constrained channels

Abstract

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this