On stabilizability of MIMO systems over parallel noisy channels

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

doi:10.1109/CDC.2014.7040340

On stabilizability of MIMO systems over parallel noisy 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

14 Citations (Scopus)

Abstract

In this paper we study the mean square stabilizability of MIMO discrete-time linear time-invariant plants over parallel additive white noise channels. We also consider a basic linear encoder-decoder scheme based on the design of a diagonal scaling matrix. We analyse the case of non minimum phase plants in an output feedback control setting. We obtain necessary and sufficient conditions for mean square stabilization when each SISO branch of the channel is subject to an individual signal-to-noise ratio constraint. We characterize a region where the set of constraints are compatible with mean square stability.

Original language	English
Article number	7040340
Pages (from-to)	6074-6079
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	2015-February
Issue number	February
DOIs	https://doi.org/10.1109/CDC.2014.7040340
Publication status	Published - 11 Feb 2015
Event	53rd IEEE Annual Conference on Decision and Control (CDC 2014) - J.W. Marriott Hotel, Los Angeles, United States Duration: 15 Dec 2014 → 17 Dec 2014 http://cdc2014.ieeecss.org/

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title = "On stabilizability of MIMO systems over parallel noisy channels",

abstract = "In this paper we study the mean square stabilizability of MIMO discrete-time linear time-invariant plants over parallel additive white noise channels. We also consider a basic linear encoder-decoder scheme based on the design of a diagonal scaling matrix. We analyse the case of non minimum phase plants in an output feedback control setting. We obtain necessary and sufficient conditions for mean square stabilization when each SISO branch of the channel is subject to an individual signal-to-noise ratio constraint. We characterize a region where the set of constraints are compatible with mean square stability.",

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

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AU - Vargas, Francisco J.

AU - Chen, Jie

AU - Silva, Eduardo I.

PY - 2015/2/11

Y1 - 2015/2/11

N2 - In this paper we study the mean square stabilizability of MIMO discrete-time linear time-invariant plants over parallel additive white noise channels. We also consider a basic linear encoder-decoder scheme based on the design of a diagonal scaling matrix. We analyse the case of non minimum phase plants in an output feedback control setting. We obtain necessary and sufficient conditions for mean square stabilization when each SISO branch of the channel is subject to an individual signal-to-noise ratio constraint. We characterize a region where the set of constraints are compatible with mean square stability.

AB - In this paper we study the mean square stabilizability of MIMO discrete-time linear time-invariant plants over parallel additive white noise channels. We also consider a basic linear encoder-decoder scheme based on the design of a diagonal scaling matrix. We analyse the case of non minimum phase plants in an output feedback control setting. We obtain necessary and sufficient conditions for mean square stabilization when each SISO branch of the channel is subject to an individual signal-to-noise ratio constraint. We characterize a region where the set of constraints are compatible with mean square stability.

U2 - 10.1109/CDC.2014.7040340

DO - 10.1109/CDC.2014.7040340

M3 - RGC 22 - Publication in policy or professional journal

SN - 0743-1546

VL - 2015-February

SP - 6074

EP - 6079

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

IS - February

M1 - 7040340

T2 - 53rd IEEE Annual Conference on Decision and Control (CDC 2014)

Y2 - 15 December 2014 through 17 December 2014

ER -

On stabilizability of MIMO systems over parallel noisy channels

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