Performance limitations for single-input LTI plants controlled over SNR constrained channels with feedback

This paper studies control problems for discrete-time single-input linear time-invariant plants when controlled over a signal-to-noise ratio (SNR) constrained channel. Our focus is on the performance limitations in an architecture that uses channel feedback. We explicitly characterize the interplay...

Full description

Saved in:
Bibliographic Details
Published inAutomatica (Oxford) Vol. 49; no. 2; pp. 540 - 547
Main Authors Silva, Eduardo I., Pulgar, Sebastián A.
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.02.2013
Elsevier
Subjects
Applied sciences
Channels
Computer science; control theory; systems
Computer systems and distributed systems. User interface
Constraints
Control systems
Control theory
Erasure channel
Exact sciences and technology
Feedback
Focusing
Networked control systems
Power constraints
Power plants
Signal-to-noise ratio
Software
Stabilization
Signal-to-noise ratio
Erasure channel
Networked control systems
Power constraints
Second moment
Stabilization
Feedback regulation
Distributed system
Stationary condition
Linear time invariant system
Optimal control
Discrete time
Distributed control
Error correcting code
Signal to noise ratio
Online AccessGet full text
ISSN0005-1098
1873-2836
DOI10.1016/j.automatica.2012.11.037

Cover

Abstract This paper studies control problems for discrete-time single-input linear time-invariant plants when controlled over a signal-to-noise ratio (SNR) constrained channel. Our focus is on the performance limitations in an architecture that uses channel feedback. We explicitly characterize the interplay between stabilization, optimal performance, and SNR constraints, highlighting the way in which plant dynamical features affect the best achievable performance. We also apply our results to the study of networked control systems where communication takes place over a power constrained erasure channel. In that scenario, we first show that stabilization problems, and problems involving stationary second-order moments, can be dealt with by focusing on a related SNR constrained networked situation. This observation allows one to obtain results valid in the alternative scenario as corollaries of the results obtained when a single SNR constraint is present.
AbstractList This paper studies control problems for discrete-time single-input linear time-invariant plants when controlled over a signal-to-noise ratio (SNR) constrained channel. Our focus is on the performance limitations in an architecture that uses channel feedback. We explicitly characterize the interplay between stabilization, optimal performance, and SNR constraints, highlighting the way in which plant dynamical features affect the best achievable performance. We also apply our results to the study of networked control systems where communication takes place over a power constrained erasure channel. In that scenario, we first show that stabilization problems, and problems involving stationary second-order moments, can be dealt with by focusing on a related SNR constrained networked situation. This observation allows one to obtain results valid in the alternative scenario as corollaries of the results obtained when a single SNR constraint is present.
Author Silva, Eduardo I.
Pulgar, Sebastián A.
Author_xml – sequence: 1
  givenname: Eduardo I.
  surname: Silva
  fullname: Silva, Eduardo I.
  email: eduardo.silva@usm.cl
– sequence: 2
  givenname: Sebastián A.
  surname: Pulgar
  fullname: Pulgar, Sebastián A.
  email: sebastian.pulgarl@gmail.com
BackLink http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=26818447$$DView record in Pascal Francis
BookMark eNqNUU2PFCEUJGZNnF39D1xMvHTLA7qbuZjoxo9NJqvR9UxY-uEy0jACs8Z_L5MZs4kXPb1Qqar3qDonZzFFJIQC64HB-HLbm31Ni6nemp4z4D1Az8T0iKxATaLjSoxnZMUYGzpga_WEnJeybU8Jiq_I9hNml_JiokUa_OJrc0qx0AbS4uO3gJ2Pu32lm5srugsm1kJtijWnEHCm6R4z_XL9-YCVmo2PDbR3JkYMhf709Y46xPnW2O9PyWNnQsFnp3lBvr57e3P5odt8fH91-XrTWSmgdlI5K80AFtbrQU52MvPgJmmVEAOHwSlAjmJisxUggHEzIpfM3gpuHJi1ERfkxdF3l9OPPZaqF18shnY7pn3RTTWMExMjb9TnJ6op1gSXWwy-6F32i8m_NB8VKCmnxnt15NmcSsnotD0Fdfhy0MD0oQy91Q9l6EMZGkC3MpqB-svgz47_kL45SlugeO8x62I9trpmn9FWPSf_b5PftDGuEQ
CODEN ATCAA9
CitedBy_id crossref_primary_10_1155_2016_6826130
crossref_primary_10_1080_00207179_2020_1756416
crossref_primary_10_1109_TAC_2020_2999444
crossref_primary_10_1109_TAC_2017_2674024
crossref_primary_10_1016_j_neucom_2017_10_048
crossref_primary_10_1109_TAC_2022_3214055
crossref_primary_10_1109_TAC_2020_2981369
crossref_primary_10_1016_j_jfranklin_2015_05_036
crossref_primary_10_1016_j_sysconle_2024_105985
crossref_primary_10_1016_j_ifacol_2020_12_1010
crossref_primary_10_1080_00207721_2013_784822
crossref_primary_10_1016_j_isatra_2019_05_010
crossref_primary_10_1016_j_automatica_2018_07_019
crossref_primary_10_1177_0142331213515017
crossref_primary_10_1016_j_ifacol_2017_08_094
crossref_primary_10_1016_j_automatica_2023_111178
crossref_primary_10_1016_j_ifacol_2017_08_1133
crossref_primary_10_1007_s12555_013_9283_9
crossref_primary_10_1016_j_automatica_2014_10_011
crossref_primary_10_1016_j_automatica_2015_07_019
crossref_primary_10_1007_s00034_016_0417_1
crossref_primary_10_1016_j_ins_2016_09_025
crossref_primary_10_1214_18_AAP1415
crossref_primary_10_1049_iet_cta_2018_5007
crossref_primary_10_1049_iet_cta_2013_0888
crossref_primary_10_1109_LCSYS_2018_2849615
crossref_primary_10_1109_TAC_2023_3343593
Cites_doi 10.1109/CDC.2009.5399768
10.1109/JPROC.2006.887306
10.1137/S0363012902402116
10.1016/j.automatica.2008.05.021
10.1049/iet-cta.2009.0449
10.1109/TAC.2003.816221
10.1109/JPROC.2006.887291
10.1109/TAC.2010.2097831
10.1109/TSP.2008.925577
10.1109/JPROC.2006.887294
10.1016/0167-6911(91)90017-9
10.1109/TAC.2008.2010887
10.1016/j.automatica.2008.05.014
10.1016/j.automatica.2011.02.050
10.1109/ISIT.2007.4557470
10.1109/CDC.2007.4434535
10.1109/TAC.2010.2068590
10.3182/20110828-6-IT-1002.02586
10.1109/TAC.2007.902739
10.1109/JPROC.2006.887288
10.1016/j.automatica.2007.07.002
10.1109/TAC.2003.815012
10.1049/iet-cta:20070246
10.1109/TIT.2006.878169
10.1109/TAC.2010.2040507
10.1109/TAC.2008.2007183
10.1109/TAC.2010.2098070
10.1109/TAC.2011.2139430
10.1109/CDC.2005.1582153
10.23919/ACC.2004.1384626
10.1109/ALLERTON.2008.4797561
10.1016/j.automatica.2009.12.001
10.1109/TAC.2004.834430
10.1109/TAC.2008.929361
10.1287/mnsc.13.7.492
ContentType Journal Article
Copyright 2012 Elsevier Ltd
2014 INIST-CNRS
Copyright_xml – notice: 2012 Elsevier Ltd
– notice: 2014 INIST-CNRS
DBID AAYXX
CITATION
IQODW
7SC
7SP
8FD
JQ2
L7M
L~C
L~D
DOI 10.1016/j.automatica.2012.11.037
DatabaseName CrossRef
Pascal-Francis
Computer and Information Systems Abstracts
Electronics & Communications Abstracts
Technology Research Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Technology Research Database
Computer and Information Systems Abstracts – Academic
Electronics & Communications Abstracts
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts Professional
DatabaseTitleList
Technology Research Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Applied Sciences
EISSN 1873-2836
EndPage 547
ExternalDocumentID 26818447
10_1016_j_automatica_2012_11_037
S0005109812005730
GrantInformation_xml – fundername: CONICYT
  grantid: FONDECYT 1110646; Anillo ACT53
GroupedDBID --K
--M
-~X
.DC
.~1
0R~
1B1
1~.
1~5
23N
3R3
4.4
457
4G.
5GY
5VS
6TJ
7-5
71M
8P~
9JN
9JO
AAAKF
AAAKG
AABNK
AACTN
AAEDT
AAEDW
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AARIN
AAXUO
ABDEX
ABFNM
ABFRF
ABJNI
ABMAC
ABUCO
ABXDB
ABYKQ
ACBEA
ACDAQ
ACGFO
ACGFS
ACNNM
ACRLP
ADBBV
ADEZE
ADIYS
ADMUD
ADTZH
AEBSH
AECPX
AEFWE
AEKER
AENEX
AFFNX
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AHJVU
AHPGS
AI.
AIEXJ
AIKHN
AITUG
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
APLSM
ASPBG
AVWKF
AXJTR
AZFZN
BJAXD
BKOJK
BLXMC
CS3
EBS
EFJIC
EFLBG
EJD
EO8
EO9
EP2
EP3
F5P
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-2
G-Q
GBLVA
HAMUX
HLZ
HVGLF
HZ~
H~9
IHE
J1W
JJJVA
K-O
KOM
LG9
LY7
M41
MO0
N9A
O-L
O9-
OAUVE
OZT
P-8
P-9
P2P
PC.
Q38
R2-
RIG
ROL
RPZ
RXW
SBC
SDF
SDG
SDP
SES
SET
SEW
SPC
SPCBC
SSB
SSD
SST
SSZ
T5K
T9H
TAE
TN5
VH1
WH7
WUQ
X6Y
XFK
XPP
ZMT
~G-
AATTM
AAXKI
AAYWO
AAYXX
ABWVN
ACRPL
ACVFH
ADCNI
ADNMO
AEIPS
AEUPX
AFJKZ
AFPUW
AFXIZ
AGCQF
AGQPQ
AGRNS
AIGII
AIIUN
AKBMS
AKRWK
AKYEP
ANKPU
APXCP
BNPGV
CITATION
SSH
EFKBS
IQODW
7SC
7SP
8FD
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c431t-48fc4a51c199547c7ad5f74c8335215f81e2e370dc313102a6e240cb32af1a9a3
IEDL.DBID .~1
ISSN 0005-1098
IngestDate Thu Jul 10 22:27:09 EDT 2025
Mon Jul 21 09:17:31 EDT 2025
Tue Jul 01 00:43:18 EDT 2025
Thu Apr 24 22:58:48 EDT 2025
Fri Feb 23 02:14:12 EST 2024
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 2
Keywords Signal-to-noise ratio
Erasure channel
Networked control systems
Power constraints
Second moment
Stabilization
Feedback regulation
Distributed system
Stationary condition
Linear time invariant system
Optimal control
Discrete time
Distributed control
Error correcting code
Signal to noise ratio
Language English
License https://www.elsevier.com/tdm/userlicense/1.0
CC BY 4.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c431t-48fc4a51c199547c7ad5f74c8335215f81e2e370dc313102a6e240cb32af1a9a3
Notes ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
OpenAccessLink http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3301113
PQID 1315670362
PQPubID 23500
PageCount 8
ParticipantIDs proquest_miscellaneous_1315670362
pascalfrancis_primary_26818447
crossref_citationtrail_10_1016_j_automatica_2012_11_037
crossref_primary_10_1016_j_automatica_2012_11_037
elsevier_sciencedirect_doi_10_1016_j_automatica_2012_11_037
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2013-02-01
PublicationDateYYYYMMDD 2013-02-01
PublicationDate_xml – month: 02
  year: 2013
  text: 2013-02-01
  day: 01
PublicationDecade 2010
PublicationPlace Kidlington
PublicationPlace_xml – name: Kidlington
PublicationTitle Automatica (Oxford)
PublicationYear 2013
Publisher Elsevier Ltd
Elsevier
Publisher_xml – name: Elsevier Ltd
– name: Elsevier
References Nair, Fagnani, Zampieri, Evans (br000120) 2007; 95
Milan, Italy.
Freudenberg, J.S., Braslavsky, J.H., & Middleton, R.H. (2005). Control over signal-to-noise ratio constrained channels: Stabilization and performance. In
New Orleans, USA.
Braslavsky, Middleton, Freudenberg (br000020) 2007; 52
Freudenberg, J.S., Middleton, R.H., & Braslavsky, J.H. (2007). Stabilization with disturbance attenuation over a Gaussian channel. In
Silva, Pulgar (br000165) 2011; 47
Boston, USA.
Antsaklis, Baillieul (br000005) 2007; 95
Monticello, USA.
Sahai, Mitter (br000135) 2006; 52
Freudenberg, Middleton, Braslavsky (br000070) 2011; 56
Guan, Zhan, Feng (br000080) 2011
Minero, Franceschetti, Dey, Nair (br000110) 2009; 54
ISIT.
Martins, Dahleh (br000095) 2008; 53
Silva, Derpich, Østergaard (br000150) 2011; 56
Tulino, A., Verdú, S., Caire, G., & Shamai, S. (2007). The Gaussian erasure channel. In
Wang (br000190) 1991; 16
You, Xie (br000195) 2011; 56
Braslavsky, J.H., Middleton, R.H., & Freudenberg, J.S. (2004). Feedback stabilization over signal-to-noise ratio constrained channels. In
Middleton, Rojas, Freudenberg, Braslavsky (br000105) 2009; 54
Schenato, Sinopoli, Franceschetti, Poolla, Sastry (br000145) 2007; 95
Li, Y., Tuncel, E., Chen, J., & Su, W. (2009). Optimal tracking performance of discrete-time systems over an additive white noise channel. In
Chen, Middleton (br000035) 2003; 48
Cover, Thomas (br000040) 2006
Tatikonda, Sahai, Mitter (br000180) 2004; 49
Ding, Wang, Guan, Chen (br000050) 2010; 4
Silva, E.I., & Pulgar, S.A. (2011b). On networked control systems closed over digital erasure channels. In
Somekh, O., Simeone, O., Poor, H.V., & Shamai, S. (2008). The two-tap input-erasure Gaussian channel and its application to cellular communications. In
Sahai, A., & Xu, Q. (2004). The anytime reliability of the AWGN+erasure channel with feedback. In
Nair, Evans (br000115) 2004; 43
Silva, Derpich, Østergaard (br000155) 2011; 56
Shanghai, China.
Hespanha, Naghshtabrizi, Xu (br000085) 2007; 95
Freudenberg, Middleton, Solo (br000075) 2010; 55
Sevilla, Spain.
Chen, Hara, Chen (br000030) 2003; 48
Dinkelbach (br000055) 1967
Charalambous, Farhadi (br000025) 2008; 44
Zhou, Doyle, Glover (br000200) 1996
Bakhtiar, Hara (br000010) 2008; 44
Derpich, Silva, Quevedo, Goodwin (br000045) 2008; 56
Matveev, Savkin (br000100) 2009
Rojas, Braslavsky, Middleton (br000130) 2008; 44
Silva, Goodwin, Quevedo (br000160) 2010; 46
Rojas, Braslavsky, Middleton (br000125) 2008; 2
10.1016/j.automatica.2012.11.037_br000065
10.1016/j.automatica.2012.11.037_br000185
You (10.1016/j.automatica.2012.11.037_br000195) 2011; 56
Bakhtiar (10.1016/j.automatica.2012.11.037_br000010) 2008; 44
Charalambous (10.1016/j.automatica.2012.11.037_br000025) 2008; 44
Rojas (10.1016/j.automatica.2012.11.037_br000125) 2008; 2
Sahai (10.1016/j.automatica.2012.11.037_br000135) 2006; 52
Zhou (10.1016/j.automatica.2012.11.037_br000200) 1996
Wang (10.1016/j.automatica.2012.11.037_br000190) 1991; 16
Silva (10.1016/j.automatica.2012.11.037_br000165) 2011; 47
Guan (10.1016/j.automatica.2012.11.037_br000080) 2011
Schenato (10.1016/j.automatica.2012.11.037_br000145) 2007; 95
Nair (10.1016/j.automatica.2012.11.037_br000115) 2004; 43
Dinkelbach (10.1016/j.automatica.2012.11.037_br000055) 1967
10.1016/j.automatica.2012.11.037_br000060
Chen (10.1016/j.automatica.2012.11.037_br000030) 2003; 48
Middleton (10.1016/j.automatica.2012.11.037_br000105) 2009; 54
Rojas (10.1016/j.automatica.2012.11.037_br000130) 2008; 44
10.1016/j.automatica.2012.11.037_br000140
10.1016/j.automatica.2012.11.037_br000175
Chen (10.1016/j.automatica.2012.11.037_br000035) 2003; 48
Silva (10.1016/j.automatica.2012.11.037_br000155) 2011; 56
10.1016/j.automatica.2012.11.037_br000015
Braslavsky (10.1016/j.automatica.2012.11.037_br000020) 2007; 52
Nair (10.1016/j.automatica.2012.11.037_br000120) 2007; 95
Silva (10.1016/j.automatica.2012.11.037_br000150) 2011; 56
Freudenberg (10.1016/j.automatica.2012.11.037_br000070) 2011; 56
Derpich (10.1016/j.automatica.2012.11.037_br000045) 2008; 56
Freudenberg (10.1016/j.automatica.2012.11.037_br000075) 2010; 55
Ding (10.1016/j.automatica.2012.11.037_br000050) 2010; 4
Silva (10.1016/j.automatica.2012.11.037_br000160) 2010; 46
Matveev (10.1016/j.automatica.2012.11.037_br000100) 2009
Hespanha (10.1016/j.automatica.2012.11.037_br000085) 2007; 95
10.1016/j.automatica.2012.11.037_br000090
Minero (10.1016/j.automatica.2012.11.037_br000110) 2009; 54
Cover (10.1016/j.automatica.2012.11.037_br000040) 2006
Martins (10.1016/j.automatica.2012.11.037_br000095) 2008; 53
Tatikonda (10.1016/j.automatica.2012.11.037_br000180) 2004; 49
10.1016/j.automatica.2012.11.037_br000170
Antsaklis (10.1016/j.automatica.2012.11.037_br000005) 2007; 95
References_xml – reference: , ISIT.
– year: 1996
  ident: br000200
  article-title: Robust and optimal control
– volume: 52
  start-page: 3369
  year: 2006
  end-page: 3395
  ident: br000135
  article-title: The necessity and sufficiency of anytime capacity for control over a noisy communication link — part I: scalar systems
  publication-title: IEEE Transactions on Information Theory
– reference: Tulino, A., Verdú, S., Caire, G., & Shamai, S. (2007). The Gaussian erasure channel. In
– reference: , Shanghai, China.
– volume: 56
  start-page: 1968
  year: 2011
  end-page: 1973
  ident: br000150
  article-title: An achievable data-rate region subject to a stationary performance constraint for LTI plants
  publication-title: IEEE Transactions on Automatic Control
– volume: 56
  start-page: 1751
  year: 2011
  end-page: 1765
  ident: br000070
  article-title: Minimum variance control over a Gaussian communication channel
  publication-title: IEEE Transactions on Automatic Control
– reference: . New Orleans, USA.
– volume: 2
  start-page: 595
  year: 2008
  end-page: 605
  ident: br000125
  article-title: Channel signal-to-noise ratio constrained feedback control: performance and robustness
  publication-title: IET Control Theory & Applications
– volume: 47
  start-page: 1729
  year: 2011
  end-page: 1736
  ident: br000165
  article-title: Control of LTI plants over erasure channels
  publication-title: Automatica
– volume: 56
  start-page: 772
  year: 2011
  end-page: 785
  ident: br000195
  article-title: Minimum data rate for mean square stabilizability of linear systems with Markovian packet losses
  publication-title: IEEE Transactions on Automatic Control
– start-page: 492
  year: 1967
  end-page: 498
  ident: br000055
  article-title: On nonlinear fractional programming
  publication-title: Management Science
– volume: 95
  start-page: 163
  year: 2007
  end-page: 187
  ident: br000145
  article-title: Foundations of control and estimation over lossy networks
  publication-title: Proceedings of the IEEE
– reference: . Boston, USA.
– volume: 43
  start-page: 413
  year: 2004
  end-page: 436
  ident: br000115
  article-title: Stabilizability of stochastic linear systems with finite feedback data rates
  publication-title: SIAM Journal on Control and Optimization
– volume: 53
  start-page: 1604
  year: 2008
  end-page: 1615
  ident: br000095
  article-title: Feedback control in the presence of noisy channels: Bode-like fundamental limitations of performance
  publication-title: IEEE Transactions on Automatic Control
– volume: 49
  start-page: 1549
  year: 2004
  end-page: 1561
  ident: br000180
  article-title: Stochastic linear control over a communication channel
  publication-title: IEEE Transactions on Automatic Control
– volume: 48
  start-page: 1320
  year: 2003
  end-page: 1380
  ident: br000030
  article-title: Best tracking and regulation performance under control effort constraint
  publication-title: IEEE Transactions on Automatic Control
– volume: 55
  start-page: 795
  year: 2010
  end-page: 799
  ident: br000075
  article-title: Stabilization and disturbance attenuation over a Gaussian communication channel
  publication-title: IEEE Transactions on Automatic Control
– reference: . Monticello, USA.
– volume: 48
  start-page: 1297
  year: 2003
  ident: br000035
  article-title: Guest editorial new developments and applications in performance limitation of feedback control
  publication-title: IEEE Transactions on Automatic Control
– volume: 56
  start-page: 3871
  year: 2008
  end-page: 3890
  ident: br000045
  article-title: On optimal perfect reconstruction feedback quantizers
  publication-title: IEEE Transactions on Signal Processing
– volume: 46
  start-page: 428
  year: 2010
  end-page: 436
  ident: br000160
  article-title: Control system design subject to SNR constraints
  publication-title: Automatica
– volume: 4
  start-page: 2471
  year: 2010
  end-page: 2478
  ident: br000050
  article-title: Tracking under additive white Gaussian noise effect
  publication-title: IET Control Theory & Applications
– reference: Freudenberg, J.S., Braslavsky, J.H., & Middleton, R.H. (2005). Control over signal-to-noise ratio constrained channels: Stabilization and performance. In
– volume: 95
  start-page: 5
  year: 2007
  end-page: 8
  ident: br000005
  article-title: Special issue on technology of networked control systems
  publication-title: Proceedings of the IEEE
– volume: 54
  start-page: 243
  year: 2009
  end-page: 255
  ident: br000110
  article-title: Data rate theorem for stabilization over time-varying feedback channels
  publication-title: IEEE Transactions on Automatic Control
– volume: 44
  start-page: 659
  year: 2008
  end-page: 670
  ident: br000010
  article-title: regulation performance limitations for SIMO linear time-invariant feedback control systems
  publication-title: Automatica
– reference: Li, Y., Tuncel, E., Chen, J., & Su, W. (2009). Optimal tracking performance of discrete-time systems over an additive white noise channel. In
– reference: Braslavsky, J.H., Middleton, R.H., & Freudenberg, J.S. (2004). Feedback stabilization over signal-to-noise ratio constrained channels. In
– volume: 52
  start-page: 1391
  year: 2007
  end-page: 1403
  ident: br000020
  article-title: Feedback stabilization over signal-to-noise ratio constrained channels
  publication-title: IEEE Transactions on Automatic Control
– volume: 44
  start-page: 3147
  year: 2008
  end-page: 3151
  ident: br000130
  article-title: Fundamental limitations in control over a communication channel
  publication-title: Automatica
– reference: Sahai, A., & Xu, Q. (2004). The anytime reliability of the AWGN+erasure channel with feedback. In
– volume: 44
  start-page: 3181
  year: 2008
  end-page: 3188
  ident: br000025
  article-title: LQG optimality and separation principle for general discrete time partially observed stochastic systems over finite capacity communication channels
  publication-title: Automatica
– year: 2006
  ident: br000040
  article-title: Elements of information theory
– volume: 95
  start-page: 138
  year: 2007
  end-page: 162
  ident: br000085
  article-title: A survey of recent results in networked control systems
  publication-title: Proceedings of the IEEE
– volume: 95
  start-page: 108
  year: 2007
  end-page: 137
  ident: br000120
  article-title: Feedback control under data rate constraints: an overview
  publication-title: Proceedings of the IEEE
– reference: . Milan, Italy.
– reference: . Sevilla, Spain.
– year: 2009
  ident: br000100
  article-title: Estimation and control over communication networks
– volume: 56
  start-page: 1886
  year: 2011
  end-page: 1899
  ident: br000155
  article-title: A framework for control system design subject to average data-rate constraints
  publication-title: IEEE Transactions on Automatic Control
– volume: 54
  start-page: 163
  year: 2009
  end-page: 167
  ident: br000105
  article-title: Feedback stabilization over a first order moving average Gaussian noise channel
  publication-title: IEEE Transactions on Automatic Control
– reference: Freudenberg, J.S., Middleton, R.H., & Braslavsky, J.H. (2007). Stabilization with disturbance attenuation over a Gaussian channel. In
– year: 2011
  ident: br000080
  article-title: Optimal tracking performance of MIMO discrete-time systems with communication constraints
  publication-title: International Journal of Robust and Nonlinear Control
– reference: Silva, E.I., & Pulgar, S.A. (2011b). On networked control systems closed over digital erasure channels. In
– volume: 16
  start-page: 281
  year: 1991
  end-page: 287
  ident: br000190
  article-title: Lipschitz continuity of inner-outer factorization
  publication-title: Systems & Control Letters
– reference: Somekh, O., Simeone, O., Poor, H.V., & Shamai, S. (2008). The two-tap input-erasure Gaussian channel and its application to cellular communications. In
– ident: 10.1016/j.automatica.2012.11.037_br000090
  doi: 10.1109/CDC.2009.5399768
– volume: 95
  start-page: 163
  issue: 1
  year: 2007
  ident: 10.1016/j.automatica.2012.11.037_br000145
  article-title: Foundations of control and estimation over lossy networks
  publication-title: Proceedings of the IEEE
  doi: 10.1109/JPROC.2006.887306
– year: 2009
  ident: 10.1016/j.automatica.2012.11.037_br000100
– volume: 43
  start-page: 413
  issue: 2
  year: 2004
  ident: 10.1016/j.automatica.2012.11.037_br000115
  article-title: Stabilizability of stochastic linear systems with finite feedback data rates
  publication-title: SIAM Journal on Control and Optimization
  doi: 10.1137/S0363012902402116
– year: 1996
  ident: 10.1016/j.automatica.2012.11.037_br000200
– volume: 44
  start-page: 3181
  issue: 12
  year: 2008
  ident: 10.1016/j.automatica.2012.11.037_br000025
  article-title: LQG optimality and separation principle for general discrete time partially observed stochastic systems over finite capacity communication channels
  publication-title: Automatica
  doi: 10.1016/j.automatica.2008.05.021
– volume: 4
  start-page: 2471
  issue: 11
  year: 2010
  ident: 10.1016/j.automatica.2012.11.037_br000050
  article-title: Tracking under additive white Gaussian noise effect
  publication-title: IET Control Theory & Applications
  doi: 10.1049/iet-cta.2009.0449
– volume: 48
  start-page: 1297
  issue: 8
  year: 2003
  ident: 10.1016/j.automatica.2012.11.037_br000035
  article-title: Guest editorial new developments and applications in performance limitation of feedback control
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/TAC.2003.816221
– volume: 95
  start-page: 5
  issue: 1
  year: 2007
  ident: 10.1016/j.automatica.2012.11.037_br000005
  article-title: Special issue on technology of networked control systems
  publication-title: Proceedings of the IEEE
  doi: 10.1109/JPROC.2006.887291
– volume: 56
  start-page: 1751
  issue: 8
  year: 2011
  ident: 10.1016/j.automatica.2012.11.037_br000070
  article-title: Minimum variance control over a Gaussian communication channel
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/TAC.2010.2097831
– volume: 56
  start-page: 3871
  issue: 8
  year: 2008
  ident: 10.1016/j.automatica.2012.11.037_br000045
  article-title: On optimal perfect reconstruction feedback quantizers
  publication-title: IEEE Transactions on Signal Processing
  doi: 10.1109/TSP.2008.925577
– volume: 95
  start-page: 108
  issue: 1
  year: 2007
  ident: 10.1016/j.automatica.2012.11.037_br000120
  article-title: Feedback control under data rate constraints: an overview
  publication-title: Proceedings of the IEEE
  doi: 10.1109/JPROC.2006.887294
– volume: 16
  start-page: 281
  issue: 4
  year: 1991
  ident: 10.1016/j.automatica.2012.11.037_br000190
  article-title: Lipschitz continuity of inner-outer factorization
  publication-title: Systems & Control Letters
  doi: 10.1016/0167-6911(91)90017-9
– volume: 54
  start-page: 243
  issue: 2
  year: 2009
  ident: 10.1016/j.automatica.2012.11.037_br000110
  article-title: Data rate theorem for stabilization over time-varying feedback channels
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/TAC.2008.2010887
– volume: 44
  start-page: 3147
  issue: 12
  year: 2008
  ident: 10.1016/j.automatica.2012.11.037_br000130
  article-title: Fundamental limitations in control over a communication channel
  publication-title: Automatica
  doi: 10.1016/j.automatica.2008.05.014
– volume: 47
  start-page: 1729
  issue: 8
  year: 2011
  ident: 10.1016/j.automatica.2012.11.037_br000165
  article-title: Control of LTI plants over erasure channels
  publication-title: Automatica
  doi: 10.1016/j.automatica.2011.02.050
– ident: 10.1016/j.automatica.2012.11.037_br000185
  doi: 10.1109/ISIT.2007.4557470
– ident: 10.1016/j.automatica.2012.11.037_br000065
  doi: 10.1109/CDC.2007.4434535
– year: 2011
  ident: 10.1016/j.automatica.2012.11.037_br000080
  article-title: Optimal tracking performance of MIMO discrete-time systems with communication constraints
  publication-title: International Journal of Robust and Nonlinear Control
– volume: 56
  start-page: 772
  issue: 4
  year: 2011
  ident: 10.1016/j.automatica.2012.11.037_br000195
  article-title: Minimum data rate for mean square stabilizability of linear systems with Markovian packet losses
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/TAC.2010.2068590
– year: 2006
  ident: 10.1016/j.automatica.2012.11.037_br000040
– ident: 10.1016/j.automatica.2012.11.037_br000170
  doi: 10.3182/20110828-6-IT-1002.02586
– volume: 52
  start-page: 1391
  issue: 8
  year: 2007
  ident: 10.1016/j.automatica.2012.11.037_br000020
  article-title: Feedback stabilization over signal-to-noise ratio constrained channels
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/TAC.2007.902739
– volume: 95
  start-page: 138
  issue: 1
  year: 2007
  ident: 10.1016/j.automatica.2012.11.037_br000085
  article-title: A survey of recent results in networked control systems
  publication-title: Proceedings of the IEEE
  doi: 10.1109/JPROC.2006.887288
– volume: 44
  start-page: 659
  issue: 3
  year: 2008
  ident: 10.1016/j.automatica.2012.11.037_br000010
  article-title: H2 regulation performance limitations for SIMO linear time-invariant feedback control systems
  publication-title: Automatica
  doi: 10.1016/j.automatica.2007.07.002
– volume: 48
  start-page: 1320
  issue: 8
  year: 2003
  ident: 10.1016/j.automatica.2012.11.037_br000030
  article-title: Best tracking and regulation performance under control effort constraint
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/TAC.2003.815012
– volume: 2
  start-page: 595
  issue: 7
  year: 2008
  ident: 10.1016/j.automatica.2012.11.037_br000125
  article-title: Channel signal-to-noise ratio constrained feedback control: performance and robustness
  publication-title: IET Control Theory & Applications
  doi: 10.1049/iet-cta:20070246
– volume: 52
  start-page: 3369
  issue: 8
  year: 2006
  ident: 10.1016/j.automatica.2012.11.037_br000135
  article-title: The necessity and sufficiency of anytime capacity for control over a noisy communication link — part I: scalar systems
  publication-title: IEEE Transactions on Information Theory
  doi: 10.1109/TIT.2006.878169
– volume: 55
  start-page: 795
  issue: 3
  year: 2010
  ident: 10.1016/j.automatica.2012.11.037_br000075
  article-title: Stabilization and disturbance attenuation over a Gaussian communication channel
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/TAC.2010.2040507
– volume: 54
  start-page: 163
  issue: 1
  year: 2009
  ident: 10.1016/j.automatica.2012.11.037_br000105
  article-title: Feedback stabilization over a first order moving average Gaussian noise channel
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/TAC.2008.2007183
– volume: 56
  start-page: 1886
  issue: 8
  year: 2011
  ident: 10.1016/j.automatica.2012.11.037_br000155
  article-title: A framework for control system design subject to average data-rate constraints
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/TAC.2010.2098070
– volume: 56
  start-page: 1968
  issue: 8
  year: 2011
  ident: 10.1016/j.automatica.2012.11.037_br000150
  article-title: An achievable data-rate region subject to a stationary performance constraint for LTI plants
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/TAC.2011.2139430
– ident: 10.1016/j.automatica.2012.11.037_br000060
  doi: 10.1109/CDC.2005.1582153
– ident: 10.1016/j.automatica.2012.11.037_br000015
  doi: 10.23919/ACC.2004.1384626
– ident: 10.1016/j.automatica.2012.11.037_br000140
– ident: 10.1016/j.automatica.2012.11.037_br000175
  doi: 10.1109/ALLERTON.2008.4797561
– volume: 46
  start-page: 428
  issue: 2
  year: 2010
  ident: 10.1016/j.automatica.2012.11.037_br000160
  article-title: Control system design subject to SNR constraints
  publication-title: Automatica
  doi: 10.1016/j.automatica.2009.12.001
– volume: 49
  start-page: 1549
  issue: 9
  year: 2004
  ident: 10.1016/j.automatica.2012.11.037_br000180
  article-title: Stochastic linear control over a communication channel
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/TAC.2004.834430
– volume: 53
  start-page: 1604
  issue: 7
  year: 2008
  ident: 10.1016/j.automatica.2012.11.037_br000095
  article-title: Feedback control in the presence of noisy channels: Bode-like fundamental limitations of performance
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/TAC.2008.929361
– start-page: 492
  year: 1967
  ident: 10.1016/j.automatica.2012.11.037_br000055
  article-title: On nonlinear fractional programming
  publication-title: Management Science
  doi: 10.1287/mnsc.13.7.492
SSID ssj0004182
Score 2.2763155
Snippet This paper studies control problems for discrete-time single-input linear time-invariant plants when controlled over a signal-to-noise ratio (SNR) constrained...
SourceID proquest
pascalfrancis
crossref
elsevier
SourceType Aggregation Database
Index Database
Enrichment Source
Publisher
StartPage 540
SubjectTerms Applied sciences
Channels
Computer science; control theory; systems
Computer systems and distributed systems. User interface
Constraints
Control systems
Control theory
Erasure channel
Exact sciences and technology
Feedback
Focusing
Networked control systems
Power constraints
Power plants
Signal-to-noise ratio
Software
Stabilization
Title Performance limitations for single-input LTI plants controlled over SNR constrained channels with feedback
URI https://dx.doi.org/10.1016/j.automatica.2012.11.037
https://www.proquest.com/docview/1315670362
Volume 49
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8NAEF5KvSgiPrE-ygpeY7ubN55ELPVVRFvobdlsNtAa0mDTq7_dmU1iLXooeMlhYOlmZrozs_nmG0IudRhHoR0yK1COtCDid60IygTLk9z2ZaRlEGCD8_PA64-ch7E7bpDbuhcGYZXV2V-e6ea0riSdSpudfDLBHl90qBAilGH1w7od2evAp68-lzAPhwUlY7hh3AyDCs1TYrzkopgZZlRkIGL8Cvk8cSL63yFqO5dzUFxSTrz4dXibiNTbJTtVKklvyt3ukYbO9snWD4LBAzJ9WfYF0BR7mcoLOgpCircEqbYmWb4o6NPwnuYpgmJohV5PdUwR30nfBq8om5tpEiDEXuEM9kvxDpcmEP4iqd4Pyah3N7ztW9V0BUtB0lBYTpCAeVymsEnb8ZUvYzfxHWW6sJibBExzbfvdWNkMckAuPQ3RX0U2lwmTobSPSDObZfqYUKhZHFfaUZBI5fixDOEBdQhPIpfFcaxaxK8VKlT1prjnVNQYs6lYmkKgKaAyEWCKFmHfK_OSfmONNde1zcSKKwmIEmusbq-Y-ftnuQe5DThYi1zUdhfwV8TvKzLTs8VcgJpcDwnN-Mm_tnBKNrkZuoGgmTPSLD4W-hxSnyJqG99uk42b-8f-4AuDZQaq
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1bS8MwFA5jPqiIeMW7EXytmjS94ZMMZXNziG7gW0jTFKalK677_57Tpk7RB8GXPoSGnuak55Ke7zuEnJsoiSM3Yk6ohXLA4185MaQJjq-4G6jYqDBEgPPD0O-Oxf2L99IinQYLg2WV1vbXNr2y1nbk0q7mZTGZIMYXN1QEHqpi9YO8fQnZqUSbLN30-t3hAh7Jwpo0vCLdjEJb0FOXeal5Oa3IUZGEiPELpPTEpui_e6m1Qs1g7dK66cUP-105pbsNsm6jSXpTC7xJWibfIqtfOAa3yevjAhpAM4Qz1Wd0FAYpHhRkxpnkxbykg1GPFhnWxVBbwJ6ZhGKJJ30ePuHYrGooAYMIF85BXorHuDQFDxgr_bZDxne3o07XsQ0WHA1xQ-mIMAUNeUwjTlsEOlCJlwZCV0As5qUhM9y4wVWiXQZhIFe-gQBAxy5XKVORcndJO5_mZo9QSFuEp9w4TJUWQaIiuEAqwtPYY0mS6H0SNAsqtX1TlDmTTZnZq1yoQqIqIDmRoIp9wj5nFjUDxx_mXDc6k992kwRH8YfZJ9_U_PlY7kN4IwTccNboXcLXiL9YVG6m85mEZfJ85DTjB_8S4ZQsd0cPAznoDfuHZIVXPTiwhuaItMv3uTmGSKiMT-xO_wBzCQlb
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Performance+limitations+for+single-input+LTI+plants+controlled+over+SNR+constrained+channels+with+feedback&rft.jtitle=Automatica+%28Oxford%29&rft.au=Silva%2C+Eduardo+I&rft.au=Pulgar%2C+Sebastian+A&rft.date=2013-02-01&rft.issn=0005-1098&rft.volume=49&rft.issue=2&rft.spage=540&rft.epage=547&rft_id=info:doi/10.1016%2Fj.automatica.2012.11.037&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0005-1098&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0005-1098&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0005-1098&client=summon