Robust cooperative control of dynamically decoupled systems via distributed MPC

In this paper, we design robust distributed model predictive controllers for constrained linear discrete-time systems which are subject to unknown but bounded disturbances and which are coupled with each other both via coupling constraints and a common, cooperative goal. This extends our previous re...

Full description

Saved in:
Bibliographic Details
Published inIFAC Proceedings Volumes Vol. 45; no. 17; pp. 412 - 417
Main Authors Müller, Matthias A., Schürmann, Bastian, Allgöwer, Frank
Format Journal Article
LanguageEnglish
Published 2012
Subjects
Online AccessGet full text
ISSN1474-6670
DOI10.3182/20120823-5-NL-3013.00007

Cover

Abstract In this paper, we design robust distributed model predictive controllers for constrained linear discrete-time systems which are subject to unknown but bounded disturbances and which are coupled with each other both via coupling constraints and a common, cooperative goal. This extends our previous results for nominal systems without disturbances. The proposed algorithm can be used both for the classical control objective of setpoint stabilization, but also for other cooperative tasks such as consensus and synchronization problems. Furthermore, we illustrate our results with a numerical example.
AbstractList In this paper, we design robust distributed model predictive controllers for constrained linear discrete-time systems which are subject to unknown but bounded disturbances and which are coupled with each other both via coupling constraints and a common, cooperative goal. This extends our previous results for nominal systems without disturbances. The proposed algorithm can be used both for the classical control objective of setpoint stabilization, but also for other cooperative tasks such as consensus and synchronization problems. Furthermore, we illustrate our results with a numerical example.
Author Schürmann, Bastian
Müller, Matthias A.
Allgöwer, Frank
Author_xml – sequence: 1
  givenname: Matthias A.
  surname: Müller
  fullname: Müller, Matthias A.
  email: matthias@mueller.fr
– sequence: 2
  givenname: Bastian
  surname: Schürmann
  fullname: Schürmann, Bastian
– sequence: 3
  givenname: Frank
  surname: Allgöwer
  fullname: Allgöwer, Frank
  email: frank.allgower@ist.uni-stuttgart.de
BookMark eNqNkMtKAzEUhrOoYNW-Q15gai6TZGYjaPEGYyui65BJzkBgOilJWpi3d2p140bP5hwO_B_83wWaDWEAhDAlS04rds0IZaRivBDFuik4oXxJplEzNKelKgspFTlHi5R8S5gSlAmh5mjzFtp9ytiGsINosj_AdA85hh6HDrtxMFtvTd-P2IEN-10PDqcxZdgmfPAGO59y9O0-T_-X19UVOutMn2DxvS_Rx8P9--qpaDaPz6vbprCM81yAlKKzVUsq6iiTZUvqSlZUENVJA8yRWomOQF1yw8x0K2c6IWprHVeOtIJfourEtTGkFKHTu-i3Jo6aEn30oX98aKHXjT760F8-pujNr6j1eWp-bG18_x_A3QkAU8GDh6iT9TBYcD6CzdoF_zfkE1sIgEc
CitedBy_id crossref_primary_10_9746_jcmsi_10_39
crossref_primary_10_4236_wjet_2021_91012
crossref_primary_10_1002_oca_2459
Cites_doi 10.1016/j.automatica.2004.08.019
10.1016/S0005-1098(01)00174-1
10.1109/TAC.2009.2031208
10.1109/TAC.2005.843854
10.1109/JPROC.2006.887293
10.1080/00207170701491070
10.1016/j.jprocont.2009.02.003
10.1016/j.automatica.2005.12.008
10.1002/rnc.2826
ContentType Journal Article
Copyright 2012 IFAC
Copyright_xml – notice: 2012 IFAC
DBID AAYXX
CITATION
DOI 10.3182/20120823-5-NL-3013.00007
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
EndPage 417
ExternalDocumentID 10_3182_20120823_5_NL_3013_00007
S147466701631477X
GroupedDBID ALMA_UNASSIGNED_HOLDINGS
OK1
AAYXX
CITATION
ID FETCH-LOGICAL-c233t-e665fc8b081d1264b098681507f6ae2d0975f0e943a2a9757daf559ccd37d0b53
ISSN 1474-6670
IngestDate Thu Apr 24 22:59:13 EDT 2025
Wed Oct 29 21:14:50 EDT 2025
Thu Aug 18 14:43:08 EDT 2022
IsPeerReviewed false
IsScholarly false
Issue 17
Keywords Predictive Control
Distributed Control
Robust Control
Synchronization
Stabilization
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c233t-e665fc8b081d1264b098681507f6ae2d0975f0e943a2a9757daf559ccd37d0b53
PageCount 6
ParticipantIDs crossref_primary_10_3182_20120823_5_NL_3013_00007
crossref_citationtrail_10_3182_20120823_5_NL_3013_00007
elsevier_sciencedirect_doi_10_3182_20120823_5_NL_3013_00007
PublicationCentury 2000
PublicationDate 2012
2012-00-00
PublicationDateYYYYMMDD 2012-01-01
PublicationDate_xml – year: 2012
  text: 2012
PublicationDecade 2010
PublicationTitle IFAC Proceedings Volumes
PublicationYear 2012
References Scattolini (bib0133) 2009; 19
Dunbar, Murray (bib0120) 2006; 42
Rawlings, Mayne (bib0131) 2011
Godsil, Royle (bib0122) 2001
Johansson, Speranzon, Johansson, Johansson (bib0123) 2006
Rawlings, Mayne (bib0130) 2009
Müller, Reble, Allgöwer (bib0126) 2012
Mayne, Seron, Rakovic (bib0125) 2005; 41
Raković, Kerrigan, Kouramas, Mayne (bib0129) 2005; 50
Richards, How (bib0132) 2007; 80
Ferrari-Trecate, Galbusera, Marciandi, Scattolini (bib0121) 2009; 54
Müller, Schürmann, Allgöwer (bib0127) 2012
Keviczky, Johansson (bib0124) 2008
Bemporad, Morari, Dua, Pistikopoulos (bib0119) 2002; 28
Olfati-Saber, Fax, Murray (bib0128) 2007; 95
Rawlings (10.3182/20120823-5-NL-3013.00007_bib0131) 2011
Bemporad (10.3182/20120823-5-NL-3013.00007_bib0119) 2002; 28
Keviczky (10.3182/20120823-5-NL-3013.00007_bib0124) 2008
Raković (10.3182/20120823-5-NL-3013.00007_bib0129) 2005; 50
Dunbar (10.3182/20120823-5-NL-3013.00007_bib0120) 2006; 42
Johansson (10.3182/20120823-5-NL-3013.00007_bib0123) 2006
Müller (10.3182/20120823-5-NL-3013.00007_bib0127) 2012
Scattolini (10.3182/20120823-5-NL-3013.00007_bib0133) 2009; 19
Ferrari-Trecate (10.3182/20120823-5-NL-3013.00007_bib0121) 2009; 54
Müller (10.3182/20120823-5-NL-3013.00007_bib0126) 2012
Godsil (10.3182/20120823-5-NL-3013.00007_bib0122) 2001
Mayne (10.3182/20120823-5-NL-3013.00007_bib0125) 2005; 41
Richards (10.3182/20120823-5-NL-3013.00007_bib0132) 2007; 80
Olfati-Saber (10.3182/20120823-5-NL-3013.00007_bib0128) 2007; 95
Rawlings (10.3182/20120823-5-NL-3013.00007_bib0130) 2009
References_xml – volume: 50
  start-page: 406
  year: 2005
  end-page: 410
  ident: bib0129
  article-title: Invariant approximations of the minimal robust positively invariant set
  publication-title: IEEE Transactions on Automatic Control
– volume: 19
  start-page: 723
  year: 2009
  end-page: 731
  ident: bib0133
  article-title: Architectures for distributed and hierarchical model predictive control - a review
  publication-title: Journal of Process Control
– year: 2009
  ident: bib0130
  publication-title: Model Predictive Control: Theory and Design
– volume: 80
  start-page: 1517
  year: 2007
  end-page: 1531
  ident: bib0132
  article-title: Robust distributed model predictive control
  publication-title: International Journal of Control
– start-page: 1516
  year: 2008
  end-page: 1521
  ident: bib0124
  article-title: A study on distributed model predictive consensus
  publication-title: Proceedings of the 17th IFAC World Congress
– volume: 95
  start-page: 215
  year: 2007
  end-page: 233
  ident: bib0128
  article-title: Consensus and cooperation in networked multi-agent systems
  publication-title: Proceedings of the IEEE
– volume: 28
  start-page: 3
  year: 2002
  end-page: 20
  ident: bib0119
  article-title: The explicit linear quadratic regulator for constrained systems
  publication-title: Automatica
– year: 2011
  ident: bib0131
  publication-title: Postface to “Model Predictive Control: Theory and Design”
– start-page: 2438
  year: 2006
  end-page: 2444
  ident: bib0123
  article-title: Distributed model predictive consensus
  publication-title: Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems
– volume: 41
  start-page: 219
  year: 2005
  end-page: 224
  ident: bib0125
  article-title: Robust model predictive control of constrained linear systems with bounded disturbances
  publication-title: Automatica
– volume: 42
  start-page: 549
  year: 2006
  end-page: 558
  ident: bib0120
  article-title: Distributed receding horizon control for multi-vehicle formation stabilization
  publication-title: Automatica
– year: 2012
  ident: bib0126
  article-title: Cooperative control of dynamically decoupled systems via distributed model predictive control
  publication-title: International Journal of Robust and Nonlinear Control
– year: 2001
  ident: bib0122
  publication-title: Algebraic Graph Theory
– year: 2012
  ident: bib0127
  publication-title: Robust cooperative control of dynamically decoupled systems via distributed model predictive control
– volume: 54
  start-page: 2560
  year: 2009
  end-page: 2572
  ident: bib0121
  article-title: Model predictive control schemes for consensus in multi-agent systems with single- and double-integrator dynamics
  publication-title: IEEE Transactions on Automatic Control
– year: 2012
  ident: 10.3182/20120823-5-NL-3013.00007_bib0127
  publication-title: Robust cooperative control of dynamically decoupled systems via distributed model predictive control
– year: 2001
  ident: 10.3182/20120823-5-NL-3013.00007_bib0122
– volume: 41
  start-page: 219
  year: 2005
  ident: 10.3182/20120823-5-NL-3013.00007_bib0125
  article-title: Robust model predictive control of constrained linear systems with bounded disturbances
  publication-title: Automatica
  doi: 10.1016/j.automatica.2004.08.019
– volume: 28
  start-page: 3
  year: 2002
  ident: 10.3182/20120823-5-NL-3013.00007_bib0119
  article-title: The explicit linear quadratic regulator for constrained systems
  publication-title: Automatica
  doi: 10.1016/S0005-1098(01)00174-1
– volume: 54
  start-page: 2560
  issue: 11
  year: 2009
  ident: 10.3182/20120823-5-NL-3013.00007_bib0121
  article-title: Model predictive control schemes for consensus in multi-agent systems with single- and double-integrator dynamics
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/TAC.2009.2031208
– start-page: 1516
  year: 2008
  ident: 10.3182/20120823-5-NL-3013.00007_bib0124
  article-title: A study on distributed model predictive consensus
  publication-title: Proceedings of the 17th IFAC World Congress
– year: 2011
  ident: 10.3182/20120823-5-NL-3013.00007_bib0131
  publication-title: Postface to “Model Predictive Control: Theory and Design”
– volume: 50
  start-page: 406
  issue: 3
  year: 2005
  ident: 10.3182/20120823-5-NL-3013.00007_bib0129
  article-title: Invariant approximations of the minimal robust positively invariant set
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/TAC.2005.843854
– volume: 95
  start-page: 215
  issue: 1
  year: 2007
  ident: 10.3182/20120823-5-NL-3013.00007_bib0128
  article-title: Consensus and cooperation in networked multi-agent systems
  publication-title: Proceedings of the IEEE
  doi: 10.1109/JPROC.2006.887293
– volume: 80
  start-page: 1517
  issue: 9
  year: 2007
  ident: 10.3182/20120823-5-NL-3013.00007_bib0132
  article-title: Robust distributed model predictive control
  publication-title: International Journal of Control
  doi: 10.1080/00207170701491070
– year: 2009
  ident: 10.3182/20120823-5-NL-3013.00007_bib0130
– volume: 19
  start-page: 723
  year: 2009
  ident: 10.3182/20120823-5-NL-3013.00007_bib0133
  article-title: Architectures for distributed and hierarchical model predictive control - a review
  publication-title: Journal of Process Control
  doi: 10.1016/j.jprocont.2009.02.003
– volume: 42
  start-page: 549
  year: 2006
  ident: 10.3182/20120823-5-NL-3013.00007_bib0120
  article-title: Distributed receding horizon control for multi-vehicle formation stabilization
  publication-title: Automatica
  doi: 10.1016/j.automatica.2005.12.008
– year: 2012
  ident: 10.3182/20120823-5-NL-3013.00007_bib0126
  article-title: Cooperative control of dynamically decoupled systems via distributed model predictive control
  publication-title: International Journal of Robust and Nonlinear Control
  doi: 10.1002/rnc.2826
– start-page: 2438
  year: 2006
  ident: 10.3182/20120823-5-NL-3013.00007_bib0123
  article-title: Distributed model predictive consensus
  publication-title: Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems
SSID ssib027512557
ssib036250806
ssib001723113
ssib001723112
ssib046627245
ssib028086724
Score 1.4960115
Snippet In this paper, we design robust distributed model predictive controllers for constrained linear discrete-time systems which are subject to unknown but bounded...
SourceID crossref
elsevier
SourceType Enrichment Source
Index Database
Publisher
StartPage 412
SubjectTerms Distributed Control
Predictive Control
Robust Control
Stabilization
Synchronization
Title Robust cooperative control of dynamically decoupled systems via distributed MPC
URI https://dx.doi.org/10.3182/20120823-5-NL-3013.00007
Volume 45
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAFT
  databaseName: Open Access Digital Library
  issn: 1474-6670
  databaseCode: KQ8
  dateStart: 20020101
  customDbUrl:
  isFulltext: true
  dateEnd: 20141231
  titleUrlDefault: http://grweb.coalliance.org/oadl/oadl.html
  omitProxy: true
  ssIdentifier: ssib027512557
  providerName: Colorado Alliance of Research Libraries
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1Lj9MwELZguXBBIEAsL_nALfKSOLGdaE-lYrWgbXntot4iO3ZgpaipaLoIfj1jOw8filjgEiVunCYzn8afPZ4ZhF7wXNJUU0Fq0DbJEsUIDIKMGCmB_lOjtbABzoslP73I3q7YaiqX6qJLOnVU_dwbV_IvWoU20KuNkv0LzY4PhQY4B_3CETQMx2vp-GOrdtsuqtp2Y_oM3sPWc-CA2hebl03zI9Iwy9xtGmCXPnXzNrq6lNY74wteQfvi_Twkqm9OZnMfReBGt2302ZmxkYEvrIf91XwIJHRlwy_lNpodTa6dr_4eG5bgi8JLZ09GjDXNF3cH_-4f4grIh8sQSbAmmWQiI5z7-h-DUfU5IgfwiMBEZn1f01-JfYYcLI1NDGv_yLoCCSPLMwK2KHX5JsU0eI1bCj_Z17BvAQQTTsXqJrpF7RqNddR_CDyDAhhtQOn89WijqAAGxCZPMM1hziemjPYw3gOlnTzTmU2gT10t7FEOfsOY_YSXv_uA_SwoYDbnd9GdfkqCZx5f99ANs76P3nls4QBbuMcWbmscYAuP2MI9tjBgCwfYwoCtB-ji5PX5_JT0xTdIRdO0I4Zzu71PAWXUCbBmFRc5z-30oebSUB0XgtWxKbJUUgnnQssaZqdVpVOhY8XSh-hg3a7NI4SpZLrINZNSqqyOM6ULxnLFRZrpWtbmEIlBGGXVZ6a3BVKaEmaoVozlIMaSlcuz0oqxdGI8RMnYc-Ozs1yjz_Eg77JnmZ49loC9P_Z-_F-9n6Db9ie_hPcUHXTfduYZkNpOPXco_QUcBo9m
linkProvider Colorado Alliance of Research Libraries
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=Robust+cooperative+control+of+dynamically+decoupled+systems+via+distributed+MPC&rft.jtitle=IFAC+Proceedings+Volumes&rft.au=M%C3%BCller%2C+Matthias+A.&rft.au=Sch%C3%BCrmann%2C+Bastian&rft.au=Allg%C3%B6wer%2C+Frank&rft.date=2012&rft.issn=1474-6670&rft.volume=45&rft.issue=17&rft.spage=412&rft.epage=417&rft_id=info:doi/10.3182%2F20120823-5-NL-3013.00007&rft.externalDocID=S147466701631477X
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1474-6670&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1474-6670&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1474-6670&client=summon