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...
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| Published in | IFAC Proceedings Volumes Vol. 45; no. 17; pp. 412 - 417 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
2012
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1474-6670 |
| DOI | 10.3182/20120823-5-NL-3013.00007 |
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| 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. |
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| 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 |
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| 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 |
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| Keywords | Predictive Control Distributed Control Robust Control Synchronization Stabilization |
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| 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 |
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| SubjectTerms | Distributed Control Predictive Control Robust Control Stabilization Synchronization |
| Title | Robust cooperative control of dynamically decoupled systems via distributed MPC |
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