A Model Predictive Control Approach for Stochastic Networked Control Systems
In this paper we present a stochastic model predictive control (SMPC) approach for networked control systems (NCSs) that are subject to time-varying sampling intervals and time-varying transmission delays. These network-induced uncertain parameters are assumed to be described by random processes, ha...
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Published in | IFAC Proceedings Volumes Vol. 43; no. 19; pp. 7 - 12 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
2010
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Online Access | Get full text |
ISSN | 1474-6670 |
DOI | 10.3182/20100913-2-FR-4014.00007 |
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Abstract | In this paper we present a stochastic model predictive control (SMPC) approach for networked control systems (NCSs) that are subject to time-varying sampling intervals and time-varying transmission delays. These network-induced uncertain parameters are assumed to be described by random processes, having a bounded support and an arbitrary continuous probability density function. Assuming that the controlled plant can be modeled as a linear system, we present a SMPC formulation based on scenario enumeration and quadratic programming that optimizes a stochastic performance index and provides closed-loop stability in the mean-square sense. Simulation results are shown to demonstrate the performance of the proposed approach. |
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AbstractList | In this paper we present a stochastic model predictive control (SMPC) approach for networked control systems (NCSs) that are subject to time-varying sampling intervals and time-varying transmission delays. These network-induced uncertain parameters are assumed to be described by random processes, having a bounded support and an arbitrary continuous probability density function. Assuming that the controlled plant can be modeled as a linear system, we present a SMPC formulation based on scenario enumeration and quadratic programming that optimizes a stochastic performance index and provides closed-loop stability in the mean-square sense. Simulation results are shown to demonstrate the performance of the proposed approach. |
Author | Heemels, W.P.M.H. Bernardini, D. Bemporad, A. Donkers, M.C.F. |
Author_xml | – sequence: 1 givenname: D. surname: Bernardini fullname: Bernardini, D. email: bernardini@dii.unisi.it organization: Department of Information Engineering, University of Siena, Italy – sequence: 2 givenname: M.C.F. surname: Donkers fullname: Donkers, M.C.F. email: m.c.f.donkers@tue.nl organization: Department of Mechanical Engineering, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, the Netherlands – sequence: 3 givenname: A. surname: Bemporad fullname: Bemporad, A. email: bemporad@ing.unitn.it organization: Department of Mechanical Engineering, University of Trento, Italy – sequence: 4 givenname: W.P.M.H. surname: Heemels fullname: Heemels, W.P.M.H. email: m.heemels@tue.nl organization: Department of Mechanical Engineering, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, the Netherlands |
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Cites_doi | 10.1080/07362998308809005 10.1109/37.898794 10.1109/TAC.2004.834107 10.1109/TAC.2005.844177 10.1109/TAC.2009.2015543 10.1016/j.automatica.2006.07.006 10.1109/JPROC.2006.887291 10.1109/JPROC.2006.887288 |
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References | Antsaklis, Baillieul (bib1) 2007; 95 Morozan (bib11) 1983; 1 Hespanha, Naghshtabrizi, Xu (bib9) 2007 Zhang, Branicky, Phillips (bib14) 2001; 21 Donkers, Heemels, Bernardini, Bemporad, Shneer (bib7) 2010 Montestruque, Antsaklis (bib10) 2004 Heemels, van de Wouw, Gielen, Donkers, Hetel, Olaru, Lazar, Daafouz, Niculescu (bib8) 2010 Seiler, Sengupta (bib13) 2005 Antunes, Hespanha, Silvestre (bib2) 2009 Cloosterman, van de Wouw, Heemels, Nijmeijer (bib5) 2009 Couchman, Cannon, Kouvaritakis (bib6) 2006; 42 (bib3) 2010 Primbs (bib12) 2007 Bernardini, Bemporad (bib4) 2009 Montestruque (10.3182/20100913-2-FR-4014.00007_bib10) 2004 Cloosterman (10.3182/20100913-2-FR-4014.00007_bib5) 2009 Antsaklis (10.3182/20100913-2-FR-4014.00007_bib1) 2007; 95 Couchman (10.3182/20100913-2-FR-4014.00007_bib6) 2006; 42 Primbs (10.3182/20100913-2-FR-4014.00007_bib12) 2007 Antunes (10.3182/20100913-2-FR-4014.00007_bib2) 2009 Seiler (10.3182/20100913-2-FR-4014.00007_bib13) 2005 Donkers (10.3182/20100913-2-FR-4014.00007_bib7) 2010 Heemels (10.3182/20100913-2-FR-4014.00007_bib8) 2010 Morozan (10.3182/20100913-2-FR-4014.00007_bib11) 1983; 1 Bernardini (10.3182/20100913-2-FR-4014.00007_bib4) 2009 Hespanha (10.3182/20100913-2-FR-4014.00007_bib9) 2007 (10.3182/20100913-2-FR-4014.00007_bib3) 2010 Zhang (10.3182/20100913-2-FR-4014.00007_bib14) 2001; 21 |
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