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Stability analysis of Model Predictive Controllers using Mixed Integer Linear Programming
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering.
2016 (English)In: Proceedings of the 55th IEEE Conference on Decision and Control, 2016Conference paper, (Refereed)
Abstract [en]

It is a well known fact that finite time optimal controllers, such as MPC do not necessarily result in closed loop stable systems. Within the MPC community it is common practice to add a final state constraint and/or a final state penalty in order to obtain guaranteed stability. However, for more advanced controller structures it can be difficult to show stability using these techniques. Additionally in some cases the final state constraint set consists of so many inequalities that the complexity of the MPC problem is too big for use in certain fast and time critical applications. In this paper we instead focus on deriving a tool for a-postiori analysis of the closed loop stability for linear systems controlled with MPC controllers. We formulate an optimisation problem that gives a sufficient condition for stability of the closed loop system and we show that the problem can be written as a Mixed Integer Linear Programming Problem (MILP).

Place, publisher, year, edition, pages
2016.
Series
IEEE Conference on Decision and Control, ISSN 0743-1546
Keyword [en]
Model Predictive Control
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-134245DOI: 10.1109/CDC.2016.7799391ISI: 000400048107077ISBN: 978-1-5090-1837-6 (print)OAI: oai:DiVA.org:liu-134245DiVA: diva2:1069607
Conference
55th IEEE Conference on Decision and Control, Las Vegas, USA, december 12-14, 2016
Funder
VINNOVA, 2013-01226
Note

Funding agencies: Swedish Governmental Agency for Innovation Systems (VINNOVA); Centrum for indnstriell informationsteknologi (CENIIT)

Available from: 2017-01-30 Created: 2017-01-30 Last updated: 2017-06-13Bibliographically approved

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The full text will be freely available from 2017-12-14 16:42
Available from 2017-12-14 16:42

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf