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Explicit Model Predictive Control for Systems with Linear Parameter-Varying State Transition Matrix
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
ETH Zürich, Switzerland.
ETH Zürich, Switzerland.
2008 (English)In: Proceedings of the 17th IFAC World Congress, 2008, 13163-13168 p.Conference paper, Published paper (Refereed)
Abstract [en]

In this paper we propose a closed-loop min-max MPC algorithm based on dynamicprogramming, to compute explicit control laws for systems with a linear parameter-varyingstate transition matrix. This enables the controller to exploit parameter information to improveperformance compared to a standard robust approach where no uncertainty knowledge is used,while keeping the benefits of fast online computations. The off-line computational burden issimilar to what is required for computing explicit control laws for uncertain or nominal LTIsystems. The proposed control strategy is applied to the controlled H´enon map to draw acomparison, in terms of complexity and control performance, with a controller based on apiecewise affine approximation

Place, publisher, year, edition, pages
2008. 13163-13168 p.
Keyword [en]
Control of constrained systems, Linear parameter-varying systems, Optimal control theory
National Category
Engineering and Technology Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-44579DOI: 10.3182/20080706-5-KR-1001.02230Local ID: 77125ISBN: 978-3-902661-00-5 (print)OAI: oai:DiVA.org:liu-44579DiVA: diva2:265441
Conference
17th IFAC World Congress, Seoul, South Korea, July, 2008
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2013-02-23

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Löfberg, Johan

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • 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