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Minimax MPC for Systems with Uncertain Input Gain - Revisited
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2001 (English)Report (Other academic)
Abstract [en]

Robust synthesis is one of the remaining challenges in model predictive control (MPC). One way to robustify an MPC controller is to formulate a minimax problem, i.e., optimize a worst-case performance measure. For systems modeled with an uncertain gain, there are many results available. Typically, the minimax formulations have given intractable problems, or unorthodox performance measures have been used to obtain tractable problems. In this paper, we show how the standard quadratic performance measure can be used in a computationally tractable minimax MPC controller. The controller is developed in a linear matrix inequality framework that easily allows extensions and generalizations.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2001. , 16 p.
LiTH-ISY-R, ISSN 1400-3902 ; 2367
Keyword [en]
MPC, Minimax, Robust control, LMI
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-55795ISRN: LiTH-ISY-R-2367OAI: diva2:316537
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-09-08Bibliographically approved

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Löfberg, Johan
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Automatic ControlThe Institute of Technology
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