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Stabilizing Polynomial Approximation of Explicit MPC
Slovak Technical University of Bratislava, Slovakia.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Slovak Technical University of Bratislava, Slovakia.
2011 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 47, no 10, 2292-2297 p.Article in journal (Refereed) Published
Abstract [en]

A given explicit piecewise affine representation of an MPC feedback law is approximated by a single polynomial, computed using linear programming. This polynomial state feedback control law guarantees closed-loop stability and constraint satisfaction. The polynomial feedback can be implemented in real time even on very simple devices with severe limitations on memory storage.

Place, publisher, year, edition, pages
Elsevier, 2011. Vol. 47, no 10, 2292-2297 p.
Keyword [en]
Asymptotic stability, Predictive control, Function approximation
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-71641DOI: 10.1016/j.automatica.2011.08.023ISI: 000295446400019OAI: oai:DiVA.org:liu-71641DiVA: diva2:451825
Note

Funding Agencies|Scientific Grant Agency of the Slovak Republic|1/0079/091/0095/11|Slovak Research and Development Agency|W-0029-07LPP-0092-07|

Available from: 2011-10-27 Created: 2011-10-27 Last updated: 2017-12-08

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