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Stabilizing Polynomial Approximation of Explicit MPC

Kvasnica, Michal (author)
Slovak Technical University of Bratislava, Slovakia
Löfberg, Johan, 1974- (author)
Linköpings universitet,Reglerteknik,Tekniska högskolan
Fikar, Miroslav (author)
Slovak Technical University of Bratislava, Slovakia
 (creator_code:org_t)
Elsevier, 2011
2011
English.
In: Automatica. - : Elsevier. - 0005-1098 .- 1873-2836. ; 47:10, s. 2292-2297
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • 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.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Keyword

Asymptotic stability
Predictive control
Function approximation
Automatic control
Reglerteknik

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Kvasnica, Michal
Löfberg, Johan, ...
Fikar, Miroslav
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Automatica
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Linköping University

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