Model Predictive Control --- Numerical Methods for the Invariant Sets Approximation

Authors:
H. Benlaoukli;S. Olaru
Affiliations:
Automatic Control Department, SUPELEC, Gif sur Yvette, France 91192;Automatic Control Department, SUPELEC, Gif sur Yvette, France 91192
Venue:
Numerical Analysis and Its Applications
Year:
2009

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Abstract

This paper deals with the computational issues encountered in the construction of invariant sets for LTI (Linear Time Invariant) systems subject to linear constraints. Three algorithms to compute or approximate the invariant set are presented. Two of theme are based on expansive and contractive strategy, while the third one uses the transition graph over the partition of the closed loop piecewise affine system.