Automatica, Vol.48, No.11, 2993-2994, 2012
Comments on "Analytical expression of explicit MPC solution via lattice piecewise-affine function" [Automatica 45 (2009) 910-917]
The simplification conditions for lattice representation of the PWA control law in the explicit MPC suggested in the aforementioned article are shown, by means of a counterexample, not to be sufficient. In view of this, a modified lemma is proposed in this note for ensuring the sufficiency. (c) 2012 Elsevier Ltd. All rights reserved.
Keywords:Explicit model predictive control;Lattice piecewise-affine function;Point location;Multi-parametric program;Canonical representation