On the piecewise linear nature of constrained min-max model predictive control with bounded uncertainties

被引:0
|
作者
Ramirez, DR [1 ]
Camacho, EF [1 ]
机构
[1] Univ Seville, Escuela Super Ingn, Dept Ingn Sistemas & Automat, Seville 41092, Spain
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中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
As shown by the authors in a previous paper, Min-Max MPC with a quadratic criterion, bounded additive uncertainties and a linear prediction model, results in a piecewise linear controller, which can be formulated in explicit form. This paper shows that a Constrained Min-Max MPC with bounded additives uncertainties and a quadratic cost is also a piecewise linear control law. Proofs based on properties of the cost function and the optimization problem are given. The results are illustrated by a simulation example.
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页码:3620 / 3625
页数:6
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