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
来源：
PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 2003年
关键词：
D O I：
暂无
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.
引用
下载
收藏
页码：3620 / 3625
页数：6
相关论文
共 50 条
  • [11] Performance Bounds for Constrained Linear Min-Max Control
    Summers, Tyler H.
    Goulart, Paul J.
    2013 EUROPEAN CONTROL CONFERENCE (ECC), 2013, : 185 - 190
  • [12] Min-Max Economic Model Predictive Control
    Marquez, Alejandro
    Patino, Julian
    Espinosa, Jairo
    2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 4410 - 4415
  • [13] Robust min-max model predictive control of linear systems with constraints
    Zeman, J
    Rohal'-Ilkiv, B
    2003 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL TECHNOLOGY, VOLS 1 AND 2, PROCEEDINGS, 2003, : 930 - 935
  • [14] Min-max constrained quasi-infinite horizon model predictive control using linear programming
    Megías, D
    Serrano, J
    de Prada, C
    JOURNAL OF PROCESS CONTROL, 2002, 12 (04) : 495 - 505
  • [15] Min-max piecewise constant optimal control for multi-model linear systems
    Miranda, Felix A.
    Castanos, Fernando
    Poznyak, Alexander
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2016, 33 (04) : 1157 - 1176
  • [16] The Explicit Constrained Min-Max Model Predictive Control of a Discrete-Time Linear System With Uncertain Disturbances
    Gao, Yu
    Chong, Kil To
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (09) : 2373 - 2378
  • [17] Robust dynamic programming for min-max model predictive control of constrained uncertain systems
    Diehl, M
    Björnberg, J
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (12) : 2253 - 2257
  • [18] Min-max model predictive control as a quadratic program
    de la Pena, D. Munoz
    Alamo, T.
    Ramirez, D. R.
    Camacho, E. F.
    IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (01): : 328 - 333
  • [19] Min-Max Model Predictive Control of a pilot plant
    Gruber, J. K.
    Ramirez, D. R.
    Alamo, T.
    Bordons, C.
    Camacho, E. F.
    2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2008, : 1115 - 1120
  • [20] Min-max coalitional model predictive control algorithm
    Maxim, Anca
    Maestre, Jose M.
    Caruntu, Constantin F.
    Lazar, Corneliu
    2019 22ND INTERNATIONAL CONFERENCE ON CONTROL SYSTEMS AND COMPUTER SCIENCE (CSCS), 2019, : 24 - 29
12345