Piecewise affinity of min-max MPC with bounded additive uncertainties and a quadratic criterion

被引：19
|
作者：
Ramirez, DR [1 ]
Camacho, EF [1 ]
机构：
[1] Univ Seville, Dept Ingn Sistemas & Automat, Escuela Super Ingn, Seville 41092, Spain
来源：
AUTOMATICA | 2006年 / 42卷 / 02期
关键词：
min-max MPC algorithm; predictive control; min-max optimization; piecewise linear controllers; uncertainty;
D O I：
10.1016/j.automatica.2005.09.009
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This brief shows how a min-max MPC with bounded additive uncertainties and a quadratic cost function results in a piecewise affine and continuous control law. Proofs based on properties of the cost function and the optimization problem are given. The boundaries of the regions in which the state space can be partitioned are also treated. The results are illustrated by an example. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：295 / 302
页数：8
相关论文
共 50 条
  • [21] Comments on "A feedback min-max MPC algorithm for LPV systems subject to bounded rates of change of parameters"
    Ding, Bao-cang
    Huang, Biao
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (05) : 970 - 970
  • [22] Application of an explicit min-max MPC to a scaled laboratory process
    de la Peña, DM
    Ramírez, DR
    Camacho, EF
    Alamo, T
    [J]. CONTROL ENGINEERING PRACTICE, 2005, 13 (12) : 1463 - 1471
  • [23] Min-max model predictive control as a quadratic program
    de la Pena, D. Munoz
    Alamo, T.
    Ramirez, D. R.
    Camacho, E. F.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (01): : 328 - 333
  • [24] An efficient offline implementation for output feedback min-max MPC
    Hu, Jianchen
    Ding, Baocang
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (02) : 492 - 506
  • [25] Efficient implementation of constrained min-max model predictive control with bounded uncertainties:: a vertex rejection approach
    Alamo, T
    Ramírez, DR
    Camacho, EF
    [J]. JOURNAL OF PROCESS CONTROL, 2005, 15 (02) : 149 - 158
  • [26] Min-max economic MPC of networked control systems with transmission delays
    Mao, Yawen
    Liu, Su
    Decardi-Nelson, Benjamin
    Liu, Jinfeng
    [J]. 2019 AMERICAN CONTROL CONFERENCE (ACC), 2019, : 1164 - 1169
  • [27] On global quadratic growth condition for min-max optimization problems with quadratic functions
    Chen, Zhangyou
    Yang, Xiaoqi
    [J]. APPLICABLE ANALYSIS, 2015, 94 (01) : 144 - 152
  • [28] Min-max MPC algorithm for LPV systems subject to input saturation
    Cao, YY
    Lin, ZL
    [J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2005, 152 (03): : 266 - 272
  • [29] Nonconvex min-max fractional quadratic problems under quadratic constraints: copositive relaxations
    Amaral, Paula Alexandra
    Bomze, Immanuel M.
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2019, 75 (02) : 227 - 245
  • [30] Efficient min-max MPC: Achieving a large domain of attraction with short horizon
    Nguyen, Hoai-Nam
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2023, 33 (12) : 7020 - 7044
12345