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
收藏
页码：3620 / 3625
页数：6
相关论文
共 50 条
  • [41] Multi-model LQ-constrained min-max control
    Garcia, Pablo
    Poznyak, Alexander
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2016, 37 (02): : 359 - 380
  • [42] Self-triggered adaptive model predictive control of constrained nonlinear systems: A min-max approach
    Zhang, Kunwu
    Liu, Changxin
    Shi, Yang
    AUTOMATICA, 2022, 142
  • [43] Min-max control of constrained uncertain discrete-time linear systems
    Bemporad, A
    Borrelli, F
    Morari, M
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (09) : 1600 - 1606
  • [44] Robust Constrained Model Predictive Control of Piecewise Linear Systems with Bounded Additive Disturbances
    Zou, Yuanyuan
    Li, Shaoyuan
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 6339 - 6344
  • [45] A min-max model predictive control for a class of hybrid dynamical systems
    Mukai, M
    Azuma, T
    Kojima, A
    Fujita, M
    2003 IEEE INTERNATIONAL SYMPOSIUM ON COMPUTATIONAL INTELLIGENCE IN ROBOTICS AND AUTOMATION, VOLS I-III, PROCEEDINGS, 2003, : 694 - 699
  • [46] Min-max Model Predictive Control for Biaxial Feed Drive System
    Gao, Yu
    Zhang, Yuanliang
    Chong, Kil To
    2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, : 769 - 773
  • [47] Min-max Economic Model Predictive Control Approaches with Guaranteed Performance
    Bayer, Florian A.
    Mueller, Matthias A.
    Allgoewer, Frank
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 3210 - 3215
  • [48] Towards the practical implementation of min-max nonlinear model predictive control
    Raimondo, D. M.
    Alamo, T.
    Limon, D.
    Camacho, E. F.
    PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 5965 - +
  • [49] Linearized min-max robust model predictive control: Application to the control of a bioprocess
    Benattia, S. E.
    Tebbani, S.
    Dumur, D.
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (01) : 100 - 120
  • [50] Explicit solution of min-max model predictive control for uncertain systems
    Gao, Yu
    Sun, Li Ning
    IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (04): : 461 - 468
12345