Application of an explicit min-max MPC to a scaled laboratory process

被引：17
|
作者：
de la Peña, DM [1 ]
Ramírez, DR [1 ]
Camacho, EF [1 ]
Alamo, T [1 ]
机构：
[1] Univ Seville, Escuela Super Ingn, Dept Ingn Sistemas & Automat, Seville 41092, Spain
来源：
CONTROL ENGINEERING PRACTICE | 2005年 / 13卷 / 12期
关键词：
predictive control; minimax techniques; multi-parametric programming; piecewise linear controllers; uncertainty;
D O I：
10.1016/j.conengprac.2004.12.008
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Min-max model predictive control (MMMPC) requires the on-line solution of a min-max problem, which can be computationally demanding. The piecewise affine nature of MMMPC has been proved for linear systems with quadratic performance criterion. This paper shows how to move most computations off-line obtaining the explicit form of this control law by means of a heuristic algorithm. These results are illustrated with an application to a scaled laboratory process with dynamics fast enough to preclude the use of numerical solvers. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1463 / 1471
页数：9
相关论文
共 50 条
  • [1] Explicit solution of min-max MPC with additive uncertainties and quadratic criterion
    de la Peña, DM
    Ramírez, DR
    Camacho, EF
    Alamo, T
    SYSTEMS & CONTROL LETTERS, 2006, 55 (04) : 266 - 274
  • [2] Handling the Constraints in Min-Max MPC
    Hu, Jianchen
    Lv, Xiaoliang
    Pan, Hongguang
    Zhang, Meng
    IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING, 2024, 21 (01) : 296 - 304
  • [3] Explicit min-max polynomials on the disc
    Moale, Ionela
    Peherstorfer, Franz
    JOURNAL OF APPROXIMATION THEORY, 2011, 163 (06) : 707 - 723
  • [4] Computational burden reduction in min-max MPC
    Ramirez, D. R.
    Alamo, T.
    Camacho, E. F.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (09): : 2430 - 2447
  • [5] Min-Max MPC based on a network problem
    Alamo, T.
    de la Pena, D. Munoz
    Camacho, E. R.
    SYSTEMS & CONTROL LETTERS, 2008, 57 (02) : 184 - 192
  • [6] Min-max Differential Inequalities for Polytopic Tube MPC
    Feng, Xuhui
    Hu, Haimin
    Villanueva, Mario E.
    Houska, Boris
    2019 AMERICAN CONTROL CONFERENCE (ACC), 2019, : 1170 - 1174
  • [7] Min-max MPC using a tractable QP problem
    Alamo, T.
    Ramirez, D. R.
    de la Pena, D. Munoz
    Camacho, E. F.
    AUTOMATICA, 2007, 43 (04) : 693 - 700
  • [8] Robust MPC via min-max differential inequalities
    Villanueva, Mario E.
    Quirynen, Rien
    Diehl, Moritz
    Chachuat, Benoit
    Houska, Boris
    AUTOMATICA, 2017, 77 : 311 - 321
  • [9] Min-max MPC using a tractable QP problem
    Alamo, T.
    Ramirez, D. R.
    Munoz de la Pena, D.
    2005 44th IEEE Conference on Decision and Control & European Control Conference, Vols 1-8, 2005, : 6210 - 6215
  • [10] Implementation of min-max MPC using hinging hyperplanes.: Application to a heat exchanger
    Ramírez, DR
    Camacho, EF
    Arahal, MR
    CONTROL ENGINEERING PRACTICE, 2004, 12 (09) : 1197 - 1205
12345