Min-max model predictive control for uncertain max-min-plus-scaling systems

被引:0
|
作者
Necoara, Ion [1 ]
De Schutter, Bart [1 ]
van den Boom, Ton [1 ]
Hellendoorn, Hans [1 ]
机构
[1] Delft Univ Technol, Delft Ctr Syst & Control, Delft, Netherlands
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
We extend the model predictive control (MPC) framework that has been developed previously to a class of uncertain discrete event systems that can be modeled using the operations maximization, minimization, addition and scalar multiplication. This class encompasses max-plus-linear systems, min-max-plus systems, bilinear max-plus systems and polynomial max-plus systems. We first consider open-loop min-max MIPC and we show that the resulting optimization problem can be transformed into a set of linear programming problems. Then, min-max feedback model predictive control using disturbance feedback policies is presented, which leads to improved performance compared to the open-loop approach.
引用
收藏
页码:439 / +
页数:2
相关论文
共 50 条
  • [1] Model predictive control for uncertain max-min-plus-scaling systems
    Necoara, I.
    De Schutter, B.
    Van Den Boom, T.
    Hellendoorn, H.
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2008, 81 (05) : 701 - 713
  • [2] Model predictive control for max-min-plus-scaling systems
    De Schutter, B
    van den Boom, TJJ
    [J]. PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 319 - 324
  • [3] Model predictive control for max-min-plus-scaling systems - Efficient implementation
    De Schutter, B
    van den Boom, TJJ
    [J]. WODES'02: SIXTH INTERNATIONAL WORKSHOP ON DISCRETE EVENT SYSTEMS, PROCEEDINGS, 2002, : 343 - 348
  • [4] Model Predictive Control for Stochastic Max-Min-Plus-Scaling Systems - An Approximation Approach
    Farahani, Samira S.
    van den Boom, Ton
    De Schutter, Bart
    [J]. 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 391 - 396
  • [5] Explicit solution of min-max model predictive control for uncertain systems
    Gao, Yu
    Sun, Li Ning
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (04): : 461 - 468
  • [6] Min-max control of uncertain chaotic systems
    Piccardi, C
    Ghezzi, LL
    [J]. CONTROL OF OSCILLATIONS AND CHAOS - 1997 1ST INTERNATIONAL CONFERENCE, PROCEEDINGS, VOLS 1-3, 1997, : 427 - 430
  • [7] Min-Max Economic Model Predictive Control
    Marquez, Alejandro
    Patino, Julian
    Espinosa, Jairo
    [J]. 2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 4410 - 4415
  • [8] Robust dynamic programming for min-max model predictive control of constrained uncertain systems
    Diehl, M
    Björnberg, J
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (12) : 2253 - 2257
  • [9] On optimization of stochastic max-min-plus-scaling systems-An approximation approach
    Farahani, Samira S.
    van den Boom, Ton
    De Schutter, Bart
    [J]. AUTOMATICA, 2017, 83 : 20 - 27
  • [10] 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