Complexity reduction in MPC for stochastic max-plus-linear systems by variability expansion

被引:0
|
作者
van den Boom, TJJ [1 ]
De Schutter, B [1 ]
Heidergott, B [1 ]
机构
[1] Delft Univ Technol, Fac Informat Technol & Syst, NL-2600 GA 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
Model predictive control (MPC) is a popular controller design technique in the process industry. Conventional MPC uses linear or nonlinear discrete-time models. Recently, we have extended MPC to a class of discrete event systems that can be described by a model that is "linear" in the max-plus algebra. In our previous work we have considered MPC for the perturbations-free case and for the case with noise and/or modeling errors in a bounded or stochastic setting. In this paper we consider a method to reduce the computational complexity of the resulting optimization problem, based on variability expansion. We show that the computational load is reduced if we decrease the level of 'randomness' in the system.
引用
收藏
页码:3567 / 3572
页数:6
相关论文
共 50 条
  • [31] Model predictive control for max-plus-linear discrete event systems
    De Schutter, B
    van den Boom, T
    AUTOMATICA, 2001, 37 (07) : 1049 - 1056
  • [32] Stable model predictive control for constrained max-plus-linear systems
    Necoara, Ion
    De Schutter, Bart
    van den Boom, Ton J. J.
    Hellendoorn, Hans
    DISCRETE EVENT DYNAMIC SYSTEMS-THEORY AND APPLICATIONS, 2007, 17 (03): : 329 - 354
  • [33] Finite-horizon min-max control of max-plus-linear systems
    Necoara, Ion
    Kerrigan, Eric C.
    De Schutter, Bart
    van den Boom, Ton J. J.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (06) : 1088 - 1093
  • [34] Integration of Max-Plus-Linear Scheduling and Control
    Dirza, Risvan
    Marquez-Ruiz, Alejandro
    Ozkan, Leyla
    Mendez-Blanco, Carlos S.
    29TH EUROPEAN SYMPOSIUM ON COMPUTER AIDED PROCESS ENGINEERING, PT B, 2019, 46 : 1279 - 1284
  • [35] Analytic Expressions in Stochastic Max-Plus-Linear Algebra and their Application in Model Predictive Control
    van den Boom, Ton J. J.
    De Schutter, Bart
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (04) : 1872 - 1878
  • [36] Discussion on: 'Properties of MPC for max-plus-linear systems' by T. van den Boom and B. De Schutter'
    Chen, WH
    EUROPEAN JOURNAL OF CONTROL, 2002, 8 (05) : 463 - 464
  • [37] Modeling and control of switching max-plus-linear systems with random and deterministic switching
    Ton J. J. van den Boom
    Bart De Schutter
    Discrete Event Dynamic Systems, 2012, 22 : 293 - 332
  • [38] Modelling and control of discrete event systems using switching max-plus-linear systems
    van den Boom, T. J. J.
    De Schutter, B.
    CONTROL ENGINEERING PRACTICE, 2006, 14 (10) : 1199 - 1211
  • [39] Feedback properties of model predictive control Tor max-plus-linear systems
    Masuda, Shiro
    Goto, Hiroyuki
    2007 IEEE INTERNATIONAL CONFERENCE ON NETWORKING, SENSING, AND CONTROL, VOLS 1 AND 2, 2007, : 553 - +
  • [40] Worst-case optimal control of uncertain max-plus-linear systems
    Necoara, Ion
    Kerrigan, Eric C.
    De Schutter, Bart
    van den Boom, Ton J. J.
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 6055 - +