Computation, approximation and stability of explicit feedback min-max nonlinear model predictive control

被引：28
|
作者：
Grancharova, Alexandra [1 ]
Johansen, Tor A. [2 ]
机构：
[1] Bulgarian Acad Sci, Inst Control & Syst Res, BU-1113 Sofia, Bulgaria
[2] Norwegian Univ Sci & Technol, Dept Engn Cybernet, N-7491 Trondheim, Norway
来源：
AUTOMATICA | 2009年 / 45卷 / 05期
关键词：
Min-max model predictive control; Multi-parametric programming; l(2)-stability; RECEDING HORIZON CONTROL; MPC; SYSTEMS; STATE; DESIGN; INPUT;
D O I：
10.1016/j.automatica.2008.12.023
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 paper presents an approximate multi-parametric Nonlinear Programming (mp-NLP) approach to explicit solution of feedback min-max NMPC problems for constrained nonlinear systems in the presence of bounded disturbances and/or parameter uncertainties. It is based on an orthogonal search tree structure of the state space partition and consists in constructing a piecewise nonlinear (PWNL) approximation to the optimal sequence of feedback control policies. Conditions guaranteeing the robust stability of the closed-loop system in terms of a finite l(2)-gain are derived. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1134 / 1143
页数：10
相关论文
共 50 条
  • [21] Min-max coalitional model predictive control algorithm
    Maxim, Anca
    Maestre, Jose M.
    Caruntu, Constantin F.
    Lazar, Corneliu
    2019 22ND INTERNATIONAL CONFERENCE ON CONTROL SYSTEMS AND COMPUTER SCIENCE (CSCS), 2019, : 24 - 29
  • [22] Min-max model predictive control of a pilot plant
    Ramirez, D. R.
    Gruber, J. K.
    Alamo, T.
    Bordons, C.
    Camacho, E. F.
    REVISTA IBEROAMERICANA DE AUTOMATICA E INFORMATICA INDUSTRIAL, 2008, 5 (03): : 37 - +
  • [23] Reducing the computational effort of min-max model predictive control with regional feedback laws
    Koenig, Kai
    Moennigmann, Martin
    IFAC PAPERSONLINE, 2021, 54 (06): : 58 - 63
  • [24] Min-max model predictive control for uncertain max-min-plus-scaling systems
    Necoara, Ion
    De Schutter, Bart
    van den Boom, Ton
    Hellendoorn, Hans
    WODES 2006: EIGHTH INTERNATIONAL WORKSHOP ON DISCRETE EVENT SYSTEMS, PROCEEDINGS, 2006, : 439 - +
  • [25] Feedback min-max model predictive control using robust one-step sets
    Cychowski, Marcin T.
    O'Mahony, Tom
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2010, 41 (07) : 813 - 823
  • [26] A stabilizing min-max generalized predictive control
    Kim, YH
    Kwon, WH
    Lee, YI
    PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 2058 - 2062
  • [27] Min-max model predictive control for constrained nonlinear systems via multiple LPV embeddings
    Zhao Min
    Li Ning
    Li ShaoYuan
    SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2009, 52 (07): : 1129 - 1135
  • [28] Min-max model predictive control for constrained nonlinear systems via multiple LPV embeddings
    Min Zhao
    Ning Li
    ShaoYuan Li
    Science in China Series F: Information Sciences, 2009, 52 : 1129 - 1135
  • [29] Output Feedback Assignability for Nonlinear Min-max Systems
    Wei, Hongyun
    Zhu, Zhongxun
    Tao, Yuegang
    Chen, Wende
    ADVANCED MANUFACTURING TECHNOLOGY, PTS 1-3, 2011, 314-316 : 374 - +
  • [30] Min-max model predictive control for constrained nonlinear systems via multiple LPV embeddings
    ZHAO Min
    Science China(Information Sciences), 2009, (07) : 1129 - 1135
12345