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

页码：1463 / 1471

页数：9

共 50 条

[41] A MIN-MAX THEOREM ON POTENTIALS
KAUFMAN, R
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1994, 319 (08): : 799 - 800
[42] Interval Observer based Min-max MPC scheme for LPV Systems with bounded uncertainties
Wu, Yuying
Zhang, Langwen
Ling, Keck-Voon
Xie, Wei
2022 41ST CHINESE CONTROL CONFERENCE (CCC), 2022, : 2645 - 2650
[43] MORE ON MIN-MAX ALLOCATION
PORTEUS, EL
YORMARK, JS
MANAGEMENT SCIENCE SERIES A-THEORY, 1972, 18 (09): : 502 - 507
[44] MIN-MAX INTERVAL CALCULUS
JAHN, KU
MATHEMATISCHE NACHRICHTEN, 1976, 71 : 267 - 272
[45] A Second Order Cone Formulation of min-max MPC with zone control for LPV Systems
Marquez-Ruiz, Alejandro
Patino, Julian
Ozkan, Leyla
Espinosa, Jairo
2019 IEEE 4TH COLOMBIAN CONFERENCE ON AUTOMATIC CONTROL (CCAC): AUTOMATIC CONTROL AS KEY SUPPORT OF INDUSTRIAL PRODUCTIVITY, 2019,
[46] Min-max multiway cut
Svitkina, Z
Tardos, É
APPROXIMATION, RANDOMIZATION, AND COMBINATORIAL OPTIMIZATION: ALGORITHMS AND TECHNIQUES, PROCEEDINGS, 2004, 3122 : 207 - 218
[47] SYNTHESIS OF MIN-MAX STRATEGIES
GUTMAN, S
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1985, 46 (04) : 515 - 523
[48] A min-max theorem on tournaments
Chen, Xujin
Hu, Xiaodong
Zang, Wenan
SIAM JOURNAL ON COMPUTING, 2007, 37 (03) : 923 - 937
[49] Input to state stability of min-max MPC controllers for nonlinear systems with bounded uncertainties
Limon, D
Alamo, T
Salas, F
Camacho, EF
AUTOMATICA, 2006, 42 (05) : 797 - 803
[50] Dynamic min-max problems
Schwiegelshohn, U
Thiele, L
DISCRETE EVENT DYNAMIC SYSTEMS-THEORY AND APPLICATIONS, 1999, 9 (02): : 111 - 134

← 1 2 3 4 5 →