Min-max model predictive control as a quadratic program

被引：17
作者：
de la Pena, D. Munoz [1 ]
Alamo, T. [1 ]
Ramirez, D. R. [1 ]
Camacho, E. F. [1 ]
机构：
[1] Univ Seville, Dept Ingn Sistemas & Automat, Seville 41092, Spain
来源：
IET CONTROL THEORY AND APPLICATIONS | 2007年 / 1卷 / 01期
关键词：
D O I：
10.1049/iet-cta:20060016
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The implementation of min-max model predictive control for constrained linear systems with bounded additive uncertainties and quadratic cost functions is dealt with. This type of controller has been shown to be a continuous piecewise affine function of the state vector by geometrical methods. However, no algorithm for computing the explicit solution has been given. Here, it is shown that the min-max optimisation problem can be expressed as a multi-parametric quadratic program, and so, the explicit form of the controller may be determined by standard multi-parametric techniques.
引用
收藏
页码：328 / 333
页数：6
相关论文
共 25 条
[1]  
Alamo T, 2003, 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, P1433
[2]   ON LINEAR-PROGRAMMING AND ROBUST MODEL-PREDICTIVE CONTROL USING IMPULSE-RESPONSES [J].
ALLWRIGHT, JC ;
PAPAVASILIOU, GC .
SYSTEMS & CONTROL LETTERS, 1992, 18 (02) :159-164
[3]  
Bazaraa MokhtarS., 1979, Nonlinear Programming: Theory and Algorithms
[4]   The explicit linear quadratic regulator for constrained systems [J].
Bemporad, A ;
Morari, M ;
Dua, V ;
Pistikopoulos, EN .
AUTOMATICA, 2002, 38 (01) :3-20
[5]   Min-max control of constrained uncertain discrete-time linear systems [J].
Bemporad, A ;
Borrelli, F ;
Morari, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (09) :1600-1606
[6]  
Bemporad A, 1998, IEEE DECIS CONTR P, P1384, DOI 10.1109/CDC.1998.758479
[7]  
Camacho E. F., 2004, ADV TK CONT SIGN PRO, V2nd, DOI 10.1007/978-0-85729-398-5
[8]  
Campo P. J., 1987, Proceedings of the 1987 American Control Conference, P1021
[9]   Explicit solution of min-max MPC with additive uncertainties and quadratic criterion [J].
de la Peña, DM ;
Ramírez, DR ;
Camacho, EF ;
Alamo, T .
SYSTEMS & CONTROL LETTERS, 2006, 55 (04) :266-274
[10]   Application of an explicit min-max MPC to a scaled laboratory process [J].
de la Peña, DM ;
Ramírez, DR ;
Camacho, EF ;
Alamo, T .
CONTROL ENGINEERING PRACTICE, 2005, 13 (12) :1463-1471
123