Tube-based robust nonlinear model predictive control

被引:305
作者
Mayne, D. Q. [1 ]
Kerrigan, E. C. [1 ,2 ]
van Wyk, E. J. [1 ]
Falugi, P. [1 ]
机构
[1] Imperial Coll London, Dept Elect & Elect Engn, London, England
[2] Imperial Coll London, Dept Aeronaut, London, England
基金
英国工程与自然科学研究理事会;
关键词
robust model predictive control; nonlinear model predictive control; discrete-time systems; tubes; uncertain systems; SYSTEMS;
D O I
10.1002/rnc.1758
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 extends tube-based model predictive control of linear systems to achieve robust control of nonlinear systems subject to additive disturbances. A central or reference trajectory is determined by solving a nominal optimal control problem. The local linear controller, employed in tube-based robust control of linear systems, is replaced by an ancillary model predictive controller that forces the trajectories of the disturbed system to lie in a tube whose center is the reference trajectory thereby enabling robust control of uncertain nonlinear systems to be achieved. Copyright (C) 2011 John Wiley & Sons, Ltd.
引用
收藏
页码:1341 / 1353
页数:13
相关论文
共 17 条
[1]   Systems with persistent disturbances: predictive control with restricted constraints [J].
Chisci, L ;
Rossiter, JA ;
Zappa, G .
AUTOMATICA, 2001, 37 (07) :1019-1028
[2]   Nominally robust model predictive control with state constraints [J].
Grimm, Gene ;
Messina, Michael J. ;
Tuna, Sezai E. ;
Teel, Andrew R. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (10) :1856-1870
[3]   APPROXIMATION METHODS FOR OPTIMAL CONTROL SYNTHESIS [J].
HICKS, GA ;
RAY, WH .
CANADIAN JOURNAL OF CHEMICAL ENGINEERING, 1971, 49 (04) :522-&
[4]   Simultaneous dynamic optimization strategies: Recent advances and challenges [J].
Kameswaran, Shivakumar ;
Biegler, Lorenz T. .
COMPUTERS & CHEMICAL ENGINEERING, 2006, 30 (10-12) :1560-1575
[5]   Robust MPC of constrained nonlinear systems based on interval arithmetic [J].
Limon, D ;
Bravo, JM ;
Alamo, T ;
Camacho, EF .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2005, 152 (03) :325-332
[6]   Robust model predictive control for nonlinear discrete-time systems [J].
Magni, L ;
De Nicolao, G ;
Scattolini, R ;
Allgöwer, F .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2003, 13 (3-4) :229-246
[7]  
MARRUEDO DL, 2002, P AMER CONTR CONF, P364
[8]  
Mayne D.Q., 2007, IFAC Proceedings Volumes, V40, P36
[9]   Constrained model predictive control: Stability and optimality [J].
Mayne, DQ ;
Rawlings, JB ;
Rao, CV ;
Scokaert, POM .
AUTOMATICA, 2000, 36 (06) :789-814
[10]   Robust model predictive control of constrained linear systems with bounded disturbances [J].
Mayne, DQ ;
Seron, MM ;
Rakovic, SV .
AUTOMATICA, 2005, 41 (02) :219-224