Approximate explicit receding horizon control of constrained nonlinear systems

被引:165
作者
Johansen, TA [1 ]
机构
[1] Norwegian Univ Sci & Technol, Dept Engn Cybernet, N-7491 Trondheim, Norway
关键词
optimal control; multi-parametric programming; piecewise linear control;
D O I
10.1016/j.automatica.2003.09.021
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
An algorithm for the construction of an explicit piecewise linear state feedback approximation to nonlinear constrained receding horizon control is given. It allows such controllers to be implemented via an efficient binary tree search, avoiding real-time optimization. This is of significant benefit in applications that requires low real-time computational complexity or low software complexity. The method has a priori guarantee of asymptotic stability with region of attraction being a close inner approximation to the stabilizable set. This is achieved by ensuring that the approximation error does not exceed the stability margin. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码:293 / 300
页数:8
相关论文
共 21 条
[1]  
[Anonymous], NEURODYNAMIC PROGRAM
[2]  
Bemporad A, 2001, IEEE DECIS CONTR P, P4851, DOI 10.1109/CDC.2001.980975
[3]  
Bemporad A, 2000, P AMER CONTR CONF, P872, DOI 10.1109/ACC.2000.876624
[4]   MULTIDIMENSIONAL BINARY SEARCH TREES USED FOR ASSOCIATIVE SEARCHING [J].
BENTLEY, JL .
COMMUNICATIONS OF THE ACM, 1975, 18 (09) :509-517
[5]   A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability [J].
Chen, H ;
Allgower, F .
AUTOMATICA, 1998, 34 (10) :1205-1217
[6]  
Fiacco A.V., 1983, INTRO SENSITIVITY ST
[7]  
GRANCHAROVA A, 2002, IEEE C COMP AID CONT, V1, P174
[8]  
HORST R, 1995, GLOBAL OPTIMIZATION
[9]  
Johansen TA, 2002, IEEE DECIS CONTR P, P2768, DOI 10.1109/CDC.2002.1184260
[10]   Approximate explicit constrained linear model predictive control via orthogonal search tree [J].
Johansen, TA ;
Grancharova, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (05) :810-815