Constrained NMPC via state-space partitioning for input affine non-linear systems

被引:8
作者
Bacic, M [1 ]
Cannon, M [1 ]
Kouvaritakis, B [1 ]
机构
[1] Univ Oxford, Dept Engn Sci, Oxford OX1 3PJ, England
基金
英国工程与自然科学研究理事会;
关键词
D O I
10.1080/00207170310001604963
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper we present a novel approach to NMPC based on state-space partitioning in conjunction with one-step ahead prediction and judicious use of graph theory to deliver an optimized control law which is robust, and is suitable for fast sampling applications. The only on-line computation required is a one-step ahead QP minimization which is linear in the number of inputs. The paper describes the general idea of the method and presents results, whose efficiency is demonstrated by means of a design study.
引用
收藏
页码:1516 / 1526
页数:11
相关论文
共 19 条
[1]  
[Anonymous], INTRO ALGORITHMS
[2]  
BACIC M, 2000, P 8 IFAC S COMP AID
[3]   The Quickhull algorithm for convex hulls [J].
Barber, CB ;
Dobkin, DP ;
Huhdanpaa, H .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1996, 22 (04) :469-483
[4]  
BEMPORAD A, AUTOMATICA, V38, P3
[5]  
CANNON M, 2002, P 15 IFAC WORLD C BA
[6]   LINEAR-SYSTEMS WITH STATE AND CONTROL CONSTRAINTS - THE THEORY AND APPLICATION OF MAXIMAL OUTPUT ADMISSIBLE-SETS [J].
GILBERT, EG ;
TAN, KT .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (09) :1008-1020
[7]  
GUTMAN P, 1986, IEEE T AUTOMATIC CON, V31, P251
[8]  
JOHANSEN TA, 2002, P 15 IFAC WORLD C BA
[9]   Robust constrained model predictive control using linear matrix inequalities [J].
Kothare, MV ;
Balakrishnan, V ;
Morari, M .
AUTOMATICA, 1996, 32 (10) :1361-1379
[10]   Efficient robust predictive control [J].
Kouvaritakis, B ;
Rossiter, JA ;
Schuurmans, J .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (08) :1545-1549