Robust receding horizon predictive control for systems with uncertain dynamics and input saturation

被引：94

作者：

Lee, YI ^{[1
]}

Kouvaritakis, B

机构：

[1] Gyeongsang Natl Univ, Ind Technol Res Inst, Dept Control & Instrumentat, Jinju 660701, Gyeong Nam, South Korea

[2] Univ Oxford, Dept Engn Sci, Oxford OX1 3PJ, England

来源：

AUTOMATICA | 2000年 / 36卷 / 10期

基金：

英国工程与自然科学研究理事会;

关键词：

uncertainty; input saturation; feasibility; invariance; polyhedral set; robust stability; predictive control;

D O I：

10.1016/S0005-1098(00)00064-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A receding horizon predictive control method which assures stability for systems with model uncertainty and input saturation is derived by extending earlier work in two important respects: (i) ellipsoidal invariant sets are replaced by polyhedral invariant sets; and (ii) the constraint that the state lie in an invariant set is invoked N steps ahead. The new algorithm allows for a considerable enlargement of the stabilizable set and provides extra degrees of freedom with which to improve performance. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：1497 / 1504

页数：8

共 15 条

[1]

BLANCHINI F, 1995, INT J CONTROL, V62, P601, DOI 10.1080/00207179508921559

[2] A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability [J].

Chen, H ;

Allgower, F .

AUTOMATICA, 1998, 34 (10) :1205-1217

[3] Stabilizing receding-horizon control of nonlinear time-varying systems [J].

De Nicolao, G ;

Magni, L ;

Scattolini, R .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (07) :1030-1036

[4]

GHAOUI LE, 1995, LMITOOL USER FRIENDL

[5] 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

[6] OPTIMAL INFINITE-HORIZON FEEDBACK LAWS FOR A GENERAL-CLASS OF CONSTRAINED DISCRETE-TIME-SYSTEMS - STABILITY AND MOVING-HORIZON APPROXIMATIONS [J].

KEERTHI, SS ;

GILBERT, EG .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1988, 57 (02) :265-293

[7] Robust constrained model predictive control using linear matrix inequalities [J].

Kothare, MV ;

Balakrishnan, V ;

Morari, M .

AUTOMATICA, 1996, 32 (10) :1361-1379

[8] Novel bonding technology for hermetically sealed silicon micropackage [J].

Lee, DJ ;

Ju, BK ;

Choi, WB ;

Jeong, JW ;

Lee, YH ;

Jang, J ;

Lee, KB ;

Oh, MH .

JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS, 1999, 38 (1A) :1-6

[9] On stability of constrained receding horizon control with finite terminal weighting matrix [J].

Lee, JW ;

Kwon, WH ;

Choi, JH .

AUTOMATICA, 1998, 34 (12) :1607-1612

[10] Robust time-optimal control of constrained linear systems [J].

Mayne, DQ ;

Schroeder, WR .

AUTOMATICA, 1997, 33 (12) :2103-2118

← 1 2 →