An optimization approach to the design of constrained regulators for uncertain discrete-time systems

被引:0
作者
Vassilaki, M. [1 ]
Bitsoris, C. [1 ]
机构
[1] Univ Patras, Control Syst Lab, Rion 96500, Achaia, Greece
关键词
linear systems; discrete-time systems; uncertain systems; constrained control; robust control;
D O I
10.1142/S021812660600312X
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper the regulation problem of linear discrete-time systems with uncertain parameters under state and control constraints is studied. In the first part of the paper, two theorems concerning necessary and sufficient conditions for the existence of a solution to this problem are presented. Due to the constructive form of the proof of these theorems, these results can be used to the development of techniques for the derivation of a control law transferring to the origin any state belonging to a given set of initial states while respecting the state and control constraints.
引用
收藏
页码:373 / 387
页数:15
相关论文
共 12 条
[1]   ON THE POSITIVE INVARIANCE OF POLYHEDRAL-SETS FOR DISCRETE-TIME-SYSTEMS [J].
BITSORIS, G .
SYSTEMS & CONTROL LETTERS, 1988, 11 (03) :243-248
[2]  
BITSORIS G, 1993, CONTROL DYNAMIC SYST, V56
[3]   FEEDBACK-CONTROL FOR LINEAR TIME-INVARIANT SYSTEMS WITH STATE AND CONTROL BOUNDS IN THE PRESENCE OF DISTURBANCES [J].
BLANCHINI, F .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (11) :1231-1234
[4]   CONSTRAINED CONTROL FOR UNCERTAIN LINEAR-SYSTEMS [J].
BLANCHINI, F .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1991, 71 (03) :465-484
[5]  
BLANCHINI F, 1991, CONTROL DYNAMIC SYST, V51
[6]   (A, B)-invariant polyhedral sets of linear discrete-time systems [J].
Dórea, CET ;
Hennet, JC .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 103 (03) :521-542
[7]   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
[8]   A NEW DESIGN OF CONSTRAINED CONTROLLERS FOR LINEAR-SYSTEMS [J].
GUTMAN, PO ;
HAGANDER, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (01) :22-33
[9]   AN ALGORITHM TO FIND MAXIMAL STATE CONSTRAINT SETS FOR DISCRETE-TIME LINEAR DYNAMIC-SYSTEMS WITH BOUNDED CONTROLS AND STATES [J].
GUTMAN, PO ;
CWIKEL, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (03) :251-253
[10]   ADMISSIBLE-SETS AND FEEDBACK-CONTROL FOR DISCRETE-TIME LINEAR DYNAMIC-SYSTEMS WITH BOUNDED CONTROLS AND STATES [J].
GUTMAN, PO ;
CWIKEL, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (04) :373-376