Structurally constrained H2 and H∞ control:: A rank-constrained LMI approach

被引:13
作者
Kim, Seog-Joo [1 ]
Moon, Young-Hyun
机构
[1] Korea Electrotechnol Res Inst, I&C Grp, Chang Won 641120, Kyungnam, South Korea
[2] Yonsei Univ, Dept Elect & Elect Engn, Seoul 120749, South Korea
关键词
H-infinity control; linear matrix inequality (LMI); penalty-function method; structured synthesis;
D O I
10.1016/j.automatica.2006.03.017
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 describes an iterative linear matrix inequality (LMI) approach to the design of a structurally constrained output feedback controller. The structured synthesis is formulated as a novel rank-constrained LMI optimization problem, where the controller parameters are explicitly described so as to impose structural constraints on the parameter matrices. An iterative penalty-function method based on heuristics is used to solve the rank-constrained LMI problem. A numerical experiment illustrates the practicality of the proposed method. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1583 / 1588
页数:6
相关论文
共 18 条
[1]   H infinity design with pole placement constraints: An LMI approach [J].
Chilali, M ;
Gahinet, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (03) :358-367
[2]   Extended H2 and H∞ norm characterizations and controller parametrizations for discrete-time systems [J].
De Oliveira, MC ;
Geromel, JC ;
Bernussou, J .
INTERNATIONAL JOURNAL OF CONTROL, 2002, 75 (09) :666-679
[3]   A convexifying algorithm for the design of structured linear controllers [J].
de Oliveira, MC ;
Camino, JF ;
Skelton, RE .
PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2781-2786
[4]  
Ebihara Y, 2003, 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, P5632
[5]   A cone complementarity linearization algorithm for static output-feedback and related problems [J].
ElGhaoui, L ;
Oustry, F ;
AitRami, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (08) :1171-1176
[6]  
Fares B, 2000, P AMER CONTR CONF, P3702, DOI 10.1109/ACC.2000.879261
[7]   Low-order control design for LMI problems using alternating projection methods [J].
Grigoriadis, KM ;
Skelton, RE .
AUTOMATICA, 1996, 32 (08) :1117-1125
[8]   An LMI optimization approach for structured linear controllers [J].
Han, JH ;
Skelton, RE .
42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, :5143-5148
[9]  
Horn R. A., 1986, Matrix analysis
[10]   The XY-centring algorithm for the dual LMI problem: A new approach to fixed-order control design [J].
Iwasaki, T ;
Skelton, RE .
INTERNATIONAL JOURNAL OF CONTROL, 1995, 62 (06) :1257-1272