Robust normalization and stabilization of uncertain a descriptor systems with norm-bounded perturbations

被引:91
作者
Lin, C [1 ]
Wang, QG [1 ]
Lee, TH [1 ]
机构
[1] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 119260, Singapore
关键词
descriptor systems; norm-bounded perturbation; normalization; stabilization;
D O I
10.1109/TAC.2005.844908
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 note is concerned with the problem of the so-called quadratic normalization and stabilization via both proportional and derivative state feedback (PDSF) and proportional and derivative output feedback (PDOF) for uncertain descriptor systems with norm-bounded perturbations. Necessary and sufficient conditions are presented in terms of linear matrix inequalities (LMIs) or quadratic matrix inequalities (QMIs), by using a simple idea of changing the problem to the corresponding stabilization problem of an augmented uncertain system.
引用
收藏
页码:515 / 520
页数:6
相关论文
共 17 条
[1]   REGULARIZATION OF DESCRIPTOR SYSTEMS BY DERIVATIVE AND PROPORTIONAL STATE FEEDBACK [J].
BUNSEGERSTNER, A ;
MEHRMANN, V ;
NICHOLS, NK .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1992, 13 (01) :46-67
[2]   Static output feedback stabilization: An ILMI approach [J].
Cao, YY ;
Lam, J ;
Sun, YX .
AUTOMATICA, 1998, 34 (12) :1641-1645
[3]   Necessary and sufficient conditions for the output feedback regularization of descriptor systems [J].
Chu, DL ;
Ho, DWC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (02) :405-412
[4]  
Dai L., 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475
[5]   Robust pole assignment in descriptor systems via proportional plus partial derivative state feedback [J].
Duan, GR ;
Patton, RJ .
INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (13) :1193-1203
[6]  
GUO L, 2002, KYBERNETIKA, V38
[7]  
Hassibi A., 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), P1385, DOI 10.1109/ACC.1999.783595
[8]   SYNTHESIS OF PROPORTIONAL-PLUS-DERIVATIVE FEEDBACKS FOR DESCRIPTOR SYSTEMS [J].
LE, VX .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (05) :672-675
[9]   Analysis on robust stability for interval descriptor systems [J].
Lin, C ;
Lam, J ;
Wang, JL ;
Yang, GH .
SYSTEMS & CONTROL LETTERS, 2001, 42 (04) :267-278
[10]   Robust stabilization via state feedback for descriptor systems with uncertainties in the derivative matrix [J].
Lin, C ;
Wang, JL ;
Yang, GH ;
Lam, J .
INTERNATIONAL JOURNAL OF CONTROL, 2000, 73 (05) :407-415