A new algorithm for an eigenvalue assignment problem from singular control theory

被引:6
作者
Chu, DL
Ho, DWC
机构
[1] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore
[2] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
关键词
infinite eigenvalue; numerical algorithm; singular system;
D O I
10.1109/TAC.2002.800665
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 note, a new numerical algorithm for an eigenvalue assignment problem, which arises from singular system control, is developed. The algorithm is based on orthogonal row/column compressions which can be implemented in a numerically reliable way.
引用
收藏
页码:1163 / 1167
页数:5
相关论文
共 10 条
[1]  
Beelen T., 1990, RELIABLE NUMERICAL C, P57
[2]   A general framework for state feedback pole assignment of singular systems [J].
Chu, DL ;
Chan, HC ;
Ho, DWC .
INTERNATIONAL JOURNAL OF CONTROL, 1997, 67 (02) :135-152
[3]   Infinite eigenvalue assignment for singular systems [J].
Chu, DL ;
Ho, DWC .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 298 (1-3) :21-37
[4]   OBSERVERS FOR DISCRETE SINGULAR SYSTEMS [J].
DAI, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (02) :187-191
[5]  
Dai L., 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475
[6]  
FAHMY MM, 1989, INT J CONTROL, V49, P1421, DOI 10.1080/00207178908961323
[7]  
Golub G.H., 2013, MATRIX COMPUTATIONS
[8]   DEFLATION IN EIGENVALUE ASSIGNMENT OF DESCRIPTOR SYSTEMS USING STATE-FEEDBACK [J].
MIMINIS, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (09) :1322-1336
[9]   A DIRECT ALGORITHM FOR POLE ASSIGNMENT OF TIME-INVARIANT MULTI-INPUT LINEAR-SYSTEMS USING STATE FEEDBACK [J].
MIMINIS, GS ;
PAIGE, CC .
AUTOMATICA, 1988, 24 (03) :343-356
[10]   An improved algorithm for the computation of structural invariants of a system pencil and related geometric aspects [J].
Oara, C ;
VanDooren, P .
SYSTEMS & CONTROL LETTERS, 1997, 30 (01) :39-48