Continuous Stabilizers and High-Gain Feedback

被引:1
作者
Sontag, Eduardo D. [1 ]
机构
[1] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA
关键词
D O I
10.1093/imamci/3.2-3.237
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 controller is shown to exist, universal for the family of all systems of fixed dimension n with m controls, which stabilizes those systems that are stabilizable whenever certain gains are large enough. The controller parameters are polynomial functions of the entries of the plant. As a consequence, a result is proved on polynomial stabilization of families of systems.
引用
收藏
页码:237 / 253
页数:17
相关论文
共 11 条
[1]  
Delchamps D. F., 1983, Proceedings of the 22nd IEEE Conference on Decision and Control, P1396
[2]   ON NECESSARY AND SUFFICIENT CONDITIONS FOR REGULATION OF LINEAR-SYSTEMS OVER RINGS [J].
EMRE, E .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1982, 20 (02) :155-160
[3]  
GANTMACHER FR, 1959, MATRIZENRECHNUNG, V1
[4]  
HAUTUS MLJ, 1980, ALGEBR GEOM TOPOL, P99
[5]  
Hormander L., 1983, ANAL LINEAR PARTIAL, V2
[6]   ON THE RELATION BETWEEN STABLE MATRIX-FRACTION FACTORIZATIONS AND REGULABLE REALIZATIONS OF LINEAR-SYSTEMS OVER RINGS [J].
KHARGONEKAR, PP ;
SONTAG, ED .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (03) :627-638
[7]  
McDonald B.R., 1984, LINEAR ALGEBRA COMMU
[8]  
RAO KPSB, 1983, LINEAR ALGEBRA APPL, V49, P179
[9]   ON GENERALIZED INVERSES OF POLYNOMIAL AND OTHER MATRICES [J].
SONTAG, ED .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (03) :514-517
[10]   PARAMETRIC STABILIZATION IS EASY [J].
SONTAG, ED .
SYSTEMS & CONTROL LETTERS, 1984, 4 (04) :181-188