A SUFFICIENT CONDITION FOR SIMULTANEOUS STABILIZATION

被引:28
作者
BLONDEL, V
CAMPION, G
GEVERS, M
机构
[1] Laboratoire d'Automatique Dynamique et Analyse des Systèmes, Université Catholique de Louvain, Bàtiment Maxwell, place du Levant 3
关键词
D O I
10.1109/9.233164
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, we study the following problem, ''Under what condition(s) is it possible to find a single controller which stabilizes k single-input single-output linear time-invariant systems p(i)(s) (i = 1, ..., k)?''. We introduce the concept of avoidance in the complex plane and use it to derive a sufficient condition for k systems to be simultaneously stabilizable. A method for constructing a simultaneous stabilizing controller is also provided and illustrated by an example.
引用
收藏
页码:1264 / 1266
页数:3
相关论文
共 17 条
[1]  
BLONDEL V, 1992, THESIS CATHOLIC U LO
[3]   SIMULTANEOUS STABILIZATION AND SIMULTANEOUS POLE-PLACEMENT BY NONSWITCHING DYNAMIC COMPENSATION [J].
GHOSH, BK ;
BYRNES, CI .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (06) :735-741
[4]   TRANSCENDENTAL AND INTERPOLATION METHODS IN SIMULTANEOUS STABILIZATION AND SIMULTANEOUS PARTIAL POLE PLACEMENT PROBLEMS [J].
GHOSH, BK .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (06) :1091-1109
[5]   AN APPROACH TO SIMULTANEOUS SYSTEM-DESIGN .1. SEMIALGEBRAIC GEOMETRIC METHODS [J].
GHOSH, BK .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (03) :480-496
[6]   SOME NEW RESULTS ON THE SIMULTANEOUS STABILIZABILITY OF A FAMILY OF SINGLE INPUT, SINGLE OUTPUT SYSTEMS [J].
GHOSH, BK .
SYSTEMS & CONTROL LETTERS, 1985, 6 (01) :39-45
[8]  
KWAKERNAAK H, 1985, SYSTEMS CONTROL LETT, V2, P1005
[9]   SOME RESULTS ON SIMULTANEOUS STABILIZATION [J].
MAEDA, H ;
VIDYASAGAR, M .
SYSTEMS & CONTROL LETTERS, 1984, 5 (03) :205-208
[10]   CHARACTERIZATION OF CONTROLLERS IN SIMULTANEOUS STABILIZATION [J].
OBINATA, G ;
MOORE, JB .
SYSTEMS & CONTROL LETTERS, 1988, 10 (05) :333-340