Static output feedback stabilization: An ILMI approach

Citation
Yy. Cao et al., Static output feedback stabilization: An ILMI approach, AUTOMATICA, 34(12), 1998, pp. 1641-1645
Citations number
20
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
AUTOMATICA
ISSN journal
00051098 → ACNP
Volume
34
Issue
12
Year of publication
1998
Pages
1641 - 1645
Database
ISI
SICI code
0005-1098(199812)34:12<1641:SOFSAI>2.0.ZU;2-7
Abstract
In this note, the static output feedback stabilization problem is addressed using the linear matrix inequality technique. A necessary and sufficient c ondition for static output feedback stabilizability for linear time-invaria nt systems is derived in the form of a matrix inequality. The extension of the result to H-infinity control is studied. An iterative LMI (ILMI) algori thm is proposed to compute the feedback gain. Numerical examples are employ ed to demonstrate the effectiveness and the convergence of the algorithm. ( C) 1998 Elsevier Science Ltd. All rights reserved.