On the computation of the optimal H-infinity norms for two feedback control problems

Citation
Ww. Lin et al., On the computation of the optimal H-infinity norms for two feedback control problems, LIN ALG APP, 287(1-3), 1999, pp. 223-255
Citations number
26
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
287
Issue
1-3
Year of publication
1999
Pages
223 - 255
Database
ISI
SICI code
0024-3795(19990115)287:1-3<223:OTCOTO>2.0.ZU;2-I
Abstract
Numerical computation of the optimal H-infinity norms for the state feedbac k and the output feedback control problems is considered. In 1989, Doyle et al, derived, for a given parameter r > 0, necessary and sufficient conditi ons under which an admissible output feedback controller exists, as well as conditions for the existence of a state feedback controller. We explore nu merical methods to find the infirnum of parameter r that satisfies those co nditions. (C) 1999 Elsevier Science Inc. All rights reserved.