CHARACTERIZATION OF ALL CLOSED-LOOP TRANSFER-FUNCTION MATRICES IN H-INFINITY-OPTIMIZATION

Authors
STOORVOGEL AA SABERI A CHEN BM
Citation
Aa. Stoorvogel et al., CHARACTERIZATION OF ALL CLOSED-LOOP TRANSFER-FUNCTION MATRICES IN H-INFINITY-OPTIMIZATION, Control, theory and advanced technology, 9(2), 1993, pp. 565-576
Citations number
7
Categorie Soggetti
Computer Application, Chemistry & Engineering","Controlo Theory & Cybernetics","Instument & Instrumentation","Computer Applications & Cybernetics","Engineering, Eletrical & Electronic
Journal title
Control, theory and advanced technology → ACNP
ISSN journal
09110704
Volume
9
Issue
2
Year of publication
1993
Pages
565 - 576
Database
ISI
SICI code
0911-0704(1993)9:2<565:COACTM>2.0.ZU;2-B
Abstract
In this paper, we derive a characterization of all stable closed loop systems with H(infinity)-norm strictly less than 1 which we can obtain via a suitable stabilizing feedback. We give an exact characterizatio n. However, this characterization contains relatively implicit constra ints on the free parameter. We also introduce an ''approximate'' chara cterization parameterized via a stable system X with H(infinity)-norm less than 1 (and no other conditions on X). A element of this approxim ate characterization can be arbitrarily well approximated by a closed loop system we can obtain via a suitable stabilizing feedback.