Robust state feedback control of LTV systems: Nonlinear is better than linear

Authors
Blanchini, F Megretski, A
Citation
F. Blanchini et A. Megretski, Robust state feedback control of LTV systems: Nonlinear is better than linear, IEEE AUTO C, 44(4), 1999, pp. 802-807
Citations number
15
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN journal
00189286 → ACNP
Volume
44
Issue
4
Year of publication
1999
Pages
802 - 807
Database
ISI
SICI code
0018-9286(199904)44:4<802:RSFCOL>2.0.ZU;2-X
Abstract
Examples of linear control systems with fast time-varying uncertain coeffic ients are given, which can be stabilized by a nonlinear memoryless state fe edback, but cannot be stabilized by a linear time-invariant dynamic state f eedback. By means of one of these examples the authors show that the closed -loop quadratic stability margin may be infinitely smaller than the actual stability margin.