SEMIGLOBAL STABILIZABILITY OF LINEAR NULL CONTROLLABLE SYSTEMS WITH INPUT NONLINEARITIES

Authors
Citation
Ar. Teel, SEMIGLOBAL STABILIZABILITY OF LINEAR NULL CONTROLLABLE SYSTEMS WITH INPUT NONLINEARITIES, IEEE transactions on automatic control, 40(1), 1995, pp. 96-100
Citations number
16
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
ISSN journal
00189286
Volume
40
Issue
1
Year of publication
1995
Pages
96 - 100
Database
ISI
SICI code
0018-9286(1995)40:1<96:SSOLNC>2.0.ZU;2-2
Abstract
An H-infinity-based Lyapunov proof is provided for a result recently e stablished by Lin and Saberi: if a linear system is asymptotically nul l controllable with bounded controls then, when subject to input satur ation, it is semi-globally stabilizable by linear state feedback. A ne w result is that if the system is also detectable then it is semi-glob al stabilizable by completely linear output feedback. Further, an exte nsion which relaxes the requirements on the input characteristic is ob tained.