Local stabilization of discrete-time linear systems with saturating controls: An LMI-based approach

Authors
da Silva, JMG Tarbouriech, S
Citation
Jmg. Da Silva et S. Tarbouriech, Local stabilization of discrete-time linear systems with saturating controls: An LMI-based approach, IEEE AUTO C, 46(1), 2001, pp. 119-125
Citations number
16
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN journal
00189286 → ACNP
Volume
46
Issue
1
Year of publication
2001
Pages
119 - 125
Database
ISI
SICI code
0018-9286(200101)46:1<119:LSODLS>2.0.ZU;2-1
Abstract
This note deals with the problem of local stabilization of linear discrete- time systems subject to control saturation. A linear matrix inequalitie-bas ed framework is proposed in order to compute a saturating state feedback th at stabilizes the system with respect to a given set of admissible initial states and, in addition, guarantees some dynamical performances when the sy stem operates in the zone of linear behavior (i.e., when the controls are n ot saturated).