A separation principle for the control of a class of nonlinear systems

Citation
An. Atassi et Hk. Khalil, A separation principle for the control of a class of nonlinear systems, IEEE AUTO C, 46(5), 2001, pp. 742-746
Citations number
13
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN journal
00189286 → ACNP
Volume
46
Issue
5
Year of publication
2001
Pages
742 - 746
Database
ISI
SICI code
0018-9286(200105)46:5<742:ASPFTC>2.0.ZU;2-L
Abstract
In this note, we extend the separation results of a previous work to a case where a globally bounded state feedback controller renders a certain compa ct set positively invariant and asymptotically attractive. The extension co vers a wide range of control tasks that arise in adaptive control, servomec hanisms, and practical stabilization. It is shown that by implementing the control law using a high-gain observer, we can recover the performance of t he state feedback controller.