Stabilization of Time-Varying Nonlinear Systems With Distributed Input Delay by Feedback of Plant´s State

Author

Mazenc, Frédéric ; Niculescu, Silviu-Iulian ; Bekaik, Mounir

Author_Institution

EPI INRIA DISCO, Gif-sur-Yvette, France

Volume

58

Issue

1

fYear

2013

fDate

Jan. 2013

Firstpage

264

Lastpage

269

Abstract

We address the problem of stabilizing systems belonging to a family of time-varying nonlinear systems with distributed input delay through state feedbacks without retarded term. The approach we adopt is based on a new technique that is inspired by the reduction model technique. The control laws we obtain are nonlinear and time-varying. They globally uniformly exponentially stabilize the origin of the considered system. We illustrate the construction with a networked control system.

Keywords

asymptotic stability; delays; distributed control; networked control systems; nonlinear control systems; reduced order systems; state feedback; time-varying systems; distributed input delay; global uniform exponential stability; networked control system; nonlinear time-varying control laws; plant state feedback; reduction model technique; time-varying nonlinear system stabilization; Delay; Frequency modulation; Linear matrix inequalities; Nonlinear systems; State feedback; Time varying systems; Trajectory; Asymptotic stability; distributed delay; nonlinear; time-varying;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2012.2204832

Filename

6218173