Stability of Networked Control Systems With Uncertain Time-Varying Delays

Author

Cloosterman, Marieke B G ; van de Wouw, N. ; Heemels, W.P.M.H. ; Nijmeijer, Hendrik

Volume

54

Issue

7

fYear

2009

fDate

7/1/2009 12:00:00 AM

Firstpage

1575

Lastpage

1580

Abstract

In this technical note, a new approach for the stability analysis and controller synthesis of networked control systems (NCSs) with uncertain, time-varying, network delays is presented. Based on the Jordan form of the continuous-time plant, a discrete-time representation of the NCS is derived. Using this model for delays that can be both smaller and larger than the sampling interval, sufficient LMI conditions for stability and feedback stabilization are proposed. The results are illustrated by a typical motion control example.

Keywords

control engineering computing; delays; feedback; linear matrix inequalities; stability; time-varying systems; uncertain systems; continuous-time plant; discrete-time representation; feedback stabilization; linear matrix inequality; networked control system; uncertain time-varying delay; Automatic control; Control system synthesis; Control systems; Delay; Feedback; Network synthesis; Networked control systems; Sampling methods; Stability analysis; Time varying systems; Linear matrix inequalities; networked control systems; sampled-data control; stability analysis; time-varying delay;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2009.2015543

Filename

5152980