Comparison of stability characterisations for networked control systems

Author

Hetel, L. ; Cloosterman, M.B.G. ; van de Wouw, N. ; Heemels, W.P.M.H. ; Daafouz, J. ; Nijmeijer, H.

Author_Institution

LAGIS, Ecole Centrale de Lille, Villeneuve dAscq, France

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

7911

Lastpage

7916

Abstract

This paper presents linear matrix inequalities for stability analysis for networked control systems (NCSs) that incorporates various network phenomena: time-varying sampling intervals, packet dropouts and time-varying delays that may be both smaller and larger than the sampling interval. The problem is approached from a discrete-time modelling perspective. A comparison is made between the use of parameter dependent Lyapunov functions and Lyapunov-Krasovskii functions for stability analysis. Examples illustrate the developed theory.

Keywords

Lyapunov methods; delays; distributed parameter systems; linear matrix inequalities; stability; time-varying systems; Lyapunov-Krasovskii functions; discrete time modelling; linear matrix inequalities; networked control systems; packet dropouts; parameter dependent Lyapunov functions; stability analysis; time varying delays; time varying sampling intervals; Control systems; Delay effects; Delay lines; Delay systems; Linear matrix inequalities; Lyapunov method; Networked control systems; Sampling methods; Stability analysis; Time varying systems; linear matrix inequalities (LMIs); network control systems; sampled-data control; stability analysis; time-varying delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400295

Filename

5400295