Stability analysis for sampled-data systems with a time-varying period

Author

Seuret, Alexandre

Author_Institution

Dept. of Autom. Control, CNRS, Grenoble, France

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

8130

Lastpage

8135

Abstract

This paper proposes a novel stability analysis of linear systems with sampled-data inputs. Inspired by the input-delay approach and the stability of impulsive systems, this method provides novel sufficient stability conditions. The stability analysis concerns both constant and time-varying sampling periods. The delay-dependent conditions are expressed using computable linear matrix inequalities. Several examples show the efficiency and the limitation of such stability criteria.

Keywords

delay systems; linear matrix inequalities; linear systems; sampled data systems; stability; time-varying systems; impulsive system stability; input-delay approach; linear matrix inequalities; linear system; sampled-data systems; time-varying sampling period; Asymptotic stability; Automatic control; Communication system control; Control systems; Delay; Linear systems; Sampling methods; Stability analysis; Symmetric matrices; Time varying systems; Lyapunov-Krasovskii functionals (LKF); Sampled data controller; Time-delay; delay-dependent stability; linear matrix inequality (LMI);

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.2009.5400681

Filename

5400681