A switched Lyapunov function approach to stability analysis of non-uniformly sampled-data systems

Author

Fujioka, H. ; Nakai, T. ; Hetel, L.

Author_Institution

Kyoto Univ., Kyoto, Japan

fYear

2010

fDate

June 30 2010-July 2 2010

Firstpage

1803

Lastpage

1804

Abstract

Stability of sampled-data feedback systems with uncertainly time-varying sampling intervals is considered. It is shown that exponential stability of the system is implied by showing the existence of a switched Lyapunov function for the related discretized system. The proposed stability criterion is less conservative than the conventional one based on the quadratic stability of the discretized system. The reduction of the conservatism is illustrated by a numerical example.

Keywords

Lyapunov methods; asymptotic stability; feedback; sampled data systems; time-varying systems; discretized system; exponential stability; nonuniformly sampled data feedback system stability analysis; quadratic stability; switched Lyapunov function; time-varying sampling intervals; Control systems; Feedback control; Lyapunov method; Networked control systems; Robustness; Sampling methods; Stability analysis; Stability criteria; Switched systems; Time varying systems; networked control systems; non-uniform sampling; stability analysis; switched systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2010

Conference_Location

Baltimore, MD

ISSN

0743-1619

Print_ISBN

978-1-4244-7426-4

Type

conf

DOI

10.1109/ACC.2010.5531455

Filename

5531455