Stability analysis for distributed-parameter systems interconnected via feedback channels with time-varying delay

Author

Cantoni, Marco ; Chung-Yao Kao

Author_Institution

Univ. of Melbourne, Melbourne, VIC, Australia

fYear

2012

fDate

10-13 Dec. 2012

Firstpage

5737

Lastpage

5742

Abstract

This paper establishes a sufficient condition for the stability of a structured class of feedback systems. Specifically, interconnections of constantly-proper Callier-Desoer distributed-parameter transfer functions, via bandwidth-limited feedback channels with time-varying delay. The point-wise in frequency stability condition is obtained by applying a recent robustness result that involves integral-quadratic-constraints and a linear time-varying generalization of the ν-gap metric.

Keywords

delays; distributed parameter systems; feedback; frequency stability; interconnected systems; linear systems; time-varying systems; transfer functions; ν-gap metric; bandwidth-limited feedback channels; constantly-proper Callier-Desoer transfer functions; distributed-parameter systems; frequency stability condition; integral-quadratic-constraints; interconnections; linear time-varying generalization; point-wise; structured class; time-varying delay; Delay; Frequency domain analysis; Robust stability; Stability analysis; Time varying systems; Transfer functions; ν-gap metric; Distributed-parameter systems; IQCs; feedback stability; time-varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Conference_Location

Maui, HI

ISSN

0743-1546

Print_ISBN

978-1-4673-2065-8

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2012.6427104

Filename

6427104