On Synchronization Errors in Networked Feedback Systems

Author

Lorand, Cédric ; Bauer, Peter H.

Author_Institution

Dept. of Electr. Eng., Notre Dame Univ., IN

Volume

53

Issue

10

fYear

2006

Firstpage

2306

Lastpage

2317

Abstract

This paper addresses the problem of synchronization errors and their effects on feedback loops that are closed over communication networks. It is assumed that the feedback loop consists of two discrete-time systems, the clock frequency ratio of which has a special rational form, and is close to one. A Toeplitz matrix approach is taken to model the input/output relationship of the arising feedback systems. Based on this representation, the effect of synchronization errors on stability of the feedback systems is analyzed. It is shown that stability of the synchronized feedback loop can not guarantee stability of the loop in the presence of synchronization errors. Necessary and sufficient stability conditions are derived

Keywords

Toeplitz matrices; discrete time systems; feedback; stability; synchronisation; BIBO stability; discrete time systems; feedback systems; local area networks; networked control systems; synchronization; Circuits; Clocks; Control systems; Feedback loop; Frequency synchronization; Intelligent networks; Stability; Switched systems; Switches; Wireless sensor networks; BIBO stability; Networked control systems; discrete-time; feedback systems; local area networks; synchronization;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2006.882824

Filename

1710210