Dynamical synchronization for coupled oscillators: application to antenna arrays

Author

Hutu, Florin ; Cauet, Sebastien ; Coirault, Patrick ; Launay, Frederic

Author_Institution

Lab. d´´Autom. et d´´Inf. Ind., ESIP, Poitiers

fYear

2006

fDate

6-10 Nov. 2006

Firstpage

282

Lastpage

287

Abstract

This paper treats the synchronization of two identical nonlinear oscillators. Using the Lyapunov theory of stability and the matrix separation lemma, a dynamical controller is determined. The problem is formulated as a system of linear matrix inequalities where the nonlinearity is bounded using the worst case. The concerned applications are "smart antenna" systems where the carrier signals must be built with the same frequency but independent phases and amplitudes

Keywords

Lyapunov methods; adaptive antenna arrays; linear matrix inequalities; nonlinear dynamical systems; oscillators; synchronisation; Lyapunov theory of stability; antenna arrays; coupled oscillators; dynamical controller; dynamical synchronization; identical nonlinear oscillators; linear matrix inequalities; matrix separation lemma; smart antenna systems; Antenna arrays; Antenna theory; Communication system control; Frequency synchronization; Linear antenna arrays; Linear matrix inequalities; Nonlinear dynamical systems; Nonlinear systems; Oscillators; Shape control;

fLanguage

English

Publisher

ieee

Conference_Titel

IEEE Industrial Electronics, IECON 2006 - 32nd Annual Conference on

Conference_Location

Paris

ISSN

1553-572X

Print_ISBN

1-4244-0390-1

Type

conf

DOI

10.1109/IECON.2006.347321

Filename

4152880