Robust synchronization of different coupled oscillators: Application to antenna arrays

Florin Doru Hutu 1 Sébastien Cauet 2 Patrick Coirault 2
1 SOCRATE - Software and Cognitive radio for telecommunications
Inria Grenoble - Rhône-Alpes, CITI - CITI Centre of Innovation in Telecommunications and Integration of services
Abstract : This paper deals with the synchronization of a chain of nonlinear and uncertain models of nonidentical oscillators. Using Lyapunov's theory of stability, a dynamical controller guaranteeing the synchronization of the oscillators is determined. The problem of synchronization is transformed into a problem of asymptotic stabilization for a nonlinear system and then is formulated as a system of linear matrix inequalities where the parameter variations of the two oscillators and their differences are modeled by polytopic matrices. The theoretical result is successfully applied to an array of transistor-based oscillators used in "smart antenna" systems.
Document type :
Journal articles
Complete list of metadatas

Cited literature [23 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01007680
Contributor : Florin Doru Hutu <>
Submitted on : Tuesday, June 17, 2014 - 8:33:35 AM
Last modification on : Tuesday, January 7, 2020 - 9:04:02 AM
Long-term archiving on: Wednesday, September 17, 2014 - 10:50:11 AM

File

franklin_institute.pdf
Files produced by the author(s)

Identifiers

Citation

Florin Doru Hutu, Sébastien Cauet, Patrick Coirault. Robust synchronization of different coupled oscillators: Application to antenna arrays. Journal of The Franklin Institute, Elsevier, 2009, 346 (5), pp.413-430. ⟨10.1016/j.jfranklin.2009.01.001⟩. ⟨hal-01007680⟩

Share

Metrics

Record views

297

Files downloads

413