Chaotic synchronization between oscillators using robust GPI control

Alberto Luviano-Juárez, John Cortés-Romero, Hebertt Sira-Ramírez

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Scopus citations

Abstract

We tackle the problem of synchronization of two oscillators as a control problem. The system to control is taken as a chain of integrators control where the remainder of the dynamics is considered as an additive disturbance. This disturbance is locally approximated by a m-order time polynomial and then it is cancelled out by means of a robust Generalized Proportional Integral controller. Two examples are shown. The first one is a Duffing system as a reference and a controlled Van Der Pol as a tracker, and the second example is the synchronization of two Rossler's systems. Some numerical results are shown.

Original languageEnglish
Title of host publication2008 5th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2008
Pages114-119
Number of pages6
DOIs
StatePublished - 2008
Externally publishedYes
Event2008 5th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2008 - Mexico City, Mexico
Duration: 12 Nov 200814 Nov 2008

Publication series

Name2008 5th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2008

Conference

Conference2008 5th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2008
Country/TerritoryMexico
CityMexico City
Period12/11/0814/11/08

Keywords

  • Chaotic oscillators
  • Generalized proportional integral control
  • Nonlinear systems

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