A state observer and a synchronization method for heart pacemakers

H. Gholizade-Narm, A. Azemi, M. Khademi, M. Karimi-Ghartemani

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


In this study a synchronization method is developed to prevent the blocking arrhythmias which are caused by lack of synchronization between the two major heart pacemakers called the Sino-Atrial (SA) node and Atrio-Ventricullar (AV) node. Such pacemakers can be modeled by the Van der Pol oscillators. Feedback linearization method is used in synchronization. Since all states are not always available, they are estimated by a new observer in this research. To design the observer, first we introduce a robust observer for a unique Van der Pol oscillator. The robustness of proposed observer is obtained using gain and phase margins test. The observer variables are such that the error dynamical system is linear time varying and we use describing function method to prove its convergence. This observer is then extended to two unidirectional and bidirectional coupled Van der Pol Oscillators. To prove the stability, a novel nonlinear function structure is introduced to seclude the coupled Van der Pol oscillators to two isolated oscillators. The performance of the proposed method is investigated by numerical simulations.

Original languageEnglish (US)
Pages (from-to)3175-3182
Number of pages8
JournalJournal of Applied Sciences
Issue number18
StatePublished - 2008

All Science Journal Classification (ASJC) codes

  • General


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