Designing an appropriate adaptive controller for synchronizing a bi-oscillator heart model with time delay

Abstract

In this paper, synchronization of heart follower oscillator which has lower frequency AV with heart leader oscillator which has dominant frequency SA will be studied. It can be seen if two nodes SA and AV are not synchronized, different types of cardiac blocking arrhythmias occur. Thus, in this paper, beside putting voltage to node SA, by applying time delay in bi-oscillator model of heart system and designing appropriate controller via linear and adaptive methods, we try to prevent blocking arrhythmias of heart. Finally, we apply Lyapanuv stability theorem for ensuring convergence.