Title :
Bifurcation control of two nonlinear models of cardiac activity
Author :
Brandt, Michael E. ; Chen, Guanrong
Author_Institution :
Med. Sch., Texas Univ., Houston, TX, USA
fDate :
10/1/1997 12:00:00 AM
Abstract :
This brief describes methods based on time-delay feedback (TDF) for bifurcation control of nonlinear models of chaotic cardiac activity. We describe a nonlinear bifurcation controller that makes use of a feedback reference signal and a linear autoregressive formulation for the gain. This controller is effective at stabilizing two diverse cardiac maps to a variety of periodic orbits. We contrast our approach with the OGY method which has been used to control some chaotic biological processes and recently, some nonchaotic, stochastic ones
Keywords :
autoregressive processes; bifurcation; biocontrol; cardiology; chaos; delay systems; feedback; nonlinear control systems; nonlinear dynamical systems; OGY method; bifurcation control; cardiac activity; chaotic biological process; gain; linear autoregression; nonchaotic stochastic process; nonlinear model; periodic orbit; time-delay feedback; Bifurcation; Cardiology; Chaos; Control systems; Feedback; Heart; Humans; Laboratories; Pacemakers; Timing;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on