Computer simulation and method for heart rhythm control based on ECG signal reference tracking

WSEAS Transactions on Systems

Volumn 9, Issue 3, 2010, Pages 263-272

  Lopez M J ^a   Consegliere, A ^a   Lorenzo, J ^a   Garcia L ^a  

^a UNIVERSITY OF CÁDIZ   (Spain)

Author keywords

Chaotic behavior; Control law; Heartbeat control; Simulation; Synchronization

Indexed keywords

BEHAVIOR-BASED; CHAOTIC BEHAVIORS; CONTROL ALGORITHMS; CONTROL LAWS; CONTROL SIMULATION; DELAYED EQUATION; DYNAMICAL BEHAVIORS; ECG SIGNALS; ELECTROCARDIOGRAM SIGNAL; FREQUENCY DOMAINS; HEART RATE VARIABILITY; HEART RATES; MODEL PARAMETERS; NORMAL BEHAVIOR; NUMERICAL SIMULATION; REFERENCE MODELS; REFERENCE SIGNALS; REFERENCE SYSTEMS; REFERENCE-TRACKING; STANDARD DEVIATION; THIRD ORDER; TRACKING ERROR SIGNALS; TWO PARAMETER;

ALGORITHMS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; DYNAMICAL SYSTEMS; ELECTROCARDIOGRAPHY; ELECTROCHROMIC DEVICES; HEART; NONLINEAR DYNAMICAL SYSTEMS; SIGNAL PROCESSING;

MATHEMATICAL MODELS;

EID: 77950600007     PISSN: 11092777     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. Enderle J. S. Blanchard, J. Bronzino (2005). Introduction to Biomedical Engineering. Elsevier.
2. Ottesen J. T., M. S. Olufsen, J. K. Larsen (2004). Applied Mathematical Models in Human Physiology. SIAM (Society for Industrial and Applied Mathematics).
3. Khoo M. C. K. (2000). Physiological Control Systems. IEEE Press.
4. Pecora L. M., T. L. Carrol (1990). Synchronization in chaotic systems. Physical Review Letter, 64, pp 821=824.
5. Sprott J. C. (2006). Chaos and Time-Series Analysis. Oxford University Press.
6. Gonzalez-Miranda J. M. (2004). Synchronization and control of chaos. Imperial College Press.
7. Pikovsky A., M. Rosenblum, J. Kurths (2001). Synchronization. A universal concept in nonlinear sciences. Cambridge University Press.
8. Guckenheimer J., P. Holmes (1983). Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Springer.
9. Fang J-Q (2009), A new research direction on chaos control: multi-objective control and its application. Plenary session. Mathematical Methods, System Theory and Control. Proceedings of the 8th WSEAS International Conference on Nonlinear Analysis, Nonlinear Systems and Chaos (NOLASC'09).
10. Aguilar A. Y., Cruz-Hernandez C. (2002). Synchronization of two hyperchaotic Rossler systems: Model matching approach. WSEAS Transactions on Systems, pp 198-203.
11. Skogestad S., I. Postlethwaite (2001). Multivariable Feedback Control.
12. Grimble M. J. (2001). Industrial control system design. Wiley.
13. Zhou K., J. C. Doyle, K. Glover (1996). Robust and optimal control. Prentice Hall.
14. Lopez M. J., Verdulla F. M., Prian M. (2007), Chaos Control Based on Nonlinear State Feedback and Linear H-infinity Controller Synthesis. WSEAS Transactions on Systems, Vol 6, No. 1, pp 68-75.
15. Signorini M. G., S. Cerutti (1998). Simulation of heartbeat dynamics: A non-linear model. International journal of Bifurcation and Chaos, 8, pp 1725-1731. (Pubitemid 128341716)
16. Di Bernardo, M. G. Signorini, S. Cerutti (1998). A model of two non-linear coupled oscillators for the study of heartbeat dynamics. International journal of Bifurcation and Chaos, 8, pp 1975-1985. (Pubitemid 128355279)
17. Brandt M. E., G. Wang, H-T Shih (2003). Feedback control of a nonlinear dual-oscillator heartbeat model. Bifurcation Control, Eds. G. Chen, D. J. Hill, X. Yu. pp 265-273. Springer.
18. Grudzinski K., J. J. Zebrowski (2003). Modeling cardiac pacemakers with relaxation oscillators. Physica A 336, pp 153-162.
19. Santos dos, A. M., S. R. Lopes, R. L. Viana (2004). Rhythm synchronization and chaotic modulation of coupled Van der Pol oscillators in a model for the heartbeat. Physica A 338, pp 335-355.
20. Gois S R. F. S. M., M. A. Savi (2009). An analysis of heart rhythm dynamics using a three-coupled oscillator model. Chaos, Solitons and Fractals 41, pp 2553-2565.
21. Mathworks (2009). Simulink and Matlab. www.mathworks.com
22. Shampine L.F., Thompson S. (2000). Solving Delay Differential Equations with dde23. Department of Mathematics and Statistics, Radford University, USA.
23. McSharry P. E., G. D. Clifford, L. Tarassenko, L. A. Smith (2003). A dynamical model for generating synthetic electrocardiogram signals. IEEE Transactions on Biomedical Engineering, Vol. 50, No. 3, pp 289-294. (Pubitemid 36331670)
24. Stefanovska A., M. Bracic (1999). Reconstructing cardiovascular dynamics. Control Engineering Practice 7, pp 161-172.
25. Small M. (2005). Applied nonlinear time series analysis. Applications in physics, physiology and finance. World Scientific.
26. Grigoras V., Grigoras C. (2007), Identifying Sleep Disorder by Means of Chaos Control. Proceedings of the 6th WSEAS International Conference on Nonlinear Analysis, Nonlinear Systems and Chaos (NOLASC'07), pp 95-100.