Tracking control of chaotic coronary artery system

International Journal of Systems Science

Volumn 43, Issue 1, 2012, Pages 21-30

  Li, Wenlei ^a  

^a NINGBO UNIVERSITY   (China)

Author keywords

backstepping technique; chaotic system; coronary artery; Nussbaum gain

Indexed keywords

ADAPTIVE ROBUST CONTROLLERS; BACK-STEPPING METHOD; BACKSTEPPING TECHNIQUE; CORONARY ARTERIES; DESIGN PARAMETERS; DYNAMIC UNCERTAINTY; EXOGENOUS DISTURBANCES; NEIGHBOURHOOD; NONLINEAR TRACKING CONTROLLER; NUSSBAUM GAIN; NUSSBAUM-TYPE FUNCTIONS; SINGULAR PROBLEM; TRACKING CONTROL PROBLEM; TRACKING CONTROLS; TRACKING ERRORS; UNIFORMLY BOUNDED; UNKNOWN PARAMETERS;

CHAOTIC SYSTEMS; CLOSED LOOP CONTROL SYSTEMS; SHIP STEERING EQUIPMENT;

BACKSTEPPING;

EID: 84863177004     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207721003764125     Document Type: Article

References (26)

1. Chen, F.X., Chen, L., and Zhang, W.D. (2008), 'Stabilization of Parameters Perturbation Chaotic System via Adaptive Backstepping Technique', Applied Mathematics and Computation, 200, 101-109.
2. Chen, J.L., Tseng, Y.J., Chiu, H.W., and Chee, W.C. (2007), 'Nonlinear Analysis of Heart Rate Dynamics in Hyperthyroidism', Physiological Measurement, 28, 427-437.
3. Chen, C.L., Yau, H.T., and Peng, C.C. (2007), 'Design of Extended Backstepping Sliding Mode Controller for Uncertain Chaotic Systems', International Journal of Nonlinear Sciences and Numerical simulation, 8, 137-145.
4. Coast, D.A., Stern, R.M., Cano, G.G., and Briller, S.A. (1990), 'An Approach to Cardiac Arrhythmia Analysis Using Hidden Markov Models', IEEE Transactions on Biomedical Engineering, 37, 826-836.
5. Du, H.B., Shao, H.H., and Yao, P.J. (2006), 'Adaptive Neural Network Control for a Class of Low-triangular-StructuredNonlinear Systems', IEEE Transactions on Neural Networks, 17, 509-514.
6. Garfinkel, A., Spano, M.L., Ditto, W.L., and Weiss, J.N. (1992), 'Controlling Cardiac Chaos', Science, 257, 1230-1235.
7. Ge, S.S., Hong, F., and Lee, T.H. (2004), 'Adaptive Neural Control of Nonlinear Time-delay Systems With Unknown Virtual Control Coefficients', IEEE Transactions on Systems, Man and Cybernetics -Part B: Cybernetics, 34, 499-516.
8. Ge, S.S., and Wang, J. (2002), 'Robust Adaptive Control for a Class of Perturbed Strict Feedback Nonlinear System', in Proceeding of the 2002 IEEE International Symposium on Intelligent Control, Vancouver, pp. 596-601.
9. Ge, S.S., and Wang, J. (2003), 'Robust Adaptive Tracking for Time Varying Uncertain Nonlinear Systems with Unknown Control Coefficients', IEEE Transaction on Automatic Control, 48, 1463-1469.
10. Gong, C.Y., Li, Y.M., and Sun, X.H. (2006), 'Backstepping Control of Synchronization for Biomathematical Model of Muscular Blood Vessel', Journal of Applied Sciences, 24, 604-607.
11. Guan, X.P., Fan, Z.P., Chen, C.L., and Hua, C.C. (2002), Chaotic Control and its Application in Secret Communication, Beijing: National Defense Industry Press.
12. Johnson, C.A., Martino, R.L., and Yap, T.K. (1990), 'Realtime Detection of Epileptogenic Discharges Using Autoregressive Prediction', in Proceedings of the 1990 Sixteenth Annual Northeast Bioengineering Conference, pp. 89-90.
13. Krstic, M., Kanellakopoulos, I., and Kokotovic, P.V. (1995), Nonlinear and Adaptive Control Design, New York: Wiley.
14. Li, W.L. (2007), 'Robust Adaptive Control of Chaotic Power Systems with Uncertainty', Electric Machines and Control, 11, 170-173.
15. Li, W.L., Lin, W.X., and Liu, S.R. (2006), 'The Application of Robust Adaptive Output Tracking Control in Ship Maneuvering Autopilot', Journal of System Simulation, 18, 3250-3254.
16. Meza, M.E.M., Bhaya, A., Kaszkurewicz, E., and da Silveira Costa, M.I. (2005), 'Threshold Policies Control for Predator-Prey Systems Using a Control Lyapunov Function Approach', Theoretical Population Biology, 67, 273-284.
17. Moisé s, O.V., and Hector, P. (2006), 'A Cascade Control Approach for a Class of Biomedical Systems', in Proceedings of the 28th IEEE EMBS Annual International Conference, New York, USA, pp. 4420-4423.
18. Nussbaum, R.D. (1983), 'Some Remarks on the Conjecture in Parameter Adaptive Control', Systems and Control Letters, 3, 243-246.
19. Schauer, T., Negard, N.O., Previdi, F., Savaresi, S., and Hunt, K. (2005), 'Online Identification and Nonlinear Control of the Electrically Stimulated Quadriceps Muscle', Control Engineering Practice, 13, 1207-1219.
20. Skinner, J.E., Molnar, M., Vybiral, T., and Mitra, M. (1992), 'Application of Chaos Theory to Biology and Medicine', Integrative Psychological and Behavioral Science, 27, 39-53.
21. Trzeciakowski, J., and Chilian, W.M. (2008), 'Chaotic Behavior of the Coronary Circulation', Medical and Biological Engineering and Computing, 4, 433-442.
22. Wagner, C.D., and Persson, P.B. (1998), 'Chaos in the Cardiovascular System: An Update', Cardiovascular Research, 40, 257-264.
23. Yau, H.T., and Chen, C.L. (2006), 'Chattering-free Fuzzy Sliding-mode Control Strategy for Uncertain Chaotic Systems', Chaos, Solitons and Fractals, 30, 709-718.
24. Yau, H.T., and Yan, J.J. (2004), 'Design of Sliding Mode Controller for Lorenz Chaotic System with Nonlinear Input', Chaos, Solitons and Fractals, 19, 891-898.
25. Ye, X. (1999), 'Asymptotic Regulation of Time-varying Uncertain Nonlinear Systems with Unknown Control Directions', Automatica, 35, 929-935.
26. Ye, X.D., and Jiang, J.P. (1998), 'Adaptive Nonlinear Design Without A Priori Knowledge of Control Direction', IEEE Transactions on Automatic Control, 43, 1617-1621.