Controlling and Synchronization of Chaotic System using FREN with Sliding Bounds

C. Treesatayapun and S. Uatrongjit

References

  1. [1] F.C. Moon, Chaotic and fractal dynamics (New York: Wiley, 1992).
  2. [2] G. Chen & X. Dong, From chaos to order: Perspectives and methodologies in controlling chaotic nonlinear dynamical systems, Int. Journal of Bifurcation Chaos, 3, 1993, 1363–1409. doi:10.1142/S0218127493001112
  3. [3] L.M. Pecora & T.L. Carroll, Synchronization in chaotic systems, Physics Review and Letter, 64(8), 1990, 821–824. doi:10.1103/PhysRevLett.64.821
  4. [4] Y.J. Xue & S.Y. Yang, Synchronization of generalized Hénon map by using adaptive fuzzy controller, Chaos, Solitons and Fractals, 17, 2003, 717–722. doi:10.1016/S0960-0779(02)00490-3
  5. [5] T. Liao & N. Huang, Adaptive synchronization of chaotic system and its application to secure communications, Chaos, Solitons and Fractals, 11, 2000, 1387–1396. doi:10.1016/S0960-0779(99)00051-X
  6. [6] A. Angeli, R. Genesio, & A. Tesi, Dead-beat chaos synchronization in discrete-time systems, IEEE Trans. on Circuits and System Part I, 42, 1995, 54–56. doi:10.1109/81.350802
  7. [7] M. Lakshmanan & K. Murali, Chaos in nonlinear oscillators: Controlling and synchronization (Singapore: World, 1996).
  8. [8] C.T. Lin & C.P. Jou, Controlling chaos by GA-based reinforcement learning neural network, IEEE Trans. on Neural Networks, 10, 1999, 846–859. doi:10.1109/72.774236
  9. [9] E. Ott, C. Grebogi, & J.A. Yorke, Controlling chaos, Physics Review and Letter, 64, 1990, 1196–1199. doi:10.1103/PhysRevLett.64.1196
  10. [10] W.D. Ditto, S.N. Rauseo, & M.L. Spano, Experimental control of chaos, Physics Review and Letter, 65, 1990, 3211–3214. doi:10.1103/PhysRevLett.65.3211
  11. [11] P.M. Alsing, A. Gavrielides, & V. Kovanis, Using neural networks for controlling chaos, Phys. Rev. E., 49, 1994, 1225–1231. doi:10.1103/PhysRevE.49.1225
  12. [12] K. Otawara & L.T. Fan, Controlling chaos with an artificial neural network, Proc. IEEE Int. Joint Conf. on Fuzzy Systems, 4, 1995, 1943–1948. doi:10.1109/FUZZY.1995.409945
  13. [13] L. Udawatta, K. Watanabe, K. Kiguchi, & K. Izumi, Fuzzychaos hybrid controller for controlling of nonlinear systems, IEEE Trans. on Fuzzy Systems, 10, 2002, 401–411. doi:10.1109/TFUZZ.2002.1006443
  14. [14] V.I. Utkin, Variable structure systems with sliding modes, IEEE Trans. on Automatic Control, AC-22, 1977, 212–222. doi:10.1109/TAC.1977.1101446
  15. [15] J.J. Slotine & S.S. Sastry, Tracking control of nonlinear systems using sliding surface, with application to robot manipulators, Int. Journal of Robotics, 4, 1983, 49–64.
  16. [16] K.D. Young & H.G. Kwatny, Variable structure servomechanism design and its application to overspeed protection control, Automatica, 18, 1982, 385–400. doi:10.1016/0005-1098(82)90068-1
  17. [17] J.J. Slotine, J.K. Hedricks, & E.A. Misawa, On sliding observers for nonlinear systems, ASME J. Dynamic Systems, Measurement and Control, 109, 1987, 245–252.
  18. [18] K. Furuta, Sliding mode control of a discrete system, Systems and Control Letter, 14, 1990, 145–152. doi:10.1016/0167-6911(90)90030-X
  19. [19] V.I. Utkin, Sliding mode control in discrete-time and difference systems, in A.S. Zinoder (Ed.) Variable structure and Lyapunov control (London: Springer-Verlag, 1993).
  20. [20] C.Y. Tang & E.A. Misawa, Discrete variable structure control for linear multivariable systems, ASME Journal of Dynamic Systems, Measurement and Control, 122, 2000, 783–792. doi:10.1115/1.1318944
  21. [21] E.A. Misawa, Discrete-time sliding mode control: The linear case, ASME Journal of Dynamic Systems, Measurement and Control, 119, 1997, 819–821. doi:10.1115/1.2802396
  22. [22] J.J. Slotine & W. Li, Applied nonlinear control (Upper Saddle River, NJ: Prentice Hall, 1991).
  23. [23] W. Gao, Y. Wang, & A. Homaifa, Discrete-time variable structure system, IEEE Trans. on Industrial Electronics, 42, 1995, 117–122. doi:10.1109/41.370376
  24. [24] A. Bartoszewicz, Discrete-time quasi-sliding-mode control strategies, IEEE Trans. on Industrial Electronics, 45, 1998, 633–635. doi:10.1109/41.704892
  25. [25] K. Furuta, VSS type self-tuning control, IEEE Trans. on Industrial Electronics, 40, 1993, 37–44. doi:10.1109/41.184819
  26. [26] C.H. Lee & C.C. Teng, Identification and control of dynamic system using recurrent fuzzy neural networks, IEEE Trans. on Fuzzy Systems, 8, 2000, 349–365. doi:10.1109/91.868943
  27. [27] C.T. Lin, C.F. Juang, & C.P. Li, Water bath temperature control with a neural fuzzy inference network, Fuzzy Sets and System, 111, 2000, 285–306. doi:10.1016/S0165-0114(98)00075-X
  28. [28] J.S. Jang, ANFIS: Adaptive-network-based fuzzy inference system, IEEE Trans. on Systems, Man and Cybernetics, 23, 1993, 665–685. doi:10.1109/21.256541
  29. [29] J.S. Jang, C.T. Sun, & E. Mizutani, Neuro-fuzzy and soft computing (Upper Saddle River, NJ: Prentice-Hall, 1997).
  30. [30] M. Chen & D.A. Linkens, A hybrid neuro-fuzzy PID controller, Fuzzy Sets and Systems, 99, 1998, 27–36. doi:10.1016/S0165-0114(96)00401-0
  31. [31] F. Cuesta, F. Gordillo, J. Aracil, & A. Ollero, Stability analysis of nonlinear multivariable Takagi-Sugeno fuzzy control systems, IEEE Trans. on Fuzzy systems, 7, 1999, 506–520. doi:10.1109/91.797976
  32. [32] C.T. Lin & C.S.G. Lee, Neural network based fuzzy logic control and decision system, IEEE Trans. on Computations, 40, 1993, 1320–1335. doi:10.1109/12.106218
  33. [33] C.H. Lee & C.C. Teng, Identification and control of dynamic systems using recurrent fuzzy neural networks, IEEE Trans. on Fuzzy Systems, 8, 2000, 349–366. doi:10.1109/91.868943
  34. [34] D. Chakraborty & N.R. Pal, Integrated feature analysis and fuzzy rule-based system identification in a neuro-fuzzy paradigm, IEEE Trans. on Systems, Man and Cybernetics, 31, 2001, 319–400. doi:10.1109/3477.931526
  35. [35] H.O. Wang & E.H. Abed, Bifurcation control of a chaotic system, Automatica, 31, 1995, 1213–1226. doi:10.1016/0005-1098(94)00146-A
  36. [36] R. Lima & M. Pettini, Suppression of chaos by resonant parametric perturbations, Physics Review, A41, 1990, 726–733. doi:10.1103/PhysRevA.41.726
  37. [37] K. Murali, M. Lakshmanan, & L.O. Chua, Controlling and synchronization of chaos in the simplest dissipative nonautonomous circuit, Int. Journal of Bifucation and Chaos Application Science Engineering, 5, 1995, 563-571. doi:10.1142/S0218127495000466

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