Synchronization of two different chaotic systems using novel adaptive fuzzy sliding mode control

Chaos

Volumn 18, Issue 3, 2008, Pages

  Roopaei, M ^a   Zolghadri Jahromi, M ^a  

^a SHIRAZ UNIVERSITY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54749113313     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2980046     Document Type: Article

References (70)

1. A. W. Hubler, Helv. Phys. Acta 62, 343 (1989).
2. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
3. T. L. Carroll and L. M. Pecora, IEEE Trans. Circuits Syst. 38, 453 (1991).
4. S. Boccaletti, J. Kurthsv, and G. Osiper, Phys. Rep. 366, 1 (2002).
5. G. Chen and X. Dong, From Chaos to Order Methodologies, Perspectives and Applications (World Scientific, Singapore, 1998).
6. H. G. Schuster, Handbook of Chaos Control (Wiley-VCH, Weinheim, 1999).
7. J. C. Sprott, Chaos and Time-Series Analysis (Oxford University Press, Oxford, 2003).
8. E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
9. Special issue on " Transfinite physics treading the path of Cantor and Einstein: A collection of papers in honor of the Egyptian, Engineering Scientist Mohammed El Naschie.," Chaos, Solitons Fractals 25 (4) (2005).
10. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Science (Cambridge University Press, Cambridge, 2001).
11. J. F. Heagy, T. L. Carroll, and L. M. Pecora, Phys. Rev. A 50, 1874 (1994).
12. J. F. Heagy, T. L. Carroll, and L. M. Pecora, Phys. Rev. E 52, R1253 (1995).
13. J. F. Heagy, L. M. Pecora, and T. L. Carroll, Phys. Rev. Lett. 74, 4185 (1995).
14. L. M. Pecora, T. L. Carroll, G. A. Johnson, D. J. Mar, and J. F. Heagy, Chaos 7, 520 (1997).
15. M. Zhan, G. Hu, and J. Z. Yang, Phys. Rev. E 62, 2963 (2000).
16. S. H. Wang, J. H. Xiao, X. G. Wang, B. Hu, and G. Hu, Eur. Phys. J. B 30, 571 (2002).
17. S. G. Guan, C.-H. Lai, and G. W. Wei, Phys. Rev. E 71, 036209 (2005).
18. A. N. Pisarchik, R. J. Reategui, J. R. V. Salazar, J. H. G. Lopez, and S. Boccaletti, Phys. Rev. Lett. 96, 244102 (2006).
19. P. Ashwin, J. Buescu, and I. Stewart, Phys. Lett. A 193, 126 (1994).
20. E. Ott and J. C. Summerer, Phys. Lett. A 188, 39 (1994).
21. E. Ott, J. C. Alexander, I. Kan, J. C. Summerer, and J. A. Yorke, Physica D 76, 384 (1994).
22. E. Ott, J. C. Sommerer, J. C. Alexander, I. Kan, and J. A. Yorke, Phys. Rev. Lett. 71, 4134 (1993).
23. J. F. Heagy, T. L. Carroll, and L. M. Pecora, Phys. Rev. Lett. 73, 3528 (1994).
24. Y.-C. Lai, C. Grebogi, J. A. Yorke, and S. C. Venkataramani, Phys. Rev. Lett. 77, 5047 (1996).
25. Y.-C. Lai and V. Andrade, Phys. Rev. E 64, 056228 (2001).
26. J. F. Heagy, N. Platt, and S. M. Hammel, Phys. Rev. E 49, 1140 (1994).
27. M. Barahona and L. M. Pecora, Phys. Rev. Lett. 89, 054101 (2002).
28. C. S. Zhou and J. Kurths, Phys. Rev. Lett. 96, 164102 (2006).
29. C. S. Zhou, A. E. Motter, and J. Kurths, Phys. Rev. Lett. 96, 034101 (2006).
30. L. Huang, K. Park, Y.-C. Lai, L. Yang, and K. Q. Yang, Phys. Rev. Lett. 97, 164101 (2006).
31. K. Pyragas, Phys. Rev. E 54, R4508 (1996).
32. S. Rim, I. Kim, P. Kang, Y. J. Park, and C. M. Kim, Phys. Rev. E 66, 015205 (2002).
33. V. V. Astakhov, V. S. Anishchenko, T. Kapitaniak, and A. V. Shabunin, Physica D 109, 11 (1997).
34. X. S. Yang, C. K. Duan, and X. X. Liao, Chaos, Solitons Fractals 10, 1457 (1999).
35. Y. Wang, Z. H. Guan, and X. Wen, Chaos, Solitons Fractals 19, 899 (2004).
36. L. O. Chua, T. Yang, G. Q. Zhong, and C. W. Wu, Int. J. Bifurcation Chaos Appl. Sci. Eng. 6, 189 (1996).
37. T. L. Liao, Chaos, Solitons Fractals 9, 1555 (1998).
38. K. Y. Lian, P. Liu, T. S. Chiang, and C. S. Chiu, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 49, 17 (2002).
39. C. W. Wu, T. Yang, and L. O. Chua, Int. J. Bifurcation Chaos Appl. Sci. Eng. 6, 455 (1996).
40. J. Q. Fang, Y. Hong, and G. Chen, Phys. Rev. E 59, R2523 (1999).
41. X. Yin, Y. Ren, and X. Shan, Chaos, Solitons Fractals 14, 1077 (2002).
42. X. Yu and Y. Song, Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, 1737 (2001).
43. J. Lu and S. Zhang, Phys. Lett. A 286, 145 (2001).
44. C. Wang and S. S. Ge, Chaos, Solitons Fractals 12, 199 (2001).
45. J. A. K. Suykens, P. F. Curran, J. Vandewalle, and L. O. Chua, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 44, 891 (1997).
46. K. Tanaka, T. Ikeda, and H. O. Wang, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 45, 1021 (1998).
47. L. A. Zadeh, Fuzzy Sets, Information and Control 8, 338 (1965).
48. C. L. Kuo, T. H. Li, and N. Guo, J. Intell. Robotic Syst. 42, 1 (2004).
49. G. Feng and G. Chen, Chaos, Solitons Fractals 23, 459 (2005).
50. Y. J. Xue and S. Y. Yang, Chaos, Solitons Fractals 17, 717 (2003).
51. C. Y. Su and Y. Stepanenko, IEEE Trans. Fuzzy Syst. 2, 285 (1994).
52. B. Yoo and W. Ham, IEEE Trans. Fuzzy Syst. 6, 315 (1998).
53. J. Wang, A. B. Rad, and P. T. Chan, Fuzzy Sets Syst. 122, 21 (2001).
54. S. W. Kim and J. J. Lee, Fuzzy Sets Syst. 71, 359 (1995).
55. R. G. Berstecher, R. Palm, and H. D. Unbehauen, IEEE Trans. Ind. Electron. IE-48, 18 (2001).
56. C. C. Kung and T. H. Chen, Fuzzy Sets Syst. 155, 292 (2005).
57. H. T. Yau and C. L. Chen, Chaos, Solitons Fractals 30, 709 (2006).
58. J. H. Park, Chaos, Solitons Fractals 27, 369 (2006).
59. J. E. Slotine and W. Li, Applied Nonlinear Control (Prentice-Hall, Englewood Cliffs, NJ, 1991).
60. C. Edwards and S. K. Spurgeon, Sliding Mode Control: Theory and Applications (CRC Press, Boca Raton, 1998).
61. C. L. Kuo, T. H. Li, and N. Guo, J. Intell. Robotic Syst. 42, 295 (2005).
62. L. X. Wang, A Course in Fuzzy Systems and Control (Prentice-Hall, Englewood Cliffs, NJ, 1997).
63. Y. G. Leu, T. T. Lee, and W. Y. Wang, IEEE Trans. Syst., Man, Cybern., Part B: Cybern. 29, 583 (1999).
64. H. X. Li and S. Tong, IEEE Trans. Fuzzy Syst. 11, 24 (2003).
65. C. H. Wang, H. L. Liu, and T. C. Lin, IEEE Trans. Fuzzy Syst. 10, 39 (2002).
66. J. Wang, A. B. Rad, and P. T. Chan, Fuzzy Sets Syst. 122, 21 (2001).
67. L. X. Wang, Adaptive Fuzzy Systems and Control (Prentice-Hall, Englewood Cliffs, NJ, 1994).
68. S. Sastry and M. Bodson, " Adaptive control.," in Stability, Convergence and Robustness (Prentice-Hall, Englewood Cliffs, NJ, 1989).
69. B. Wang and G. Wen, Phys. Lett. A 370, 35 (2007).
70. B. Liu, Y. Zhou, M. Jiang, and Z. Zhang, " Synchronizing chaotic systems using control based on tridiagonal structure.," Chaos Solitons Fractals (in press).