An efficient interval type-2 fuzzy CMAC for chaos time-series prediction and synchronization

IEEE Transactions on Cybernetics

Volumn 44, Issue 3, 2014, Pages 329-341

  Lee, Ching Hung ^a   Chang, Feng Yu ^b   Lin, Chih Min ^b  

^a NATIONAL CHUNG HSING UNIVERSITY   (Taiwan)

^b YUAN ZE UNIVERSITY   (Taiwan)

Author keywords

Cerebellar model articulation controller (CMAC); chaos prediction; chaos synchronization; interval type 2 fuzzy system

Indexed keywords

EID: 84894690084     PISSN: 21682267     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCYB.2013.2254113     Document Type: Article

References (49)

1. J. S. Albus, "A new approach to manipulator control: The cerebellar model articulation controller (CMAC)," J. Dynamic Syst. Meas. Control, vol. 97, no. 3, pp. 220-227, 1975.
2. J. S. Albus, "Data storage in the cerebellar model articulation controller (CMAC)," J. Dynamic Syst. Meas. Control, vol. 97, no. 3, pp. 228-233, 1975.
3. A. L. Kun and W. T. Miller, "Control of variable speed gaits for a biped robot," IEEE Trans. Robot. Automation, vol. 6, no. 3, pp. 19-29, Sep. 1999. (Pubitemid 30505592)
4. C. M. Lin and T. Y. Chen, "Self-organizing CMAC control for a class of MIMO uncertain nonlinear systems," IEEE Trans. Neural Netw., vol. 20, no. 9, pp. 1377-1384, Apr. 2009.
5. C. M. Lin, L. Y. Chen, and D. S. Yeung, "Adaptive filter design using recurrent cerebellar model articulation controller," IEEE Trans. Neural Netw., vol. 21, no. 7, pp. 1149-1157, Jul. 2010.
6. J. Nie and D. A. Linkens, "FCMAC: A fuzzified cerebellar model articulation controller with self-organizing capacity," Automatica, vol. 30, no. 4, pp. 655-664, 1994. (Pubitemid 124008339)
7. J. S. Ker, C. C. Hsu, Y. H. Kuo, and B. D. Liu, "A fuzzy CMAC model for color reproduction," Fuzzy Sets Syst., vol. 91, no. 1, pp. 53-68, 1997.
8. K. Y. Young and S. J. Shiah, "An approach to enlarge learning space coverage for robot learning control," IEEE Trans. Fuzzy Syst., vol. 5, no. 4, pp. 511-522, Nov. 1997.
9. J. Sim, W. L. Tung, and Chai. Qeuk, "FCMAC-Yager: A novel yagerinference- scheme-based fuzzy CMAC," IEEE Trans. Neural Netw., vol. 17, no. 6, pp. 1394-1410, Nov. 2006. (Pubitemid 44824255)
10. W. Yu, F. O. Rodriguez, and M. A. Moreno-Armendariz, "Hierarchical fuzzy CMAC for nonlinear systems modeling," IEEE Trans. Fuzzy Systems, vol. 16, no. 5, pp. 1302-1314, Oct. 2008.
11. J. G. Juang and C. L. Lee, "Applications of cerebellar model articulation controllers to intelligent landing system," J. Univ. Comp. Sci., vol. 15, no. 13, pp. 2586-2607, 2009.
12. T. C. Yang and J. G. Juang, "Application of adaptive type-2 fuzzy CMAC to automatic landing system," in Proc. Int. Symp. Comput. Intell. Des., Oct. 2010, pp. 221-224.
13. L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning-1," Inform. Sci., vol. 8, no. 3, pp. 199-249, 1975.
14. Q. Liang and J. M. Mendel, "Interval type-2 fuzzy logic systems: Theory and design," IEEE Trans. Fuzzy Syst., vol. 8, no. 5, pp. 535-550, Oct. 2000.
15. J. M. Mendel, "On the importance of interval sets in type-2 fuzzy logic systems," in Proc. Joint 9th IFSA World Congr. 20th NAFIPS Int. Conf., vol. 3. 2001, pp. 1647-1652.
16. A. Celikyilmaz and I. B. Turksen, "Uncertainty modeling of improved fuzzy functions with evolutionary systems," IEEE Trans. Syst. Man Cybern., B, Cybern., vol. 38, no. 4, pp. 1098-1110, Aug. 2008.
17. J. M. Mendel, in Uncertain Rule-based Fuzzy Logic Systems: Introduction and New Directions. Upper Saddle River, NJ, USA: Prentice-Hall, 2001.
18. M. Biglarbegian, W. W. Melek, and J. M. Mendel, "On the stability of ineterval type-2 TSK fuzzy logic control systems," IEEE Trans. Syst. Man Cybern., B, Cybern., vol. 40, no. 3, pp. 798-818, Jun. 2010.
19. P. Melin, O. Mendoza, and O. Castillo, "An improved method for edge detection based on interval type-2 fuzzy logic," Expert Syst. Appl., vol. 37, no. 12, pp. 8527-8535, 2010.
20. P. Melin, O. Mendoza, and O. Castillo, "Face recognition with an improved interval type-2 fuzzy logic Sugeno integral and modular neural networks," IEEE Trans. Syst. Man Cybern., A, Syst. Humans, vol. 41, no. 5, pp. 1001-1012, Sep. 2011.
21. C. F. Juang and C. H. Hsu, "Reinforcement interval type-2 fuzzy controller design by online rule generation and Q-value-aided ant colony optimization," IEEE Trans. Syst. Man Cybern., B, Cybern., vol. 39, no. 6, pp. 1528-1542, Dec. 2009.
22. H. A. Hagras, "Type-2 fuzzy control: A new generation of fuzzy controllers," IEEE Comput. Intell. Mag., vol. 2, no. 1, pp. 30-43, May 2007.
23. O. Castillo, P. Melin, and W. Pedrycz, "Design of interval type-2 fuzzy models through optimal granularity allocation," Appl. Soft Comput., vol. 11, no. 8, pp. 5590-5601, 2011.
24. O. Castillo and P. Melin, "A review on the design and optimization of interval type-2 fuzzy controller," Appl. Soft Comput., vol. 12, no. 4, pp. 1267-1278, 2012.
25. D. Hidalgo, P. Melin, and O. Castillo, "An optimization method for designing type-2 fuzzy inference systems based on the footprint of uncertainty using genetic algorithms," Expert Syst. Appl., vol. 39, no. 4, pp. 4590-4598, 2012.
26. O. Castillo and P. Melin, "Optimization of type-2 fuzzy systems based on bio-inspired methods: A concise review," Inform. Sci., vol. 205, pp. 1-19, Nov. 2012.
27. N. N. Karnik and J. M. Mendel, "Centroid of a type-2 fuzzy set," Inform. Sci., vol. 132, no. 1-4, pp. 195-220, 2001. (Pubitemid 32273094)
28. M. A. Melgarejo, R. A. Garcia, and C. A. Pena-Reyes, "Pro-two: A hardware based platform for real time type-2 fuzzy inference," in Proc. IEEE Int. Conf. Fuzzy Syst., Jul. 2004, pp. 977-982. (Pubitemid 40028031)
29. C. Lynch, H. Hagras, and V. Callaghan, "Embedded type-2 FLC for real-time speed control of marine and traction diesel engines," in Proc. 2005 IEEE Int. Conf. Fuzzy Syst., pp. 347-352, May 2005. (Pubitemid 41189531)
30. H. Wu and J. M. Mendel, "Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems," IEEE Trans. Fuzzy Syst., vol. 10, no. 5, pp. 622-639, Oct. 2002. (Pubitemid 35274824)
31. A. Gholipour, B. N. Araabi, and C. Lucas, "Predicting chaotic time series using neural and neurofuzzy models: A comparative study," Neural Process. Lett., vol. 24, no. 3, 217-239, 2006. (Pubitemid 44673845)
32. M. Casdagli, "Nonlinear prediction of chaotic time series," Phys. D Nonlinear Phenomena, vol. 35, no. 3, pp. 335-356, 1989.
33. L. Cao, Y. Hong, H. Fang, and G. He, "Predicting chaotic time series with wavelet network," Phys. D Nonlinear Phenomena, vol. 85, no. 1-2, pp. 225-238, 1995.
34. V. A. Gromov and A. N. Shulga, "Chaotic time series prediction with employment of ant colony optimization," Expert Syst. Appl., vol. 39, no. 9, pp. 8474-8478, 2012.
35. L. M. Pecora and T. L. Carroll, "Synchronization in chaotic systems," Phys. Rev. Lett., vol. 64, no. 8, pp. 821-824, 1990.
36. K. Y. Lian, C. S. Chiu, T. S. Chiang, and P. Liu, "LMI-based fuzzy chaotic synchronization and communication," IEEE Trans. Fuzzy Syst., vol. 9, no. 4, pp. 539-553, Aug. 2001. (Pubitemid 32933041)
37. Y. J. Xue and S. Y. Yang, "Synchronization of generalized Henon map by using adaptive fuzzy controller," Chaos Solitons Fractals, vol. 17, no. 4, pp. 717-722, 2003.
38. M. T. Yassen, "Chaos synchronization between two different chaotic system using active control," Chaos Solitons Fractals, vol. 23, no. 1, pp. 131-140, 2005.
39. H. T. Yau and J. J. Yan, "Chaos synchronization of different chaotic systems subjected to input nonlinearity," Appl. Math. Comput., vol. 197, no. 2, pp. 775-788, 2008.
40. H. T. Yau and C. S. Shieh, "Chaos synchronization using fuzzy logic controller," Nonlinear Anal. Real World Appl., vol. 9, no. 4, pp. 1800- 1810, 2008.
41. C. H. Lee and F. Y. Chang, "Interval type-2 recurrent fuzzy neural system for nonlinear systems control using stable simultaneous perturbation stochastic approximation algorithm," Math. Problems Eng., vol. 2011, article 102436, p. 21.
42. J. F. Baldwin and S. B. Karake, "Asymmetric triangular fuzzy sets for classification models," Lecture Notes Comp. Sci., vol. 2773, pp. 364- 370, Sep. 2003. (Pubitemid 37230696)
43. C. H. Lee and H. Y. Pan, "Performance enhancement for neural fuzzy systems using asymmetric membership functions," Fuzzy Sets Syst., vol. 160, no. 7, pp. 949-971, 2009.
44. C. H. Lee and C. C. Teng, "Identification and control of dynamic systems using recurrent fuzzy neural networks," IEEE Trans. Fuzzy Systems, vol. 8, no. 4, pp. 349-366, Aug. 2000.
45. C. M. Lin and C. F. Hsu, "Supervisory recurrent fuzzy neural network control of wing rock for slender delta wings," IEEE Trans. Fuzzy Systems, vol. 12, no. 5, pp. 733-742, Oct. 2004.
46. K. S. Narendra and K. Parthasarathy, "Identification and control of dynamical systems using neural networks," IEEE Trans. Neural Netw., vol. 1, no. 1, pp. 4-27, Mar. 1990. (Pubitemid 20689507)
47. F. J. Lin, R. J. Wai, and H. P. Chen, "A PM synchronous servo motor drive with an on-line trained fuzzy neural network controller," IEEE Trans. Energy Conversion, vol. 13, no. 4, pp. 319-325, Dec. 1998.
48. J. R. Castro, O. Castillo, P. Melin, and A. R. Diaz, "A hybrid learning algorithm for a class of interval type-2 fuzzy neural networks," Inform. Sci., vol. 179, no. 13, pp. 2175-2193, 2009.
49. G. Chen, Y. Chen, and H. Ogmen, "Identifying chaotic systems via a Wiener-type cascade model," IEEE Trans. Control Syst. Mag., vol. 17, no. 5, pp. 29-36, Oct. 1997. (Pubitemid 127595774)