A type-2 fuzzy wavelet neural network for system identification and control

Journal of the Franklin Institute

Volumn 350, Issue 7, 2013, Pages 1658-1685

  Abiyev, Rahib H ^a   Kaynak, Okyay ^b   Kayacan, Erdal ^c  

^a NEAR EAST UNIVERSITY   (Turkey)

^b BOGAZICI UNIVERSITY   (Turkey)

^c UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

CLUSTERING ALGORITHMS; FUZZY CLUSTERING; FUZZY INFERENCE; FUZZY NEURAL NETWORKS; IDENTIFICATION (CONTROL SYSTEMS); POWER TRANSFORMERS; TIME VARYING SYSTEMS;

CONTROL PROBLEMS; GRADIENT LEARNING ALGORITHM; NONLINEAR UNCERTAIN SYSTEMS; STRUCTURE IDENTIFICATION; TYPE-2 FUZZY SET; TYPE-2 FUZZY SYSTEMS; WAVELET FUNCTION; WAVELET NEURAL NETWORKS;

FUZZY LOGIC;

EID: 84893647169     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2013.04.020     Document Type: Article

References (50)

1. J.-S. Jang, C.-T. Sun, E. Mizutani, Neuro-Fuzzy and Soft Computing, Prentice-Hall, New Jersey, 1997.
2. R. Abiyev, O. Kaynak, Fuzzy wavelet neural networks for identification and control of dynamic plants-a novel structure and a comparative study, IEEE Transactions on Industrial Electronics 55 (2008) 3133-3140.
3. M. Efe, O. Kaynak, On stabilization of gradient-based training strategies for computationally intelligent systems, IEEE Transactions on Fuzzy Systems 8 (5) (2000) 564-575.
4. P.-H. Chou, C.-S. Chen, F.-J. Lin, DSP-based synchronous control of dual linear motors via Sugeno type fuzzy neural network compensator, Journal of the Franklin Institute 349 (3) (2012) 792-812.
5. B. Xu, S. R. Pandian, N. Sakagami, F. Petry, Neuro-fuzzy control of underwater vehicle-manipulator systems, Journal of the Franklin Institute 349 (3) (2012) 1125-1138.
6. K.-H. Cheng, Auto-structuring fuzzy neural system for intelligent control, Journal of the Franklin Institute 346 (3) (2009) 267-288.
7. J. M. Mendel, Uncertain Rule-Based Fuzzy Logic System: Introduction and New Directions, New Jersey, Prentice-Hall, 2001.
8. L. A. Zadeh, The concept of linguistic variable and its application to approximate reasoning, Information Sciences 8 (1975) 199-249.
9. N. Karnik, J. Mendel, Q. Liang, Type-2 fuzzy logic systems, IEEE Transactions on Fuzzy Systems 7 (6) (1999) 643-658.
10. J. Mendel, R. John, F. Liu, Interval type-2 fuzzy logic systems made simple, IEEE Transactions on Fuzzy Systems 14 (6) (2006) 808-821.
11. N. N. Karnik, J. M. Mendel, Applications of type-2 fuzzy logic systems to forecasting of time-series, Information Sciences 120 (1-4) (1999) 89-111.
12. Q. Liang, J. Mendel, Equalization of nonlinear time-varying channels using type-2 fuzzy adaptive filters, IEEE Transactions on Fuzzy Systems 8 (5) (2000) 551-563.
13. H. Hagras, A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robots, IEEE Transactions on Fuzzy Systems 12 (4) (2004) 524-539.
14. Z. Liu, Y. Zhang, Y. Wang, A type-2 fuzzy switching control system for biped robots, IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews 37 (6) (2007) 1202-1213.
15. O. Castillo, P. Melin, Intelligent systems with interval type-2 fuzzy logic, International Journal of Innovative Computing, Information and Control 4 (2) (2008) 771-783.
16. G. M. Mendez, A. Cavazos, R. Soto, L. Leduc, Entry temperature prediction of a hot strip mill by a hybrid learning type-2 fls, Journal of Intelligent and Fuzzy Systems 17 (6) (2006) 583-596.
17. Y.-C. Lin, C.-H. Lee, System identification and adaptive filter using a novel fuzzy neuro system, International Journal of Computational Cognition 5 (1) (2007) 15-26.
18. R. H. Abiyev, O. Kaynak, Type 2 fuzzy neural structure for identification and control of time-varying plants, IEEE Transactions on Industrial Electronics 57 (12) (2010) 4147-4159.
19. R. H. Abiyev, O. Kaynak, T. Alshanableh, F. Mamedov, A type-2 neuro-fuzzy system based on clustering and gradient techniques applied to system identification and channel equalization, Applied Soft Computing 11 (1) (2011) 1396-1406.
20. C.-F. Juang, Y.-W. Tsao, A type-2 self-organizing neural fuzzy system and its FPGA implementation, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 38 (6) (2008) 1537-1548.
21. F.-J. Lin, P.-H. Chou, Adaptive control of two-axis motion control system using interval type-2 fuzzy neural network, IEEE Transactions on Industrial Electronics 56 (1) (2009) 178-193.
22. T. Kugarajah, Q. Zhang, Multidimensional wavelet frames, IEEE Transactions on Neural Networks 6 (6) (1995) 1552-1556.
23. Q. Zhang, A. Benveniste, Wavelet networks, IEEE Transactions on Neural Networks 3 (6) (1992) 889-898.
24. B. Khaki, B. Ranjbar-Sahraei, N. Noroozi, A. Seifi, Interval type-2 fuzzy finite-time control approach for chaotic oscillation damping of power systems, International Journal of Innovative Computing, Information and Control 7 (12) (2011) 6827-6835.
25. J. Zhang, G. Walter, Y. Miao, W. N. W. Lee, Wavelet neural networks for function learning, IEEE Transactions on Signal Processing 43 (6) (1995) 1485-1497.
26. M. Thuillard, Wavelets in Softcomputing, World Scientific Press, 2001.
27. M. AL-Rousana, K. Assaleh, A wavelet- and neural network-based voice system for a smart wheelchair control, Journal of the Franklin Institute 348 (1) (2011) 90-100 ISSN 0016-0032, http://dx.doi.org/10.1016/j.jfranklin. 2009.02.005.
28. D. Ho, P.-A. Zhang, J. Xu, Fuzzy wavelet networks for function learning, IEEE Transactions on Fuzzy Systems 9 (1) (2001) 200-211.
29. R. H. Abiyev, Fuzzy wavelet neural network for prediction of electricity consumption, Artificial Intelligence for Engineering Design, Analysis and Manufacturing 23 (2009) 109-118.
30. A. Sharifi, M. A. Shoorehdeli, M. Teshnehlab, Identification of cement rotary kiln using hierarchical wavelet fuzzy inference system, Journal of the Franklin Institute 349 (1) (2012) 162-183.
31. M. Singh, S. Srivastava, M. Hanmandlu, J. R. P. Gupta, Type-2 fuzzy wavelet networks (t2fwn) for system identification using fuzzy differential and lyapunov stability algorithm, Applied Soft Computing 9 (3) (2009) 977-989.
32. R. Abiyev, A type-2 fuzzy wavelet neural network for time series prediction, in: Trends in Applied Intelligent Systems. Lecture Notes in Computer Science, vol. 6098, Springer, Berlin/Heidelberg, 2010, pp. 518-527.
33. Q. Liang, J. Mendel, An introduction to type-2 tsk fuzzy logic systems, in: 1999 IEEE International Fuzzy Systems Conference Proceedings, FUZZ-IEEE'99, vol. 3, 1999, pp. 1534-1539.
34. M. Biglarbegian, W. Melek, J. Mendel, On the stability of interval type-2 tsk fuzzy logic control systems, Part B: Cybernetics, IEEE Transactions on: Cybernetics 40 (3) (2010) 798-818.
35. J. C. Bezdek, Pattern Recognition with Fuzzy Objective Function Algorithms, Plenum Press, New York, 1981.
36. N. Kasabov, Q. Song, DENFIS: dynamic evolving neural-fuzzy inference system and its application for time-series prediction, IEEE Transactions on Fuzzy Systems 10 (2) (2002) 144-154.
37. C. Hwang, F. C.-H. Rhee, Uncertain fuzzy clustering: interval type-2 fuzzy approach to c-means, IEEE Transactions on Fuzzy Systems 15 (1) (2007) 107-120.
38. F. Chung-Hoon Rhee, Uncertain fuzzy clustering: insights and recommendations, IEEE Computational Intelligence Magazine 2 (1) (2007) 44-56.
39. Q. Ren, L. Baron, M. Balazinski, Type-2 Takagi-Sugeno-Kang fuzzy logic modeling using subtractive clustering, in: Fuzzy Information Processing Society, 2006. NAFIPS 2006. Annual meeting of the North American, 2006, pp. 120-125.
40. S. L. Chiu, Fuzzy model identification based on cluster estimation, Journal on Intelligent Fuzzy Systems 2 (1994) 267-278.
41. L. X. Wang, A Course in Fuzzy Systems and Control, Prentice Hall, 1997.
42. C.-H. Lee, C.-C. Teng, Identification and control of dynamic systems using recurrent fuzzy neural networks, IEEE Transactions on Fuzzy Systems 8 (4) (2000) 349-366.
43. C.-H. Lee, Stabilization of nonlinear nonminimum phase systems: adaptive parallel approach using recurrent fuzzy neural network, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 34 (2) (2004) 1075-1088.
44. J. Elman, Finding structure in time, Cognitive Science 14 (1990) 179-211.
45. C.-F. Juang, C.-T. Lin, A recurrent self-organizing neural fuzzy inference network, IEEE Transactions on Neural Networks 10 (4) (1999) 828-845.
46. C.-F. Juang, A recurrent self-organizing neural fuzzy inference network, IEEE Transactions on Fuzzy Systems 10 (2) (2002) 155-170.
47. J. Chen, D. D. Bruns, WaveARX neural network development for system identification using a systematic design synthesis, Industrial and Engineering Chemistry Research 34 (1995) 4420-4435.
48. C.-J. Zhang, C. Shao, T.-Y. Chai, Indirect adaptive control for a class of linear time-varying plants, IEE Proceedings-Control Theory and Applications 145 (2) (1998) 141-149.
49. AMIRACorp., DR300 laboratory setup speed control with variable load, Technical Report, AMIRA, 2000.
50. C.-C. Ku, K. Lee, Diagonal recurrent neural networks for dynamic systems control, IEEE Transactions on Neural Networks 6 (1) (1995) 144-156.