Numerical dynamic modeling and data driven control via least square techniques and Hebbian learning algorithm

International Journal of Numerical Analysis and Modeling

Volumn 7, Issue 1, 2010, Pages 66-86

  Liu, Xiaodong ^a   Zhang, Yanli ^b  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b SHENYANG NORMAL UNIVERSITY   (China)

Author keywords

Complex dynamic system; Fuzzy cognitive map; Hebbian learning algorithm; Least Square Learning; Takagi Sugeno model

Indexed keywords

EID: 70350331466     PISSN: 17055105     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (35)

1. J. Chang, J. H. Lin and T. D. Chiueh, Neural Network for Truck Backer-upper Control System, Industrial Automation and Control, International IEEE/IAS Conference on, May 1995: 328-334.
2. J. A. Dickerson, B. Kosko, Fuzzy virtual worlds, Artif. Intel. Expert, 1994, 7: 25-31.
3. R. E. Jenkins, B. P. Yuhas, A Simplified Neural Network Solution Through Problem Decomposition: The Case of the Truck Backer-Upper, IEEE Transactions on Neural Network, July 1993, 4(4): 718-720.
4. H. lchihashi, M. Tokunaga, Neuro-Fuzzy Optimal Control of Backing up a Trailer Truck, Proc. of IEEE International Conference on Neural Network, 1993, 1: 306-311.
5. H. Kinjo, B. Wang and T. Yamamoto, Backward Movement Control of Trailer-Truck System Using Neuro-controller Evolved by Genetic Algorithm, Industrial Electronics Society, 2000, IECON 2000, 26th Annual Conference of the IEEE, Vol. 1, 2000.
6. B. Kosko, Fuzzy cognitive maps, Internat. J. Man-Mach. Studies, 1986, 24: 65-75.
7. B. Kosko, Fuzzy Engineering, Englewood Cliffs, NJ: Prentice Hall, 1999.
8. B. Kosko, Differential Hebbian Learning, Proceedings American Institute of Physics, Neural Networks for Computing, April, 1986: 277-282.
9. D. E. Koulouriotis, I. E. Diakoulakis, D. M. Emiris, E. N. Antonidakis, I. A. Kaliakat- sos, Efficiently modelling and controlling complex dynamic systems using evolutionary fuzzy cognitive maps (Invited Paper), Internat. J. Comput. Cognition 1, 2003, 2: 41-65.
10. D. Nguyen and B. Widrow, The truck backer-upper: An example of self-learning in neural network, IEEE Contr. Syst. Mag., 1990, 10(3): 18-23.
11. K. E. Parsopoulos, E. I. Papageorgiou, P. P. Groumpos, M. N. Vrahatis, A first study of fuzzy cognitive maps learning using particle swarm optimization, Proc. IEEE 2003 Congr. on Evolutionary Computation, 2003: 1440-1447.
12. E. I. Papageorgiou, C. D. Stylios, P. P. Groumposa, Unsupervised learning techniques for fine-tuning fuzzy cognitive map causal links, International Journal of Human Computer Studies 2006, 64: 727-743.
13. E. I. Papageorgiou, C. D. Stylios, P. P. Groumpos, Active Hebbian learning algorithm to train fuzzy cognitive maps, International Journal of Approximate Reasoning, 2004, 37:219-249.
14. S. Renals, R. Rohwer, A study of net work dynamics, J. Statist. Phys., 1990, 58: 825-848.
15. C. D. Stylios, P. P. Groumpos, Fuzzy Cognitive Maps: a model for intelligent supervisory control systems, Computers in Industry, 1999, 39: 229-238
16. C. D. Stylios and P. P. Groumpos, Modeling complex systems using fuzzy cognitive maps, IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans, 2004, 34(1): 155-162.
17. A. K. Tsadiras, K. Margaritis, An experimental study of the dynamics of the certainty neuron fuzzy cognitive maps, Neurocomputing, 1999, 24: 95-116.
18. Massimo Bertolini, Assessment of human reliability factors: A fuzzy cognitive maps approach, International Journal of Industrial Ergonomics, 2007,37: 405-413.
19. E.I. Papageorgiou, P.P. Spyridonos, D. Th. Glotsos, C.D. Stylios, P. Ravazoula d, G.N. Nikiforidis, P.P. Groumpos, Brain tumor characterization using the soft computing technique of fuzzy cognitive maps, Applied Soft Computing, 2008, 8: 820-828.
20. Luis Rodriguez-Repiso, Rossitza Setchi, Jose L. Salmeron, Modelling IT projects suc- cess with Fuzzy Cognitive Maps, Expert Systems with Applications, 2007, 32: 543- 559.
21. Moon-Chan Kim, Chang Ouk Kim, Seong Rok Hong, Ick-Hyun Kwon, Forward-backward analysis of RFID-enabled supply chain using fuzzy cognitive map and genetic algorithm, Expert Systems with Applications, 2007.
22. T. Kottas, Y. Boutalis, and M. Christodoulou, A new method for weight updating in Fuzzy cognitive maps using system feedback, in Proc. 2nd ICINCO, Barcelona, Spain, Sep. 13-17, 2005: 202-209.
23. E.I. Papageorgiou, Peter P. Groumpos, A new hybrid method using evolutionary algorithms to train Fuzzy Cognitive Maps, Applied Soft Computing, 2005,5: 409-431.
24. D.E. Koulouriotis, I.E. Diakoulakis, D.M. Emiris, Learning fuzzy cognitive maps using evolution strategies: a novel schema for modeling and simulating high-level behavior, in: IEEE Congr. On Evolutionary Computation (CEC2001), 2001: 364-371.
25. Wojciech Stach, Lukasz Kurgan, Witold Pedrycz, Marek reformat genetic learning of fuzzy cognitive maps, Fuzzy Sets Syst. 2005, 153: 371-401.
26. M. Khan, A. Chong, Fuzzy cognitive map analysis with genetic algorithm, in: Proc. 1st Indian Internat. Conf. on Artificial Intelligence (IICAI-03), 2003.
27. K. Tanaka, T. Taniguchi, H.O. Wang, Fuzzy controller and observer design for backing control of a trailer-truck, Eng. Appl. Artif. Intell. 1997, 10(5): 441-452.
28. K. Tanaka, M. Sano, A robust stabilization problem of fuzzy control system and its application to backing up control of a truck-trailer, IEEE Transactions on Fuzzy Syst. 1994, 2(2): 119-134.
29. Lixin Wang, M.Mendel, Generating fuzzy rules by learning from examples, IEEE Transactions on Systems, Man, and Cybernetics, 1992, 22(6): 1414-1427.
30. Peter P. Groumpos, Chrysostomos D. Stylios, Modelling supervisory control systems using fuzzy cognitive maps, Chaos, Solitons and Fractals, 2000, 11: 329-336.
31. Baoyan Zhu, Qingling Zhang and Xuefeng Zhang, Decentralized Robust Guaranteed cost control for uncertain T-S fuzzy interconnected systems with time delay, Interna- tional Journal of Information and Systems Sciences, 2005, 1(1):73-88.
32. Mustapha Jazar and Steve Younan, Numerical Study of an Alternative Method of Fictitious Domain Technique Applied to Outside Domain Wave,International Journal of Information and Systems Sciences, 2005, 1(2):150-161.
33. Q. Liu, M. Fu and Z. Deng, Adaptive inverse control for nonlinear system,International Journal of Information and Systems Sciences, 2005, 1(2):253-263.
34. Y. Ma, Q. Zhang and X. Zhang, Decentralized output feedback robust control for a class of uncertain nonlinear circle-linked large-scale composite systems,Journal of Information and Systems Sciences, 2006, 2(1):20-30.
35. X. Liu, Y. Zhang and Y. Ren, Dynamics systems description and control based on date, Journal of Information and Systems Sciences, 2008, 4(3):335-347