Adaptive fuzzy wavelet network control design for nonlinear systems

Fuzzy Sets and Systems

Volumn 159, Issue 20, 2008, Pages 2668-2695

  Zekri, Maryam ^a   Sadri, Saeed ^a   Sheikholeslam, Farid ^a  

^a ISFAHAN UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Adaptive controller; Feedback linearization control; Fuzzy wavelet networks; Nonlinear systems; Wavelet neural networks

Indexed keywords

ADAPTIVE SYSTEMS; CONTROL SYSTEMS; CURVE FITTING; FEEDBACK LINEARIZATION; FUZZY CONTROL; FUZZY RULES; FUZZY SETS; LAWS AND LEGISLATION; LEAST SQUARES APPROXIMATIONS; LINEARIZATION; MEMBERSHIP FUNCTIONS; MULTIRESOLUTION ANALYSIS; NEURAL NETWORKS; NONLINEAR NETWORK ANALYSIS; NONLINEAR SYSTEMS; PENDULUMS; REAL TIME SYSTEMS; SOLUTE TRANSPORT; WAVELET TRANSFORMS;

ADAPTIVE APPROACH; ADAPTIVE CONTROLLER; ADAPTIVE FUZZY; ADAPTIVE GAINS; ADJUSTABLE PARAMETERS; AFFINE SYSTEMS; CLOSED-LOOP STABILITY; CON TROL ALGORITHMS; FEEDBACK LINEARIZATION CONTROL; FUZZY CONCEPTS; FUZZY WAVELET NETWORKS; INVERTED PENDULUM SYSTEMS; NOMINAL SYSTEMS; ORTHOGONAL LEAST SQUARES; REAL-TIME OPERATIONS; SECOND ORDERS; SIMULATION RESULTS; TRAINING DATA SETS; TRANSIENT RESPONSE CHARACTERISTICS; TRANSLATION PARAMETERS; WAVELET NETWORKS; WAVELET NEURAL NETWORK; WAVELET NEURAL NETWORKS;

ADAPTIVE CONTROL SYSTEMS;

EID: 48949101730     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2008.02.008     Document Type: Article

References (39)

1. R.H. Abiyev, Controller based of fuzzy wavelet neural network for control of technological processes, in: IEEE Internat. Conf. on CIMSA, 2005, pp. 215-219.
2. Billings S.A., and Wei H.L. A new class of wavelet networks for nonlinear system identification. IEEE Trans. Neural Networks 16 (2005) 826-874
3. Chang C.M., and Liu T.S. A wavelet network control method for disk drives. IEEE Trans. Control Systems Technol. 14 (2006) 63-68
4. Chen J., and Bruns D.D. Wave ARX: neural network development for system identification using systematic design synthesis. Ind. Eng. Chem. Res. 34 (1995) 4420-4435
5. Chen J.Y., and Wong C.C. Implementation of the Takagi-Sugeno model-based fuzzy control using an adaptive gain controller. IEEE Proc. Control Theory Appl. 147 (2000) 509-514
6. Chui C.K. An Introduction to Wavelets (1992), Academic Press, NY, USA
7. Chen S., Cowan C.F.N., and Grant P.M. Orthogonal least squares learning algorithm for radial basis function networks. IEEE Trans. Neural Networks 2 (1991)
8. Daubechies I. The wavelet transform, time frequency localization and signal analysis. IEEE Trans. Inform. Theory 36 (1990) 961-1005
9. Harris C., Hong X., and Gan Q. Adaptive Modelling, Estimation and Fusion from Data (2002), Springer, Berlin
10. Ho D., Zhang P.A., and Xu J. Fuzzy wavelet networks for function learning. IEEE Trans. Fuzzy Systems 9 (2001) 200-211
11. Hojati M., and Gazor S. Hybrid adaptive fuzzy identification and control of nonlinear systems. IEEE Trans. Fuzzy Systems (2002) 198-210
12. Holmes C.C., and Mallick B.K. Bayesian wavelet networks for nonparametric regression. IEEE Trans. Neural Networks 11 1 (2000) 27-35
13. Iyengar S.S., Cho E.C., and Phoha V.V. Foundations of wavelet networks and applications (2002), CRC Press, Boca Raton, FL
14. Jane J.S.R., Sun C.T., and Mizutani E. Neuro-fuzzy and Soft Computing (1997), Prentice-Hall, Englewood Cliffs, NJ
15. Jang J.-S.R. ANFIS: adaptive-network-based fuzzy inference system. IEEE Trans. Systems Man Cybernet. 23 (1993) 665-685
16. Jang J.R., and Sun C. Neuro-fuzzy modeling and control. Proc. IEEE 83 (1995) 378-406
17. Khalil H.K. Nonlinear Systems. third ed. (2005), Prentice-Hall, Englewood Cliffs, NJ
18. Kreinovich V., Sirisaengtaksin O., and Cabrera S. Wavelet neural networks are asymptotically optimal approximators for functions of one variable. IEEE (1994) 299-304
19. Kugarajah Th., and Zhang Q. Multidimensional wavelet frames. IEEE Trans. Neural Networks 6 (1995)
20. Li S. Comparative analysis of back propagation and extended Kalman filter in pattern and batch forms of training neural networks. IEEE Trans. Neural Networks 1 (2001) 144-149
21. Lin C.J., and Chin C.C. Prediction and identification using wavelet-based recurrent fuzzy neural networks. IEEE Trans. Systems Man Cybernet. 34 (2004) 2144-2154
22. Lin C.J., and Hsu Y.C. Reinforcement hybrid evolutionary learning for recurrent wavelet-based neurofuzzy systems. IEEE Trans. Fuzzy Systems 15 (2007) 729-745
23. Maeda M., and Murakami S. A self-tuning fuzzy controller. Fuzzy Sets and Systems 51 (1992) 29-40
24. Olivera G.H.C., Campello R.J.G.B., and Amaral W.C. Fuzzy models within orthonormal basis function framework. Proc. 1999 IEEE Internat. Fuzzy Conf. (1999) 957-962
25. Park J.H., Park G.T., Kim S.H., and Moon C.J. Direct adaptive self-structuring fuzzy controller for nonaffine nonlinear system. Fuzzy Sets and Systems 153 (2005) 429-445
26. Pati Y., and Krishnaprased P. Analysis and synthesis of feed-forward neural networks using discrete affine wavelet transformation. IEEE Trans. Neural Networks 4 (1993) 73-85
27. Phan P.A., and Gale T. Two-mode adaptive fuzzy control with approximation error estimator. IEEE Trans. Fuzzy Systems 12 (2007) 1-13
28. Reyneri L.M. Unification of neural and wavelet networks and fuzzy systems. IEEE Trans. Neural Networks 10 (1999) 801-814
29. Ruskai M.B., Beylkin G., Coifman R., Daubechies I., Mallett S., Meyer Y., and Raphael L. Wavelets and Applications (1992), Jones and Bartlett, Boston
30. Shmilovici A., and Maimon O. On the solution of differential equations with fuzzy spline wavelets. Fuzzy Sets and System 96 (1998) 77-99
31. Slotin J.E., and Li W. Applied Nonlinear Control (1991), Prentice-Hall International, Englewood Cliffs, NJ
32. Srivastava S., Singh M., Hanmandlu M., and Jha A.N. New fuzzy wavelet neural network for system identification and control. Appl. Soft Comput. 6 (2005) 1-17
33. M. Thuillard, A review of wavelet networks, wavenets, fuzzy wavenets and their applications, in: ESIT 2000, Aachen, Germany, 2000, pp. 5-16.
34. Wang L.X. Stable adaptive fuzzy control of nonlinear systems. IEEE Trans. Fuzzy Systems 1 (1993) 146-155
35. Wang L.X. Adaptive Fuzzy Systems and Control: Design and Stability Analysis (1994), Prentice-Hall, Upper Saddle River, NJ
36. J. Wang, J. Xiao, D. Hu, Fuzzy wavelet network modelling with B-spline wavelet, in: Proc. Internat Conf. on Machine Learning and Cybernetics, Vol. 7, 2005, pp. 4144-4148.
37. Zhang J., Walter G.G., and Lee W.N.W. Wavelet neural networks for function learning. IEEE Trans. Signal Process. 43 (1993) 1485-1497
38. Zhang Q. Using wavelet network in nonparametric estimation. IEEE Trans. Neural Networks 8 (1997) 227-236
39. Zhang Q., and Benveniste A. Wavelet networks. IEEE Trans. Neural Networks 3 (1992) 889-898