Abstract
In this paper, a neurofuzzy adaptive control framework for discrete-time systems based on kernel smoothing regression is developed. Kernel regression is a nonparametric statistics technique used to determine a regression model where no model assumption has been done. Due to similarity with fuzzy systems, kernel smoothing is used to obtain knowledge about the structure of the fuzzy system and this information is used as initial conditions of the adaptive neurofuzzy control. Results of simulation shows the efficiency of this technique
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Baruch, I.S., Lopez, R.B., Olivares, J.-L., Flores, J.M.: A fuzzy-neural multi-model for nonlinear systems identification and control. Fuzzy Sets and System 159, 2650–2667 (2008)
Box, G.E.P., Jenkins, J.M., Reinsel, G.C.: Time series analysis, forecasting and control. Prentice-Hall, Inc., Upper Saddle River (1994)
Chen, S., Billings, S., Grant, P.: Recursive hybrid algorithm for nonlinear system identification using radial basis function networks. Int. J. Control 55, 1051–1070 (1992)
Cruz, I., Yu, W., Cordova, J.J.: Multiple fuzzy neural networks modeling with sparse data. In: 2010 IEEE International Conference on Fuzzy Systems (FUZZ), July 18-23 (2010)
Galluzo, M., et al.: Control of biodegradation of wixed wastes in a continuous bioreactor by a type-2 fuzzy logic controller. Comput. Chem. Eng. 33(9), 1475–1483 (2009)
Haykin, S.: Neural Networks, A Comprehensive Foundations. Prentice Hall, Englewood Cliffs (1999)
Höppner, F., Klawonn, F., Kruse, R.: Fuzzy-Clusteranalyse, Computational Intelligence. Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig (1996)
Jang, J.S.R., Sun, C.T., Mizutani, E.: Neuro-Fuzzy and Soft Computing: A Computational Approach to Learning and Machine Intelligence. Prentice Hall (1997)
Kikens, B., Karim, M.: Process identification with multiple neural network models. Int. J. Control 72, 576–590 (1999)
Mamdani, E.H.: Application of fuzzy algorithms for control of simple dynamic plant. IEEE Proccedings-Control Theory and Applications 121, 1585–1588 (1976)
Mandic, D.P., Hanna, A.I., Razaz, M.: A Normalized Gradient Descent Algorithm for Nonlinear Adaptive Filters Using a Gradient Adaptive Step Size. IEEE Signal Processing Letters 8(11) (2001)
Nadaraya, E.A.: On estimating regression. Theory of Probability and its Applications 9, 141–142 (1964)
Narendra, K.S., Cheng, X.: Adaptive control of discrete-time systems using multiple models. IEEE Transactions on Automatic Control 45(9), 1669–1686 (2000)
Nauck, D., Klawonn, F., Kruse, R.: Foundations of Neuro-Fuzzy Systems. John Wiley & Sons, Inc., New York (1997)
Parzen, E.: On estimation of a probability density function and mode. Ann. Math. Statistics 33, 1065–1076 (1962)
Priestley, M.B., Chao, M.T.: Non-parametric function fitting. J. Royal Statistical Soc., Ser. B 34, 385–392 (1972)
Rajapakse, A., Furuta, K., Kondo, S.: Evolutionary learning of fuzzy logic controllers and their adaption through perpetual evolution. IEEE Trans. Fuzzy Sys. 10(3), 309–321 (2002)
Lalouni, S., Rekioua, D., et al.: Fuzzy logic control of stand-alone photovoltaic system with battery storage. J. Power Sources 193(2), 899–907 (2009)
Werner, L.: Einführung in die Regelungstechnik. Friedr. Vieweg & Sohn VerlagsgesellschaftmbH, Braunschweig (1992)
Li, K., Peng, J., Bai, E.W.: A two-stage algorithm for identification of nonlinear dynamic systems. Automatica 42(7), 1189–1197 (2006)
Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst., Man, Cybern. 15, 116–132 (1985)
Wang, L.X.: Adaptive Fuzzy Systems and Control. Prentice-Hall, Englewood Cliffs (1994)
Wang, L.X.: A Course in Fuzzy Systems and Control, 2nd edn. Prentice Hall, Upper Saddle River (1997)
Watson, G.S.: Smooth Regression Analysis. Sankhya Ser. A. 26, 101–116 (1964)
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Vega, I.C., Moreno-Ahedo, L., Liu, W.Y. (2013). Indirect Adaptive Control with Fuzzy Neural Networks via Kernel Smoothing. In: Batyrshin, I., Mendoza, M.G. (eds) Advances in Computational Intelligence. MICAI 2012. Lecture Notes in Computer Science(), vol 7630. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37798-3_34
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DOI: https://doi.org/10.1007/978-3-642-37798-3_34
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