Abstract
In this paper, a fuzzy inference system based on support vector machi- nes is proposed for nonlinear system control. Support vector machines provides a mechanism to extract support vectors for generating fuzzy if-then rules from the training data set, and a method to describe the fuzzy inference system in terms of kernel functions. Thus it has the inherent advantages that the model doesn’t have to decide the number of fuzzy rules in advance, and has universal approximation ability and good generalization ability. The simulation results for stabilizing control of double inverted pendulum system are provided to show the validity and applicability of the proposed method.
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References
Mendel, J.M.: Fuzzy logic systems for engineering: a tutorial. Proc. IEEE 83, 345–377 (1995)
Wang, L.X., Jerry, M.: Fuzzy Basis Functions, Universal Approximation, and Orthogonal Least-squares Learning. IEEE Trans. on Neural Networks 3(5), 807–814 (1992)
Vapnik, V.N.: An Overview of Statistical Learning Theory. IEEE Trans. on Neural Networks 10(5), 988–999 (1999)
Chapelle, O., Haffner, P., Vapnik, V.N.: Support Vector Machines for Histogram-based Image Classification. IEEE Trans. on Neural Networks 10(5), 1055–1064 (1999)
Harris, D., Wu, D.H., Vapnik, V.N.: Support Vector Machines for Spam Categorization. IEEE Trans. on Neural Networks 10(5), 1048–1054 (1999)
Jacek, M.L.: TSK-Fuzzy Modeling Based on E-Insensitive Learning. IEEE Transactions on Fuzzy Systems 13(2), 181–193 (2005)
Lin, C.J., Lin, C.T.: An ART-based Fuzzy Adaptive Learning Control Network. IEEE Trans. on Fuzzy Systems 5(4), 477–496 (1997)
Yang, Z.Q., Piao, Y.G.: Control of Double Inverted Pendulum by Using State Variables Synthesis Fuzzy Neural Network. Control and Decision 17(1), 123–128 (2002)
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Liu, H., Wu, H., Qian, F. (2006). Double Inverted Pendulum Control Based on Support Vector Machines and Fuzzy Inference. In: Wang, J., Yi, Z., Zurada, J.M., Lu, BL., Yin, H. (eds) Advances in Neural Networks - ISNN 2006. ISNN 2006. Lecture Notes in Computer Science, vol 3972. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11760023_165
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DOI: https://doi.org/10.1007/11760023_165
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34437-7
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