Abstract
This paper presents an algorithm to compute high dimensional piecewise linear (PWL) functions with simplicial division of the input domain, and introduces the circuit scheme for its implementation in a FPGA. It is also investigated how to modify this algorithm and implementation to compute a class of PWL fuzzy systems.
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References
Sasaki, M., Ueno, F.: A novel implementation of fuzzy logic controller using new meet operation. In: 3 IEEE Int. Conf. Fuzzy Sys., Orlando, FL, pp. 1676–1681 (June 1993)
Rovatti, R.: Fuzzy multilinear and piecewise linear systems as universal approximators in Sobolev norms. IEEE Trans. on Fuzzy Systems 6, 235–249 (1998)
Chien, M.J., Kuh, E.S.: Solving Nonlinear Resistive Networks Using Piecewise-Linear Analysis and Simplicial Subdivision. IEEE Transactions on Circuits and Systems, Cas-24(6) (June 1977)
Echanobe, J., del Campo, I., Tarela, J.M.: Issues concerning the analysis and implementation of a class of fuzzy controllers Fuzzy Sets and Sys., 2, 252–271 (2005)
Echevarriai, P., Martinez, M.V., Echanobe, J., del Campo, I., Tarela, J.M.: Design and Hw/Sw Implementation of a Class of Piecewise-Linear Fuzzy System. Seminario de automatica y electrica industrial, Santander (SAAEI 2005) (2005)
Julian, P., Desages, A., Agamennoni, O.: High-level canonical piecewise linear representation using a simplicial partition. IEEE Transactions on Circuits and Systems-I 46, 463–480 (1999)
Parodi, M., Storace, M., Julian, P.: Synthesis of multiport resistors with piecewise-linear characteristics: a mixed-signal architecture. International Journal of Circuit Theory and Applications
Akl, S.G.: The design and analysis of parallel algorithms. Prentice-Hall, Englewood Cliffs (1989)
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© 2007 Springer-Verlag Berlin Heidelberg
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Echevarria, P., Martínez, M.V., Echanobe, J., del Campo, I., Tarela, J.M. (2007). Digital Hardware Implementation of High Dimensional Fuzzy Systems. In: Masulli, F., Mitra, S., Pasi, G. (eds) Applications of Fuzzy Sets Theory. WILF 2007. Lecture Notes in Computer Science(), vol 4578. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73400-0_30
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DOI: https://doi.org/10.1007/978-3-540-73400-0_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73399-7
Online ISBN: 978-3-540-73400-0
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