Abstract
The ability to build fuzzy logic applications for control problems has been hindered by well-known problem of combinatorial rules explosion, causing complexity in modeling
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References
Bai, Y., Zhuang, H., & Wang, D. (2006). Advanced fuzzy logic technologies in industrial applications (advances in industrial control). Secaucus: Springer. ISBN 1846284686.
Baranyi, P., & Yam, Y. (1997). Singular value-based approximation with takagi-sugeno type fuzzy rule base. In: Proceedings of the Sixth IEEE International Conference on in Fuzzy Systems, vol. 1, pp. 265ā270. doi:10.1109/FUZZY.1997.616379.
Camacho, E., & Bordons, C. (2004). Model predictive control, advanced textbooks in control and signal processing. Springer. ISBN 9781852336943. http://books.google.es/books?id=Sc1H3f3E8CQC
CENELEC. (2000). Programmable controllers - Part 7: Fuzzy control programming (CENELEC).
CENELEC. (2013). Programmable controllers - Part 3: Programming languages. ed 3.0 (CENELEC).
Chen, Y.-J., & Teng, C.-C. (1996). Rule combination in a fuzzy neural network. Fuzzy Sets System, 82, 161ā166. doi:10.1016/0165-0114(95)00252-9.
Ciftcioglu, O. (2002). Studies on the complexity reduction with orthogonal transformation. In: Proceedings of the 2002 IEEE International Conference on Fuzzy Systems, FUZZ-IEEEā02, vol. 2, pp. 1476ā1481. doi:10.1109/FUZZ.2002.1006724.
Deville, J. (1974). MĆ©thodes statistiques et numĆ©riques de lāanalyse harmonique, Annales de lāinsĆ©Ć©, 15, 3, 5ā101.
EscaƱo, J., Bordons, C., Vilas, C., GarcĆa, M., & Alonso, A. (2009). Neurofuzzy model based predictive control for thermal batch processes. Journal of Process Control, 19(9), 1566ā1575.
Gegov, A. (2007). Complexity management in fuzzy systems: A rule base compression approach, studies in fuzziness and soft computing, vol. 211. Springer. ISBN 978-3-540-38883-8.
Gruber, J. K., Bordons, C., Bars, R. and Haber, R. (2010). Nonlinear predictive control of smooth nonlinear systems based on volterra models. application to a pilot plant. International Journal of Robust and Nonlinear Control 20(16), 1817ā1835. doi:10.1002/rnc.1549. http://dx.doi.org/10.1002/rnc.1549
Jang, J., Sun, C., & Mizutani, E. (1997). Neuro-fuzzy and soft computing: A computational approach to learning and machine intelligence, MATLAB curriculum series. Prentice Hall. ISBN 9780132610667, http://books.google.es/books?id=vN5QAAAAMAAJ
Jin, Y. (2000). Fuzzy modeling of high-dimensional systems: Complexity reduction and interpretability improvement. IEEE Transactions on Fuzzy Systems, 8(2), 212ā221. doi:10.1109/91.842154.
Kiriakidis, K. (1998). Fuzzy model-based control of complex plants. IEEE Transactions on Fuzzy Systems, 6(4), 517ā529. doi:10.1109/91.728444.
Lu, C.-H., & Tsai, C.-C. (2007). Generalized predictive control using recurrent fuzzy neural networks for industrial processes. Journal of Process Control 17(1), 83ā92. doi:10.1016/j.jprocont.2006.08.003. http://www.sciencedirect.com/science/article/pii/S0959152406000904
Marusak, P., & Tatjewski, P. (2009). Effective dual-mode fuzzy dmc algorithms with on-line quadratic optimization and guaranteed stability. Internaitonal Journal of Application of Mathmatics and Computer Science, 19(1), 127ā142. doi:10.2478/v10006-009-0012-8. http://dx.doi.org/10.2478/v10006-009-0012-8
Ross, T. J. (2004). Fuzzy logic with engineering applications. Wiley. ISBN 0470860758. http://www.worldcat.org/isbn/0470860758
Schneider. (2009). Fuzzy control library v1.2, Technical Report 33004219.02, Schneider Electric.
Setnes, M., BabuÅ”ka, R., & Verbruggen, H. B. (1998). Complexity reduction in fuzzy modeling. Mathematics and Computer Simulation, 46, 507ā516. doi:10.1016/S0378-4754(98)00079-2. http://dl.acm.org/citation.cfm?id=284142.284163
Simon, D. (2000). Design and rule base reduction of a fuzzy filter for the estimation of motor currents. International Journal of Approximation Reasoning, 25(2), 145ā167.
Takagi, T., & Sugeno, M. (1985). Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics, 15(1), 116ā132.
Tatjewski, P. (2007). Advanced control of industrial processes: Structures and algorithms, advances in industrial control. Springer. ISBN 9781846286346. http://books.google.es/books?id=e_QEnZB0PLoC.
Yam, Y. (1997). Fuzzy approximation via grid point sampling and singular value decomposition. IEEE Transactions on Systems, Man, and Cybernetics Part B, 27(6), 933ā951. doi:10.1109/3477.650055. http://dx.doi.org/10.1109/3477.650055
Yen, J., & Wang, L. (1999). Simplifying fuzzy rule-based models using orthogonal transformation methods. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 29(1), 13ā24. doi:10.1109/3477.740162.
Acknowledgments
Part of the work was supported by the project DPI2010-21589-C05-01 of the Spanish Ministry of Economy and Competitiveness.
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EscaƱo, J.M., Bordons, C. (2014). Complexity Reduction in Fuzzy Systems Using Functional Principal Component Analysis. In: MatĆa, F., Marichal, G., JimĆ©nez, E. (eds) Fuzzy Modeling and Control: Theory and Applications. Atlantis Computational Intelligence Systems, vol 9. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-082-9_3
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