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2017 | OriginalPaper | Chapter

Generalization of Fuzzy Inference System Based on Boolean and Kleenean Relations FIS-BKR for Modelling and Control

Authors : Erika Zutta, Jhonattan Gantiva, Jairo Soriano

Published in: Applied Computer Sciences in Engineering

Publisher: Springer International Publishing

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Abstract

Fuzzy logic emerges as an important tool in modelling control systems. For this reason, it is necessary to find methodologies involving fuzzy inference and allow to obtain levels of accuracy and interpretability accordance with design requirements. This paper proposes the generalization of a Fuzzy Inference System based on Boolean and Kleenean relations (FIS-BKR) from the conceptual expansion of the virtual actuator.

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Cavallo, A., Natale, C., Pirozzi, S., Visone, C.: Limit cycles in control systems employing smart actuators with hysteresis. IEEE/ASME Trans. Mechatron. 10, 172–180 (2005)CrossRef

Quality Transmission Components: Section 14 (2010). http://www.qtcgears.com/Q410/PDF/techsec14.pdf

Corradini, M., Orlando, G., Parlangeli, G.: Robust control of nonlinear uncertain systems with sandwiched backlash. In: 44th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2005, pp. 8112–8117 (2005). doi:10.1109/CDC.2005.1583475. http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1583475

Esbrook, A., Tan, X., Khalil, H.: Self-excited limit cycles in an integral-controlled system with backlash. In: American Control Conference (ACC), pp. 4736–4741 (2013). http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6580570

Espitia, H.E.: Aplicación del Concresor Basado en Relaciones Booleanas para Sistemas de Lógica Difusa Tipo Dos. Universidad Distrital Franciso José de Caldas, Bogotá, Colombia. Master’s degree Thesis (2009)

Liu, W., Song, X., Zhang, Q.: (T) Fuzzy Integral of Multi-dimensional Function. In: 2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery (FSKD) (2010)

Nordin, M., Gutman, P.O.: Controlling mechanical systems with backlash - a survey. Automatica 38(10), 1633–1649 (2002). http://www.sciencedirect.com/science/article/pii/S000510980200047X

Salazar, O.: Método de Diseñ y Optimizaciòn de Controladores Difusos FIS-BBR Cuasi-Estándar por medio de Lógicas Clásica y Trivalente de Kleene. Universidad Distrital Franciso José de Caldas. Master’s degree Thesis (2014)

Soriano, J.J., González, O.L., Munar, F.V., Ramos, A.A.: Propuesta de concresor basado en relaciones booleanas. Ingeniería 10 (2001)

10.

Stein, E.M., Shakarchi, R.: Real Analysis: Measure Theory, Integration, and Hilbert Spaces. Princeton University Press, Princeton (2009)MATH

11.

Tarbouriech, S., Queinnec, I., Prieur, C.: Stability analysis and stabilization of systems with input backlash. IEEE Trans. Autom. Control 59(2), 488–494 (2014). doi:10.1109/TAC.2013.2273279. http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6558840

12.

Vukic, Z.: Nonlinear Control Systems. CRC Press, New York (2003)CrossRef

13.

Yang, M., Tang, S., Tan, J., Xu, D.: Study of on-line backlash identification for PMSM servo system. In: IECON 2012–38th Annual Conference on IEEE Industrial Electronics Society, pp. 2036–2042 (2012). doi:10.1109/IECON.2012.6388745. http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6388745

14.

Ying, H., Ding, Y., Li, S., Shao, S.: Comparison of necessary conditions for typical Takagi-Sugeno and Mamdani fuzzy systems as universal approximators. IEEE Trans. Syst. Man Cybernet. Part A Syst. Hum. 29(5), 508–514 (1999). http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=784177

Title: Generalization of Fuzzy Inference System Based on Boolean and Kleenean Relations FIS-BKR for Modelling and Control
Authors: Erika Zutta
Jhonattan Gantiva
Jairo Soriano
Publisher: Springer International Publishing
Book: Applied Computer Sciences in Engineering
Print ISBN: 978-3-319-66962-5

Electronic ISBN: 978-3-319-66963-2

Copyright Year: 2017
DOI: https://doi.org/10.1007/978-3-319-66963-2_32

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