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Design of Optimized Interval Type-2 Fuzzy Controller and Its Application  

Jang, Han-Jong (수원대학교 전기공학과)
Oh, Sung-Kwun (수원대학교 전기공학과)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.58, no.8, 2009 , pp. 1624-1632 More about this Journal
Abstract
In this study, we introduce the design methodology of an optimized Interval Type-2 fuzzy controller. The fixed MF design of type-1 based FLC leads to the difficulty of rule-based control design for representing the linguistically uncertain expression. In the Type-2 FLC as the expanded type of Type-1 FLC, we can effectively improve the control characteristic by using the footprint of uncertainty(FOU) of membership function. Type-2 FLC has a robust characteristic in the unknown system with unspecific noise when compared with Type-1 FLC. Through computer simulation as well as practical experiment, we compare their performance by applying both the optimized Type-1 and Type-2 fuzzy cascade controllers to ball and beam system. To evaluate each controller performance, we consider controller characteristic parameters such as maximum overshoot, delay time, rise time, settling time and steady-state error.
Keywords
Type-1 Fuzzy Cascade Controller; Type-2 Fuzzy Cascade Controller; Genetic Algorithm; Ball & Beam System;
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1 Liang Q. and Mendel J. M., 'Equalization of nonlinear time-varying channels using type-2 fuzzy adaptive filters', IEEE Trans. Fuzzy Syst. Vol. 8, pp. 551 -563, 2000   DOI   ScienceOn
2 M. Johansson, A Rantzer, K.-E Arzen, ' Piecewise quadratic stability of fuzzy systems', IEEE Trans. on Fuzzy Syst., Vol 7, Issue 6, pp. 713-722, 1999   DOI   ScienceOn
3 J. Mendel, Uncertain Rule-based Fuzzy Logic Systems: Introduction and New directions, Upper Saddle River, NJ: Prentice-Hall, 2001
4 Yager R. R., 'Fuzzy subsets of type-2 m decisions', Cyberneics Vol. 10, pp.137-159, 1980   DOI   ScienceOn
5 Dongrui Wu and Woei Wan Tan, 'Genetic learning and performance evaluation of interval type-2 fuzzy logic controllers', Engineering applications of Artificial Intelligence, Vol. 19, Issue 8, pp. 829-841, 2006   DOI   ScienceOn
6 Faa-Jeng Lin, 'Fuzzy Adaptive Model-Following Position Control for Ultrasonic Motor', IEEE Trans. on Power Elec., Vol. 12, No. 2 pp. 261-268, 1997   DOI   ScienceOn
7 H.-N. Wu and K.-Y. Cai, 'Robust fuzzy control for uncertain discrete-time nonlinear Markovian jump systems without mode observations,' Information Sciences Vol. 177, Issue 6, pp. 1509-1522, 2007   DOI   ScienceOn
8 Liang Q. and Mendel J. M., 'MPEG VBR video traffic modelling and classification using fuzzy technique. IEEE Trans. Fuzzy Syst., Vol. 9, pp. 183-193, 2001   DOI   ScienceOn
9 D. Wu and W. Tan, 'Type-2 fuzzy logic controller for the liquid-level process', Proceeding of the 2004 IEEE International Conference on Fuzzy Ststems, pp. 248-253, Budapest, Hungary, 2004
10 H. J. Lee, J. B. Park and G. Chen, 'Robust Fuzzy Control of Nonlinear Systems with Parametric Uncertainties,' IEEE Trans. on Syst., Vol. 9, No.2, pp. 369-379, 2001   DOI   ScienceOn
11 Zadeh, L. A, 'The concept of a linguistic variable and its application to approximate reasoning-1', Information Sciences 8, Issue 3, pp. 199-249, 1975   DOI   ScienceOn
12 S.-K. Oh, W. Pedrycz, S.-B. Rho and T.-C. Ahn, 'Parameter estimation of fuzzy controller and Its application to inverted pendulum' Engineering Applications of Artificial Intelligence, Vol. 17, Issue 1, February 2004, Pages 37-60   DOI   ScienceOn
13 J. C. Wu and T. S. Liu, 'Fuzzy Control Stabilization with Applications to Motorcycle Control', IEEE Trans. on Syst., Man Cybern., Vol. 26, No.6, pp. 836-847, 1996   DOI   ScienceOn
14 Hagras H. A, 'A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robots', IEEE Trans. Fuzzy Syst. Vol. 12, pp. 524-539, 2004   DOI   ScienceOn
15 S.-K, Oh, H.-j jang and W. Pedrycz, 'The design of a fuzzy cascade controller for ball and beam system: A study in optimization with the use of parallel genetic algorithms', Engineering Applications of Artificial Intelligence, Article in Press   DOI   ScienceOn