Browse > Article

Transformation of TSK fuzzy systems into fuzzy systems with singleton consequents and its applications  

Chae, Yang-Beom (Dept. of Shipping Service System Engineering, Korea Maritime University)
Lee, Won-Chang (Dept.of Electronics Computer Information Communication Engineering, Pukyong National University)
Gang, Geun-Taek (Dept.of Electronics Computer Information Communication Engineering, Pukyong National University)
Publication Information
Journal of the Institute of Electronics Engineers of Korea CI / v.39, no.1, 2002 , pp. 48-59 More about this Journal
Abstract
TSK(Takagi-Sugeno-Kang) fuzzy models with linear equations consequents, which represent complex nonlinear systems very well with a few rules, can be easily identified systematically by using input-output data. Many algorithms designing TSK fuzzy controllers based on TSK fuzzy models, which guarantees the stability of the closed system, have been suggested. On the contrary, singleton fuzzy models with singleton consequents can be easily understood and adjusted. In this paper, in order to utilize the merits of TSK fuzzy systems and singleton fuzzy systems, an algorithm transforming a TSK fuzzy model into a singleton fuzzy model having the same input-output relation is suggested. The suggested algorithm is applied to a fuzzy modelling example and a fuzzy controller design example.
Keywords
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 L. Zadeh, 'Outline of a new approach to the analysis of complex systems ans decision processes', IEEE Trans. on SMG, 3, pp. 28-44, 1973
2 T. Takagi and M. Sugeno, 'Fuzzy identification of systems and its applications to modelling and control', IEEE Trans. on SMG, 15, pp. 116-132, 1985
3 K. Zeng, N. Zhang, W. Xu, 'A Comparative study on sufficient conditions for Takagi-Sugeno fuzzy systems as universal approximators', IEEE Trans. on Fuzzy Systems, 8, pp. 773-700, 2000   DOI   ScienceOn
4 M. Sugeno and G. Kang, 'Structure identification of fuzzy model', Fuzzy Sets and Systems, 28, pp.15-33, 1988   DOI   ScienceOn
5 L. Wang and R. Langari, 'building Sugeno type models using fuzzy discretization and orthogonal parameter estimation techniques', IEEE Trans.. on Fuzzy Systems, 3, pp. 454-458, 1995   DOI   ScienceOn
6 L. Wang and R. Langari, 'Complex systems modeling via fuzzy logic', IEEE Trans. on SMC-B, 26, pp. 100-106, 1996   DOI
7 H.Wang, K. Tanak, and M. Griffin, 'an approach to fuzzy control of nonlinear systems: Stability and design isues', IEEE Trans. on Fuzzy Systems, 4, pp. 14-23, 1996   DOI   ScienceOn
8 H. Lam, F. Leung, and P. Tam, 'Stable and robust fuzzy control for uncertain nonlinear systems', IEEE Trans. on SMC-A, 30, pp. 825-840, 2000
9 R. Babuska and H. Verbruggen, 'A new identification method for linguistic fuzzy models', Pro: 1995 IEEE International Conference on Fuzzy Systems, Vol. 2. pp. 905-912, 1995   DOI
10 E. Kim, M. Park, S. Ji and M. Park, 'A new approach to fuzzy modeling', IEEE Trans. on Fuzzy Systems, 5, pp. 328-337, 1997   DOI   ScienceOn
11 K. Tanaka and M. Sugeno, 'Stability analysis and design of fuzzy control system', Fuzzy Sets and Systems, 45, pp.135-156, 1992   DOI   ScienceOn
12 J. Buckley. 'Sugeno type controllers are universal controller', Fuzzy Sets and Systems, Vol.53, pp.199-303, 1993   DOI   ScienceOn
13 L. Chua, A. Deng, 'Canonical piecewise linear modelling', IEEE Trans. on Circuits Syst., CAS-33, pp.511-525, 1999
14 강근택, 권태하, '반도체소자의 퍼지모델', 대한전자공학회 논문집 26-12, pp.106-114, 1986   과학기술학회마을
15 G. Kang and W. Lee, 'Design of Fuzzy State Controllers and Observers', Proc. IEEE International Conference on Fuzzy Systems, pp.1355-1360, 1995   DOI
16 강근택, 이원창, 'TSK퍼지모델로부터 TSK퍼지제어기의 설계', 대한전자공학회 논문집, 제35권S편, 35-11, pp.1515-1529, 1998   과학기술학회마을
17 G. Kang and W. Lee, 'Design of Fuzzy State Controllers and Observers', Proc. IEEE International Conference on Fuzzy Systems, pp. 1355-1360, 1995   DOI
18 Y. Chae, K. Oh, W. Lee, G. Kang, 'Transformation of TSK fuzzy system into fuzzy system with singleton consequents and its application' Proc. 1999 FUZZ-IEEE '99, Vol.2, pp.969-973, 1999   DOI