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

TSK 퍼지시스템을 결론부가 singleton인 퍼지시스템으로 표현하는 방법과 그 응용

  • 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)
  • 채양범 (한국해양대학교 운항시스템공학부) ;
  • 이원창 (부경대학교 전자컴퓨터정보통신공학부) ;
  • 강근택 (부경대학교 전자컴퓨터정보통신공학부)
  • Published : 2002.01.01

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.

본 논문에서는 어느 한 TSK(Takagi-Sugeno-Kang) 퍼지시스템이 주어 졌을 때 그 퍼지시스템과 동일한 입출력 관계를 갖는 singleton 퍼지시스템을 구하는 방법을 제안하고 응용 예를 보인다. 퍼지규칙의 결론부가 선형식인 퍼지시스템(TSK퍼지시스템)은 입출력 데이터로 모델 인식이 체계적으로 쉽게 이루어 질 수 있으며, 안정성을 보장하는 퍼지제어기 설계도 관한 연구도 많이 되어 있다. 한편 퍼지규칙 결론부가 실수인 퍼지시스템(singleton 퍼지시스템)은 규칙이 언어적 형태이므로 이해하기가 쉽고, 규칙의 조정이 용이한 장점이 있다. 이러한 두 퍼지 시스템의 장점을 살릴 수 있는 방안으로, TSK 퍼지시스템을 singleton 퍼지시스템으로 변환시키는 방법을 제안하며, 제안한 방법을 퍼지모델링과 퍼지제어기 설계에 응용하여 그 실용성을 보인다.

Keywords

References

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