A Study on the Stability of Takagi-Sugeno Fuzzy Control System

어핀 Takagi-Sugeno 퍼지 제어 시스템의 안정도에 대한 연구

  • Kim, Eun-Tai (Dept of Control and Instrumentation Engr., Hankyong National University) ;
  • Kim, Dong-Yon (Dept of Electronic Engr., Hankyong National University) ;
  • Park, Hyun-Sik (Dept of Electronic Engr., Hankyong National University) ;
  • Park Mig-Non (Dept of Electronic Engr., Yonsei University)
  • 김은태 (國立 韓京大學校 制御計測工學科) ;
  • 김동연 (國立 韓京大學校 電子工學科) ;
  • 박현식 (國立 韓京大學校 電子工學科) ;
  • 박민용 (延世大學校 電子工學科)
  • Published : 1999.07.01


In this paper, a novel approach to the stability analysis of the continuous affine Takagi-Sugeno fuzzy control systems is proposed. The suggested analysis method is easily implemented by the recently spotlighted convex optimization techniques called Linear Matrix Inequalities (LMI). First, it derives the stability condition under which the affine Takagi-Sugeno fuzzy system is stable in the large. Next, the derived condition is recast in the formulation of LMI and numerically addressed. Finally, the applicability of the suggested methodology is highlighted via computer simulations.