The Transactions of The Korean Institute of Electrical Engineers (전기학회논문지)

The Korean Institute of Electrical Engineers (대한전기학회)
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Relaxed Stability Condition for Affine Fuzzy System Using Fuzzy Lyapunov Function

퍼지 리아푸노프 함수를 이용한 어파인 퍼지 시스템의 완화된 안정도 조건

  • 김대영 (연세대 전기전자공학과) ;
  • 박진배 (연세대 전기전자공학과) ;
  • 주영훈 (국립군산대 제어로봇공학과)
  • Received : 2012.08.14
  • Accepted : 2012.09.21
  • Published : 2012.10.01
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Abstract

This paper presents a relaxed stability condition for continuous-time affine fuzzy system using fuzzy Lyapunov function. In the previous studies, stability conditions for the affine fuzzy system based on quadratic Lyapunov function have a conservativeness. The stability condition is considered by using the fuzzy Lyapunov function, which has membership functions in the traditional Lyapunov function. Based on Lyapunov-stability theory, the stability condition for affine fuzzy system is derived and represented to linear matrix inequalities(LMIs). And slack matrix is added to stability condition for the relaxed stability condition. Finally, simulation example is given to illustrate the merits of the proposed method.

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References

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