Chaotifying a Continuous-Time TS Fuzzy System with Time-Delay

시간 지연을 이용한 연속시간 TS 퍼지 시스템의 카오스화

  • 김택룡 (연세대학교 전기전자공학과) ;
  • 주영훈 (군산대학교 정보전자공학부) ;
  • 박진배 (연세대학교 전기전자공학과)
  • Published : 2004.07.14

Abstract

In this paper, a systematic design approach based on the parallel distributed compensation technique is proposed for chaotifying a general continuous-time Takagi-Sugeno (TS) fuzzy system. The fuzzy parallel distributed compensation controller (FPDCC) is composed of the feedback gain and time-delay feedback. The verification of chaos in the controlled continuous-time TS fuzzy system is done by the following procedures. First, we establish an asymptotically approximate relationship between a time-delay continuous-time TS fuzzy system and a discrete-time TS fuzzy system. Then, Marotto theorem is applied. Therefore, the generated chaos is in the sense of Li and Yorke. The boundedness in the controlled continuous-time TS fuzzy system is also proven via its associated discrete-time TS fuzzy system.

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