Proceedings of the Korean Institute of Intelligent Systems Conference (한국지능시스템학회:학술대회논문집)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Chaotification of Nonlinear Systems Via Fuzzy Approach

퍼지 기법을 이용한 비선형 시스템의 카오스화

  • Kim Taek-Ryong (Dept. of Electrical & Electronic Eng., Yonsei Univ.) ;
  • Park Jin-Bae (Dept. of Electrical & Electronic Eng., Yonsei Univ.) ;
  • Joo Young-Hoon (School of Electronic & Information Eng., Kunsan Univ.)
  • 김택룡 (연세대학교 전기전자공학과) ;
  • 박진배 (연세대학교 전기전자공학과) ;
  • 주영훈 (군산대학교 정보전자공학부)
  • Published : 2005.11.01
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Abstract

This paper presents a simple methodolosy that makes a continuous-time nonlinear system chaotic using fuzzy control. The nonlinear system is represented by the T-S fuzzy model. Then, a fuzzy controller makes the T-S fuzzy model, which could be stable or unstable, bounded and chaotic. The verification of chaos in the closed-loop system is done by the following procedures. We establish an asymptotically approximate relationship between a continuous-time T-S fuzzy system with time-delay and a discrete-time T-S fuzzy system. Then, we verify the chaos in the closed-loop system by applying the Marotto theorem to its associated discrete-time T-S fuzzy system.

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