Journal of the Institute of Electronics Engineers of Korea SC (전자공학회논문지SC)

The Institute of Electronics and Information Engineers (대한전자공학회)
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Control of Chua's Circuit using Affine Fuzzy Model

어파인 퍼지 모델을 이용한 Chua 회로의 제어

  • 김은태 (연세대학교 전기전자공학부)
  • Published : 2003.07.01
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Abstract

In this paper, a fuzzy controller is designed to suppress and stabilize the chaotic behavior of Chua's circuit. This controller is constructed by the following two phases. First, Chua's circuit is represented by an affine fuzzy model. Second, a fuzzy controller is designed so that the stability of the closed-loop system composed of the fuzzy controller and the affine fuzzy model of Chua's circuit is rigorously guaranteed. The stability condition of the affine fuzzy system is derived and is recast in the formulation of linear matrix inequalities. The guaranteed stability is global and asymptotic. Finally, the applicability of the suggested methodology is highlighted via computer simulations.

본 논문에서는 Chua회로의 카오스 현상을 안정화시키는 퍼지 제어기를 제안한다. 제안되는 퍼지 제어기는 두 가지 과정으로 설계되는데 우선 Chua 회로를 어파인 퍼지 모델로 표현하고 다음은 전체 폐루프의 안정도가 보장되도록 퍼지 제어기를 설계한다. 이를 위해 어파인 퍼지 시스템의 전역 점근 안정조건을 유도하고 이를 선형행렬부등식으로 표현하여 문제를 해결한다. 끝으로 컴퓨터 모의 실험을 통하여 타당성을 확인한다.

Keywords

References

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