Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Robust H∞ Disturbance Attenuation Control of Continuous-time Polynomial Fuzzy Systems

연속시간 다항식 퍼지 시스템을 위한 강인한 H∞ 외란 감쇠 제어

  • Jang, Yong Hoon (Department of Electrical and Electronic Engineering, Yonsei University) ;
  • Kim, Han Sol (Department of Electrical and Electronic Engineering, Yonsei University) ;
  • Joo, Young Hoon (Department of Control and Robot Engineering, Kunsan National University) ;
  • Park, Jin Bae (Department of Electrical and Electronic Engineering, Yonsei University)
  • 장용훈 (연세대학교 전기전자공학과) ;
  • 김한솔 (연세대학교 전기전자공학과) ;
  • 주영훈 (군산대학교 제어로봇공학과) ;
  • 박진배 (연세대학교 전기전자공학과)
  • Received : 2016.02.10
  • Accepted : 2016.03.28
  • Published : 2016.06.01
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Abstract

This paper introduces a stabilization condition for polynomial fuzzy systems that guarantees $H_{\infty}$ performance under the imperfect premise matching. An $H_{\infty}$ control of polynomial fuzzy systems attenuates the effect of external disturbance. Under the imperfect premise matching, a polynomial fuzzy model and controller do not share the same membership functions. Therefore, a polynomial fuzzy controller has an enhanced design flexibility and inherent robustness to handle parameter uncertainties. In this paper, the stabilization conditions are derived from the polynomial Lyapunov function and numerically solved by the sum-of-squares (SOS) method. A simulation example and comparison of the performance are provided to verify the stability analysis results and demonstrate the effectiveness of the proposed stabilization conditions.

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References

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