Design of LFT-Based T-S Fuzzy Controller for Model-Following using LMIs

선형 행렬부등식과 분해법을 이용한 퍼지제어기 설계

  • 손홍엽 (연세대학교 전자공학과) ;
  • 이희진 (안성산업대학교 제어계측공학과) ;
  • 조영완 (연세대학교 전자공학과) ;
  • 김은태 (연세대학교 전자공학과) ;
  • 박민용 (연세대학교 전자공학과)
  • Published : 1998.10.01

Abstract

This paper proposes design of LFT-based fuzzy controllers for model-following, which are better than the previous input-output linearization controllers, which are not able to follow the model system states and which do not guarantee the stability of all states. The method proposed in this paper provides a LFT-based Takagi-Sugeno(T-S) fuzzy controller with guaranteed stability and model-following via the following steps: First, using LFT(Linear Fractional Transformation) and T-S fuzzy model, controllers, are obtained. Next, error dynamics are obtained for model-following, and errors go to 0(zero). Finally, a T-s fuzzy controller that can stabilizxe the system with the requirement on the control input satisfied is obtained by solving the LMIs with the MATLAB LMI Control Toolbox and a model-following controller is obtained. Simulations are performed for the LFT-based T-S fuzzy controller designed by the proposed method, which show better performance than the results of input-out ut linearization controller.

Keywords