A new fuzzy Lyapunov function approach for a Takagi--Sugeno fuzzy control system design

  • Authors:

  • Bong-Jae Rhee;Sangchul Won

  • Affiliations:

  • Department of Electrical and Electronic Engineering, Pohang University of Science and Technology (POSTECH), San 31, Hyojadong, Namgu, Pohang, Gyungbuk 790-784, Republic of Korea;Department of Electrical and Electronic Engineering, Pohang University of Science and Technology (POSTECH), San 31, Hyojadong, Namgu, Pohang, Gyungbuk 790-784, Republic of Korea

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2006

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Abstract

In this paper, a new fuzzy Lyapunov function approach is presented for a class of continuous-time Takagi-Sugeno fuzzy control system. The proposed fuzzy Lyapunov function is formulated as a line-integral of a fuzzy vector which is a function of the state, and it can be regarded as the work done from the origin to the current state in the fuzzy vector field. Unlike the approaches using a fuzzy blending of multiple quadratic Lyapunov functions, the time-derivatives of membership functions do not appear in the proposed approach. The effectiveness of the proposed approach is shown through numerical examples.