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A Line-integral Fuzzy Lyapunov Functional Approach to Sampled-data Tracking Control of Takagi-Sugeno Fuzzy Systems

  • Kim, Han Sol (Dept. of Electrical and Electronic Engineering, Yonsei University) ;
  • Joo, Young Hoon (School of IT Information and Control Eng., Kunsan National University)
  • Received : 2018.04.30
  • Accepted : 2018.08.19
  • Published : 2018.11.01

Abstract

This paper deals with a sampled-data tracking control problem for the Takagi-Sugeno fuzzy system with external disturbances. We derive a stability condition guaranteeing both asymptotic stability and H-infinity tracking performance by employing a newly proposed time-dependent line-integral fuzzy Lyapunov-Krasovskii functional. A new integral inequality is also introduced, by which the proposed stability condition is formulated in terms of linear matrix inequalities. Finally, the effectiveness of the proposed method is demonstrated through a simulation example.

Acknowledgement

Supported by : Korea Electric Power Corporation, National Research Foundation of Korea (NRF)

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