Design of the Optimal Controller for Takagi-Sugeno Fuzzy Systems and Its Application to Spacecraft control

Takagi-Sugeno 퍼지시스템에 대한 최적 제어기 설계 및 우주 비행체의 자세 제어 응용

  • Park, Yeon-Muk (Korea Advanced Institute of Science and Technology) ;
  • Tak, Min-Je (Korea Advanced Institute of Science and Technology)
  • 박연묵 (한국과학기술원 항공우주공학전공) ;
  • 탁민제 (한국과학기술원 항공우주공학전공)
  • Published : 2001.07.01


In this paper, a new design methodology for the optimal control of nonlinear systems described by the TS(Takagi-Sugeno) fuzzy model is proposed. First, a new theorem concerning the optimal stabilizing control of a general nonlinear dynamic system is proposed. Next, based on the proposed theorem and the inverse optimal approach, an optimal controller synthesis procedure for a TS fuzzy system is given, Also, it is shown that the optimal controller can be found by solving a linear matrix inequality problem. Finally, the proposed method is applied to the attitude control of a rigid spacecraft to demonstrate its validity.


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