Stabilization for Markovian Jump Nonlinear Systems with Time-Delay via T-S Fuzzy Control

시간 지연을 가지는 비선형 마르코비안 점프 시스템의 퍼지 제어

  • Song, Min-Kook (Electrical and Electronic Engineering, Yonsei University) ;
  • Park, Jin-Bae (Electrical and Electronic Engineering, Yonsei University) ;
  • Joo, Young-Hoon (School of Electronics and Information Engineering, Kunsan National University)
  • 송민국 (연세대학교 전기전자공학과) ;
  • 박진배 (연세대학교 전기전자공학과) ;
  • 주영훈 (군산대학교 전자정보공학부)
  • Published : 2008.10.31


This paper is concerned with the stabilization problem of Markovian jump nonlinear systems with time-delay via Takagi-Sugeno (T-S) fuzzy control approach. The T-S fuzzy models are employed to represent nonlinear systems with Markovian jump parameters and time-delay. The purpose of this paper is to design a mode-independent fuzzy controller such that the closed-loop Markovian jump fuzzy system is stochastically stable. Based on a stochstic Lyapunov function, stabilization sufficient conditions using a mode-independent fuzzy controller are derived for the Markovian jump fuzzy system in terms of Linear Matrix Inequalities (LMIs). Finally, a simulation example is presented to illustrate the effectiveness of the proposed method.