Stochastic Stabilization of TS Fuzzy System with Markovian Input Delay

마코프 입력 지연 시스템의 확률적 안정화

  • Lee, Ho-Jae (Dept. of Electrical and Electronic Eng., Yonsei Univ.) ;
  • Park, Jin-Bae (Dept. of Electrical and Electronic Eng., Yonsei Univ.) ;
  • Lee, Sang-Youn (School of Electronic and Information, Kunsan National Univ.) ;
  • Joo, Young-Hoon (School of Electronic and Information, Kunsan National Univ.)
  • Published : 2001.12.01

Abstract

This paper discusses a stochastic stabilization of Takagi-Sugeno (75) fuzzy system with Markovian input delay. The finite Markovian process is adopted to model the input delay of the overall control system. It is assumed that the zero and hold devices are used for control input. The continuous-time 75 fuzzy system with the Markovian input delay is discretized for easy handling delay, accordingly, the discretized 75 fuzzy system is represented by a discrete-time 75 fuzzy system with jumping parameters. The stochastic stabilizibility of the jump 75 fuzzy system is derived and formulated in terms of linear matrix inequalities (LMls).

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