Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Stochastic Stabilization of TS Fuzzy System with Markovian Input Delay

마코프 입력 지연을 갖는 TS 퍼지 시스템의 확률전 안정화

  • 이호재 (연세대학교 전기전자공학과) ;
  • 주영훈 (군산대학교 전자전기공학부) ;
  • 이상윤 (군산대학교 전자전기공학부) ;
  • 박진배 (연세대학교 전기전자공학과)
  • Published : 2001.12.01
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Abstract

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

본 논문에서는 마코비안 압력 지연을 갖는 TS 퍼지 시스템의 확률적 안정화 방법을 제안한다. 유한 마코브프로세스는 전체 제어 시스템의 이력 시간 지연을 모델링하기 위해 채용된다. 또한, ZOH 장치는 제어 입력의 이산화에 이용된다고 가정한다. 마코프 입력 지연을 갖는 연속 시간 TS 퍼지 시스템은 지연을 쉽게 조작하기 위해 이산화 된다. 따라서 이산화된 TS 퍼지시스템은 점프 파라미터를 갖는 이산 시간 TS 퍼지시스템을 나타내어 진다. 점프 TS 퍼지시스템의 확륙적 안장화는 선형 행렬 부등식에 의해 유도되고 공식화된다.

Keywords

References

  1. Journal of the Franklin Institute v.336 Stochastically stability and H∞ control for discrete-time jump linear systems with time delay Y. Y. Cao;J. Lams
  2. IEEE Trans. on Automat. Contr. v.44 no.11 Control of Markovian jump discrete-time systems with normbounded uncertainty and unknown delay P. Shi;E. K. Boukas;R. K. Agarwal
  3. IEEE Control systems magazine Stability of networked control systems W. Zhang;M. S. Branicky;S. M. Phillips
  4. IEEE Trans. on Fuzzy Systems v.9 no.2 Robust fuzzy control of nonlinear systems with parametric uncertainties H. J. Lee;J. B. Park;G. Chen
  5. Fuzzy Sets and Systems v.125 no.1 Design of robust fuzzy-model-based controller with sliding mode control for SISO nonlinear systems W. Chang;J. B. Park;Y. H. Joo;G. Chen
  6. IEEE Trans. on Fuzzy Systems v.7 Hybrid state-space fuzzy model-based controller with dual-rate sampling for digital control of chaotic systems Y. H. Joo;G. Chen;L. S. Shieh
  7. IEEE Trans. on Circ. and Syst.-1 Design of sampled-data fuzzy-model-based control systems by using intelligent digital redesign W. Chang;J. B. Park;Y. H. Joo;G. Chen
  8. IEEE Trans. on Circ. and Syst.-1 v.48 no.10 Chaotifying continuous-time TS fuzzy systems viadiscretization Z.Li;J.B.Park;Y.H.Joo
  9. IEEE Trans. on Fuzzy Systems v.6 no.2 Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs K. Tanaka;T. Ikeda;H. O. Wang
  10. IEEE Trans. on Fuzzy Systems v.6 no.4 Fuzzy model-based control of complex plants K. Kiriakidis
  11. IEEE Trans. on Circ. and Syst.-1 v.48 no.6 Approaches to quadratic stabilization of uncertain fuzzy dynamic systems G. Feng
  12. 2D helicopter experiment Quanser consulting
  13. IEEE Trans on Indust. Electr. Design of a Switching-Type Fuzzy-Model-Based Controller for an Experimental Helicopter System W. Chang;J. B. Park;H. J. Lee;Y. H. Joo