Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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On ths Stability Issues of Linear Takagi-Sugeno Fuzzy Models

  • Joh, Joongseon (Department of Control and Instrucmentation Engineering Changwon National University)
  • Published : 1997.06.01
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Abstract

Stability issues of linear Takagi-Sugeno fuzzy modles are thoroughly investigated. At first, a systematic way of searching for a common symmetric positive definite P matrix (common P matrix in short), which is related to stability, is proposed for N subsystems which are under a pairwise commutativity assumption. Robustness issue under modeling uncertainty in each subsystem is then considered by proposing a quadratic stability criterion and a method of determining uncertainty bounds. Finally, it is shown that the pairwise commutative assumption can be in fact relaxed by interpreting the uncertainties as mismatch parts of non-commutative system matrices. Several examples show the validity of the proposed methods.

Keywords

References

  1. Information and Control v.8 no.3 Fuzzy Sets Zedeh,L.A.
  2. IEEE Transactions on Systems, Man and Cybernetics v.SMC-15 no.1 Fuzzy Identification of Systems and Its Applications to Modeling and Control Takagi,T.;Sugeno,M.
  3. Fuzzy Sets and Systems v.45 Stability Analysis and Design of Fuzzy Systems Tanaka,K.:Sugeno,M.
  4. Proc. First IEEE Int. Conference Fuzzy Systems An Approach to Stability Analysis of Second Order Fuzzy Systems Kawamoto,S.;Tada,K.;Ishigame,A.;Taniguchi,T.
  5. IEEE Trans. Fuzzy Systems v.3 no.4 Stability and Stabilizability of Fuzzy Neural-Linear Control Systems Tanaka,K.
  6. Proc. Int. Joint Conference of CFSA/IFIS/SOFT ’95 on Fuzzy Theory and Applications Assessment on Robustness Properties of a Class of Non-linear Systems with Fuzzy Logic Controllers Xia,K.;Chai,T.
  7. Proc. 34th Conference on Decision and Control Linear T-S Fuzzy Model Based Robust Stabilizing Controller Design Zhao,J.;Wertz,V.;Gorez,R.
  8. IEEE Trans. Automatic Control v.31 no.12 Adaptive Stabilization of Linear Systems via Switching Control Fu,M.;Barmish,B.R.
  9. IEEE Trans. Automatic Control v.39 no.9 Improving Transient Response of Adaptive Control Systems Using Multiple Models and Switching Narendra,K.S.;Balakrishnan,J.
  10. IEEE Trans. Automatic Control v.39 no.12 A Common Lyapunov Functions for Stable LTI Systems with Communting A-Matrices Narendra,K.S.;Balakrishnan,J.
  11. An Introduction to Fuzzy Control Driankov,D.;Hellendoorn.H.;Reinfrank,M.
  12. Proc. 1990 American Control Conference Toward Less Conservative Stability Criterion for Discrete-Time Linear Uncertain Systems Gu,K.;Chai,W.J.;Loh,N.K.
  13. Proc. 1991 American Control Conference Quadratic Stability Bound of DIscrete-Time Uncertain Systems Gu,K.