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The Korean Institute of Electrical Engineers (대한전기학회)
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Robust Stability Analysis for a Fuzzy Feedback Linearization Method using a Takagi-Sugeno Fuzzy Model

  • Published : 1997.08.01
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Abstract

In this paper, robust stability analysis for the fuzzy feedback linearization regulator is presented. Well-known Takagi-Sugeno fuzzy model is used as the MISO nonlinear plant model. Uncertainty and disturbance are assumed to be included in the model structure with known bounds. For these structured uncertainty and disturbances, robust stability of the close system is analyzed in both input-output sense and Lyapunov sense. The robust stability conditions are proposed by using multivariable circle criterion and the relationship between input-output stability and Lyapunov stability. The proposed stability analysis is illustrated by a simple example.

Keywords

References

  1. Applied nonlinear control J.E.Slotine;W.Li
  2. Nonlinear control systems A.Isidori
  3. Fuzzy control M.Sugeno
  4. Adaptive fuzzy systems and control: design and stability analysis L.Wang
  5. IEEE Trans. Fuzzy Systems v.4 no.1 $H^ {\infty}$ tracking design of uncertain nonlinear SISO systems : adaptive fuzzy approach B.S.Chen;C.H.Lee;Y.C.Chang
  6. IEEE Trans. Syst. Man. Cybern. v.15 no.1 Fuzzy Identification of systems and its applications to modeling and control T.Takagi;M.Sugeno
  7. IEEE Trans. Syst. Man. Cybern. v.14 no.6 $L_2$-stability and the related design concept for SISO linear system associated with fuzzy logic controller K.S.Ray;S.G.Ananda;D.D.Majumder
  8. IEEE Trans. Syst. Man. Cybern. v.14 no.2 Application of circle criterion for stability analysis of the linear SISO and MIMO systems associated with fuzzy logic controller K.S.Ray;D.D.Majumder
  9. Proc. Int Fuzzy Eng. Symp. '91 v.2 Extended circle criterion and stability analysis and design of fuzzy control systems S.Kitamura;T.Kurozumi
  10. Fuzzy Sets Syst. v.45 no.2 Stability analysis and design of fuzzy control systems K.Tanaka;M.Sugeno
  11. IEEE Trans. Fuzzy Systems v.2 no.2 A robust stabilization problem of fuzzy controller systems and its applications to backing up control of a truck-trailer K.Tanaka;M.Sano
  12. IEEE Trans. Fuzzy Systems v.4 no.1 Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H${\infty}$ control theory, and linear matrix inequalities K.Tanaka;T.Ikeda;H.O.Wang
  13. IEEE Trans. Automat. Contr. v.26 no.2 A multiloop generalization of the circle criterion for stability margin analysis M.Safonov;M.Athans
  14. Multivariable circle criterion in recent Mathematical Development in Control H.H.Rosenbrock;D.J.Bell(ed.)
  15. Modified multivariable circle theorems in recent Mathematical Development in Control P.A.Cook;D.J.Bell(ed.)
  16. Nonlinear system analysis M.Vidyasaga