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Design of Fuzzy Output Feedback Controller for The Nonlinear Systems with Time -Delay

  • Shin, Hyun-Seok (KCS Lab., Dept. of Electrical and Electronic Engr., Yonsei Univ) ;
  • Kim, Eun-Tai (KCS Lab., Dept. of Electrical and Electronic Engr., Yonsei Univ) ;
  • Park, Mignon (KCS Lab., Dept. of Electrical and Electronic Engr., Yonsei Univ)
  • Published : 2002.12.01

Abstract

This Paper Proposes a design method of a fuzzy output feedback controller for the nonlinear systems with the unknown time- delay. Recently, Cao et ai. proposed a stabilization method for the nonlinear time-delay systems using a fuzzy controller when the time-delay is known. However, the time-delay is likely to be unknown in practical. We represent the nonlinear systems with the unknown time-delay by Takagi-Sugeno (T-5) fuzzy model and design the fuzzy observer and the parallel distributed compensation (PDC) law based on this observer. By applying Lyapunov-Krasovskii theorem to the closed-loop system, the sufficient condition for the asymptotic stability of the equilibrium Point is derived and converted into the linear matrix inequality (LMI) Problem.

Keywords

References

  1. IEEE Trans. Fuzzy Syst. v.8 no.2 Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach Y. Y. Cao;P. M. Frank https://doi.org/10.1109/91.842153
  2. IEEE Trans. Fuzzy Syst. v.8 no.6 Output feedback robust H$H^{\infty}$ control of uncertain fuzzy dynamic systems with time-varying delay K. R. Lee;J. H. Kim;E. T. Jeung;H. B. Park https://doi.org/10.1109/91.890325
  3. IEEE Trans. Fuzzy Syst. v.10 no.1 Stability of fuzzy control systems with bounded uncertain delays Z. Yi;P. A. Heng https://doi.org/10.1109/91.983283
  4. Proc. Of the $38^{th}$ Conf. on Decision & Control Delay effects and dynamical compensation for time-delay systems D. Ivanescu;J. -M. Dion;L. Dugard;S. -I. Niculescu
  5. Proc. of the 38th Conf. on Decision & Control Delay effects on stability: a survey V. B. Komanovskii;S. -I. Niculescu;K. Gu
  6. IEEE Trans. Automat. Contr. v.47 no.2 Lyapunov equation for the stability of linear delay systems of retarded and neural type P. -A. Bliman https://doi.org/10.1109/9.983374
  7. Fuzzy Sets and Syst. v.45 no.2 Stability analysis and design of fuzzy control systems T. Takagi;M. Sugeno https://doi.org/10.1016/0165-0114(92)90113-I
  8. IEEE Trans. Fuzzy Syst. v.6 no.1 Analysis and design of fuzzy controller and fuzzy observer X. J. Ma;Z. -Q. Sun;Y. -Y. He https://doi.org/10.1109/91.660807
  9. IEE Proc.-Control Theory Appl. v.148 no.3 LMI approach to delay-dependent robust stability for uncertain time-delay systems T. -J. Su;C. -Y. Lu;J. S. -H. Tsai
  10. Stability of Motion N. N. Krasovskii
  11. Applied Mathematical Sciences 3 Theory of Functional Differential Equations J. K. Hale
  12. IEEE Trans. Syst., Man, Cybern. v.15 Fuzzy identification of systems and its applications to modeling and control T. Takagi;M. Sugeno
  13. Linear matrix inequalities in systems and control theory S. Boyd;L. E. Ghaoui;E. Feron;V. Balakrishnan
  14. IEEE Trans. Fuzzy Syst. v.9 no.3 Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model C. S. Tseng;B. S. Chen;H. J. Uang https://doi.org/10.1109/91.928735