Advertisement

Stability Analysis and Controller Design of Discrete T-S Fuzzy System

  • Jianxiang Yu
  • Songtao Zhang
  • Guang Ren
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4223)

Abstract

For the conservative and difficulty of checking the stability of discrete T-S fuzzy control system with the common Lyapunov function approach and the fuzzy Lyapunov function approach, a fuzzy controller is designed to acquire globally asymptotical stability for discrete fuzzy system with the method of parallel distributed compensation (PDC) after the definition of a piecewise fuzzy Lyapunov function. Then a new sufficient condition to check the stability of closed-loop discrete T-S fuzzy system is proposed and proved. This condition is less conservative and difficult than above approaches. At last, a simulation example shows that the approach is effective.

Keywords

Lyapunov Function Fuzzy System Fuzzy Controller Fuzzy Control System Common Lyapunov Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Tanaka, K., Sugeno, M.: Stability Analysis and Design of Fuzzy Control System. Fuzzy Sets and Systems 45, 135–156 (1992)MATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Tanaka, K., Hori, T., Wang, H.O.: A Multiple Lyapunov Function Approach to Stabilization of Fuzzy Control Systems. IEEE Trans. Fuzzy Systems 11, 582–589 (2003)CrossRefGoogle Scholar
  3. 3.
    Xiu, Z.H., Ren, G.: Stability Analysis and Systematic Design of Takagi-Sugeno Fuzzy Control Systems. Fuzzy Sets and Systems 151, 119–138 (2005)MATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    Henon, M.: A Two Dimensional Map with A Strange Attractor. Math. Phys. 50, 69–73 (1976)MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Jianxiang Yu
    • 1
  • Songtao Zhang
    • 1
  • Guang Ren
    • 1
  1. 1.Marine Engineering CollegeDalian Maritime UniversityDalianP.R. China

Personalised recommendations