Fuzzy and neural network controller — a new tool for stability analysis

  • Andreas Simon
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1226)


Today, in important fields of application fuzzy and neural network controller are often not used because of the lack of a stability proof for such non-linear control systems. Therefore, we introduce a numerical algorithm which examines the stability of a closed-loop system in the Lyapunov sense without any analytical description of the plant or of the controller. We developed a software tool using this algorithm and we have accumulated many experiences in implementation and application of this method.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Y.Y. Chen, T.C. Tsao: A Description of the Dynamical Behaviour of Fuzzy Systems. IEEE Transactions on Systems, Man, and Cybernetics 19, 745–755 (1989)Google Scholar
  2. 2.
    C.S. Hsu: A Theory of Cell-to-Cell Mapping Dynamical Systems. Journal of Applied Mechanics 47, 931–939 (1980)Google Scholar
  3. 3.
    C.S. Hsu, R.S. Guttalu: An Unravelling Algorithm for Global Analysis of Dynamical Systems: An Application of Cell-to-Cell Mappings. Journal of Applied Mechanics 47, 940–948 (1980)Google Scholar
  4. 4.
    K. Michels, H.-G. Nitzke: Numerical Stability Analysis for Fuzzy Control (in German). Proceedings of Fuzzy-Neuro-Systeme '95, Darmstadt (1995)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Andreas Simon
    • 1
  1. 1.Institut für RegelungstechnikTechnische Universität BraunschweigGermany

Personalised recommendations