Adaptive fuzzy controller under stability supervisor

This paper presents the analysis of stability conditions using the Lyapunov theorem in an adaptive fuzzy controller. The Lyapunov theorem is a very powerful theorem for the analysis of the stability of non-linear plants and can be adapted for fuzzy controllers (which are non-linear controllers). However, the lack of description means for fuzzy controllers leads designers of fuzzy controllers to use very efficient simulation softwares (like the toolbox "fuzzy logic" of Matlab). We propose an object oriented and flexible software to describe all the situations we can find in fuzzy control (static and dynamic control), and a good aid to stability analysis in complex systems.