Abstract

This paper presents the analysis of stability conditions using the Lyapunov theorem in an adaptive controller. The Lyapunov theorem is a very powerful theorem for the analysis of the stability of non-linear plants and can be adapted for controllers (which are non-linear controllers). However, the lack of description means for controllers leads designers of 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 control (static and dynamic control), and a good aid to stability analysis in complex systems.

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