Analyse de stabilité et synthèse des systèmes flous de type-2

Abstract

This memory has for object the stability analysis and synthesis of type-2 fuzzy systems to control non-linear systems. We present two types of fuzzy systems. In the first part, the continue T-S fuzzy systems, object of parameter uncertainties, are presented and numeric tool LMI, by deriving the conditions of stability in using Lyapunov synthesis. In the second part, we present discrete TSK type-2 fuzzy systems. We propose three new inference methods which replace the reduction type. The stability of TSK type-2 fuzzy systems is guaranteed by Lyapunov synthesis. At the end two simulation examples are presented to illustrate the approach proposed.