Premise Variables Cases for LMI based TS Fuzzy Observers

Abstract

This paper deal with the control of TS fuzzy system via fuzzy observer such as we consider the stability conditions of the augmented system ( TS fuzzy model + fuzzy observer) using different cases of the premise variables.We propose a new classification while using the premise variables for both TS fuzzy model and fuzzy observer. We show the existing differences when using premise variable with same or different nature (either measurable or unmeasurable) for TS fuzzy model and fuzzy observer. The LMI tools are used to represent the stability conditions and the design procedure.We present in this paper a comment about previous result of the augmented system stability (state and observer) in the unmeasurable case of the premise variable cited in [1] of Tanaka et al.