Observer design for Takagi-Sugeno descriptor models: an LMI approach
Abstract
This paper considers observer design for nonlinear descriptor systems. We propose approaches based on Takagi-Sugeno (TS)
models. An extended estimation vector is used in order to keep the descriptor structure of the observer. The design conditions
for this new type of observers are expressed as LMI constraints. The proposed observer structure, via an intermediate variable
as estimated variable, is able to recover the previous observer results for TS descriptors. Moreover, through a direct extension
via the so-called Finsler’s Lemma, relaxed conditions are obtained. Numerical examples show the effectiveness of the proposed
approaches