Observer design for discrete fuzzy time-delayed descriptor systems

This paper focuses on the observer design problem for discrete time-delayed descriptor systems with T-S fuzzy model. According to an equivalent transformation, the problem is converted into designing observer for standard state-space linear discrete systems with time-delays. In terms of linear matrix inequality (LMI), a sufficient condition for the existence of a fuzzy state observer is derived. And an numerical example is provided to show efficiency of the proposed method.