α-robust H∞ state observer for a class of uncertain linear time-delay systems: an LMI approach

The analysis and synthesis problem of α-robust H_∞ state observer for a class of linear uncertain time-delay systems is considered. A sufficient condition for α-stability and H_∞ performance of the systems is derived based on which the observer is constructed by linear matrix inequalities (LMIs) approach. Finally, an illustrative example is given to demonstrate the superiority of the presented method.