Robust stabilization for a class of uncertain neutral systems via observer-based output feedback

In this paper, we investigate the robust stabilization problem for a class of linear uncertain neutral-type systems via observer-based output feedback controllers. Based on the Lyapunov-Krasovskii stability theory, delay-dependent sufficient conditions for the existence of linear full-order robust memoryless output feedback controllers are formulated. By the singular value decomposition approach, the results can be expressed in terms of a set of strict linear matrix inequalities (LMIs). A numerical example is given to demonstrate the effectiveness of the proposed methods.