Robust observer-based control for uncertain neutral systems

This paper is concerned with the observer-based state feedback control problem for a class of uncertain neutral systems. In the framework of Lyapunov stability theory, a full-order observer that guarantees the asymptotic stability of the error dynamic system is addressed. The singular value decomposition technique and the novel mathematical technique are utilized to obtain sufficient condition for neutral systems. The design of the observer and controller is formulated in terms of linear matrix equalities. Finally, a numerical example is included to illustrate effectiveness of the proposed method.