H∞ dynamic output-feedback control for a class of linear neutral delay systems

The H_infin dynamic output feedback controller design of linear neutral delay systems is studied using Lyapunov-Krasovskii stability theory and linear matrix inequality approach. Based on feasibility positive definite solution to the linear matrix inequalities, we first develop a delay-independent stability criterion and a sufficient condition which makes the system asymptotically stable and guarantees the given H_infin-bound constraint on the disturbance attenuation; Then, we present a scheme of designing a dynamic output feedback H_infin controller via linear matrix-inequality; Finally, a numerical example is given to demonstrate the validity and effectiveness of the proposed approach.