Design of pseudo-predictor feedback for neutral-type linear systems with both state and input delays

In this paper, the stabilization problem of neutral-type linear time-delay systems with both state and input delays is studied. A pseudo-predictor feedback (PPF) approach is established to predict the future states such that the input delay is compensated properly. It is shown that the considered system can be stabilized by the PPF controller if and only if an associated integral delay system is asymptotically stable. Moreover, it is proved that the PPF controller can be safely implemented without involving any input filters. The computation of the feedback gains problem is successfully converted to a simultaneous stabilization problem, which is solved by adopting a direct optimization approach. The proposed PPF approach is also extended to neutral-type time-varying time-delay systems. A numerical example is carried out to illustrate the effectiveness of the proposed controllers.