Robust tracking and disturbance rejection for neutral time-delay systems

Abstract

The robust servomechanism problem, which is to design a stabilizing controller such that the system output robustly tracks a given reference signal in the presence of certain disturbances, is considered for linear time-invariant time-delay systems of neutral type with discrete delays. The reference and the disturbance are assumed to satisfy a constant-coefficient linear delay-differential equation of neutral type with discrete delays. Necessary and sufficient conditions for the solvability of this problem are derived. The structure of the controller which solves this problem is also presented.