Disturbance Rejection of General Linear Neutral Time Delay Systems, via Measurement Output Feedback

The problem of disturbance rejection (DR) for general linear left-invertible neutral multi-delay systems, via proportional realizable controller feeding back measurable disturbances and measurement outputs, is studied here. The necessary and sufficient conditions for the problem to have a realizable solution are established and the general analytical expressions of the controller matrices solving the problem are derived. The conditions and the solution of the controller are computed using a finite number of explicit algebraic manipulations.