Non-stepwise reference tracking for time delay systems

This paper is focused on reference tracking and disturbance rejection for linear time-invariant time delay systems. The contribution is motivated by the fact that the task of reference tracking and disturbance rejection for non-stepwise those external inputs in the feedback loop is often ignored in the literature. The presented approach is based on algebraic operations in a special ring RMS and on the divisibility condition in the ring. The general idea for a feedback loop with two controllers is introduced. The methodology is clarified and verified by a simulation example in the Matlab/Simulink environment.