Sampled tracking for linear delayed plants using piecewise functioning controller

This article presents a control method to realize tracking of linear plants that deliver a delayed and sampled state. To do so, we make use of a class of piecewise functioning controller (PFC): bi-sampled controller. The use of this type of controller allows sampled tracking with a delay twice as much as that on the state's output. Thus, we propose an optimal mathematical approach of the dynamics of our controller. We then give an adaptation of this mathematical approach, using only the delayed and sampled state. Computer simulation results are given so as to enhance the theoretical aspect of our method.