- S. Testouri
- Saadaoui and M. Benrejeb,“ Stabilizing first…
In this paper, we give a new method for computing the set of all stabilizing PID controllers applied to a strictly proper linear system with time delay. First, a necessary condition and a constant gain stabilizing algorithm are used to calculate the admissible ranges of one of the controller’s parameters. Then, for a fixed value of this parameter the stabilizing regions in the remaining two parameters are determined using the Ddecomposition method. Finally, an illustrative example is given to show the effectiveness of the proposed approach. Keywords— PID controller, Time delay systems, Stability, Ddecomposition, stability, Hermite-Biehler theorem.