Stabilization by Controllers Having Integer Coefficients
Systems and Control
2026-01-21 v2 Systems and Control
Abstract
The system property of ``having integer coefficients,'' that is, a transfer function has an integer monic polynomial as its denominator, is significant in the field of encrypted control as it is required for a dynamic controller to be realized over encrypted data. This paper shows that there always exists a controller with integer coefficients stabilizing a given discrete-time linear time-invariant plant. A constructive algorithm to obtain such a controller is provided, along with numerical examples. Furthermore, the proposed method is applied to converting a pre-designed controller to have integer coefficients, while the original performance is preserved in the sense that the transfer function of the closed-loop system remains unchanged.
Cite
@article{arxiv.2505.00481,
title = {Stabilization by Controllers Having Integer Coefficients},
author = {Joowon Lee and Donggil Lee and Junsoo Kim},
journal= {arXiv preprint arXiv:2505.00481},
year = {2026}
}