The effect of distance between open-loop poles and closed-loop poles on the numerical accuracy of pole assignment

Abstract

The early works on the numerical performance of the pole assignment algorithms show that there are several parameters that affect the error made in calculations of the resulting compensators when fixed precision arithmetic is used. It has been already shown that increasing the order of the system and the ratio of real poles to all poles of the open-loop (and closed-loop) system (RPR) cause an exponential increase in the numerical errors made in pole assignment. In this paper, the effect of maximum distance between open-loop system poles and target closed-loop system poles (MD) on the performance of pole assignment algorithms is investigated for the first time.