The purpose of this paper is to develop systematic analysis and design meth
ods for a two-inertia system. A Conventional proportional-integral speed co
ntrol system with a torsional load is redesigned, and the damping character
istic of the system is derived and analyzed. It is shown that the dynamic c
haracteristic of the system strongly depends on the inertia ratio of load t
o motor. Three kinds of typical pole assignments with identical radius/damp
ing coefficient/real part are applied and compared, and the merits of each
pole-assignment design are concluded. Furthermore, for small inertia ratio,
we present how to improve the damping of the system by a derivative feedba
ck of motor speed.