Determine the transfer functions from input voltage to angular velocity and from load torque to angular velocity for a PM DC motor rigidly connected to an inertial load. Assume resistance and inductance parameters Ra , La let the armature constant be ka.
Assume ideal energy conversion, so that ka = kT.
The motor has inertia Jm and damping coefficient bm, and it is rigidly connected to an inertial load with inertia J and damping coefficient b. The load torque TL acts on the load inertia to oppose the magnetic torque.