The figure below shows a simple diagram for deriving the model of a DC servomotor, which is a rotational electromechanical system. On the cir- cuit side,
v(t)
is the input armature voltage, L is the inductance constant,
R
is the resistance constant, and
i(t)
is the armature circuit current. On the rotational mechanical side, J is the lumped rotational inertia of the motor shaft and load, c R is the rotational viscous damping coefficient, and the output is angular displacement
\theta (t)
(whose time derivative is angular velocity
\omega (t)
.