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USER MANUAL 
Chapter 10 Theory of Operation  
  161 
DIGITAL
FILTER
Σ
ZOH
DAC
ENCODER
AMP
MOTOR
CONTROLLER
R
C
X
Y
V
E
P
Figure 10.4  - Functional Elements of a Motion Control System 
Motor-Amplifier 
The motor amplifier may be configured in three modes: 
1.  Voltage Drive 
2.  Current Drive 
3.  Velocity Loop 
The operation and modeling in the three modes is as follows: 
Voltage Drive 
The amplifier is a voltage source with a gain of Kv [V/V].  The transfer function relating the input 
voltage, V, to the motor position, P, is 
 
(
)(
)
[
]
P V
K
K S ST
ST
V
t
m
e
=
+
+
1
1
 
where 
 
T
RJ K
m
t
=
2
 [s] 
and 
 
T
L R
e
=
 [s] 
and the motor parameters and units are 
Kt 
Torque constant [Nm/A] 
Armature Resistance 
Ω 
Combined inertia of motor and load [kg.m2] 
Armature Inductance [H] 
When the motor parameters are given in English units, it is necessary to convert the quantities to MKS 
units.  For example, consider a motor with the parameters: 
 
Kt = 14.16 oz - in/A = 0.1 Nm/A 
 
R = 2 
Ω 
 
J = 0.0283 oz-in-s2 = 2.10-4 kg . m2 
 L 
0.004H