Galil DMC-1700 Manual De Usuario

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194 • Chapter 10 Theory of Operation 
DMC-1700/1800 
Encoder 
Kf = 4N/2π = 318 [count/rad] 
ZOH 
2000/(s+2000) 
Digital Filter 
KP = 12.5,  KD = 245,  T = 0.001 
Therefore, 
D(z) = 1030 (z-0.95)/Z 
Accordingly, the coefficients of the continuous filter are: 
P = 50 
D = 0.98 
The filter equation may be written in the continuous equivalent form:  
G(s) = 50 + 0.98s = .098 (s+51)  
The system elements are shown in Fig. 10.7. 
 
Σ
50+0.980s
318
V
ENCODER
500
S
2
FILTER
2000
S+2000
0.0003
4
ZOH
DAC
AMP
MOTOR
 
Figure 10.7  - Mathematical model of the control system 
The open loop transfer function, A(s), is the product of all the elements in the loop. 
A = 390,000 (s+51)/[s2(s+2000)] 
To analyze the system stability, determine the crossover frequency, 
ωc at which A(j ωc) equals one.  This can be 
done by the Bode plot of A(j 
ωc), as shown in Fig. 10.8.