Galil DMC-1700 Manual De Usuario
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.