Design a lag compensator to control the stability and settling time of the dc motor model FN38

1. DC MOTOR
COMPENSATOR

2.  ZAIN AHMED (F-3634)
 ISLAM NAQI (F-3616)
 FAISAL ASHRAF (F-3629)
 AFAQ SATTI (F-3335)

3. OBJECTIVE
 To increase the Stability of DC motor and to decrease the
settling time, we are using lag compensator.

4. FN38
 Here we use the FN38 Series with encoded.
 Red is -VE.
 Blue is +VE.
 Grey is Ground.
 3 Encoded Outputs and 1 Feedback Output.

5. VALUES FOR THE PHYSICAL PARAMETERS:

6. ELECTRO MECHANICAL SYSTEM

7. TRANSFER FUNCTION:
2
))((
)()()(
)()()(
KRLsbJs
K
V
sKsVsIRLs
sKIsbJss








8. MATLAB CODE:
syms s
t=0.18/((2+8.7*s)*(0.0039*s+0.26)+(0.18^2))
[N,D]=numden(t)
n=sym2poly(N)
d=sym2poly(D)
step(n,d),figure(2)
rlocus(n,d),figure(3)
margin(n,d)

9. SETTLING TIME: 17 SEC,
FINAL VALUE: 10 SEC,

10. ROOT LOCUS

11. BODE PLOT

12. LAG COMPENSATOR

13. SETTLING TIME: 0.126
FINAL VALUE:0.99

14. ROOT LOCUS:

15. BODE PLOT:

16. RESULTS:
 Phase margin was 93.3 degree and After Lag
compensator it become 47.3 degree.
 Settling time was 17secs and After Lag
Compensator it become 0.126secs.