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DESCRIPTION
Design a lag compensator to control the stability and settling time of the dc motor model FN38
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DC MOTOR COMPENSATOR
ZAIN AHMED (F-3634) ISLAM NAQI (F-3616) FAISAL ASHRAF (F-3629) AFAQ SATTI (F-3335)
OBJECTIVE
To increase the Stability of DC motor and to decrease the settling time, we are using lag compensator.
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.
VALUES FOR THE PHYSICAL PARAMETERS:
ELECTRO MECHANICAL SYSTEM
TRANSFER FUNCTION:
2))((
)()()(
)()()(
KRLsbJs
K
V
sKsVsIRLs
sKIsbJss
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)
SETTLING TIME: 17 SEC,FINAL VALUE: 10 SEC,
ROOT LOCUS
BODE PLOT
LAG COMPENSATOR
SETTLING TIME: 0.126FINAL VALUE:0.99
ROOT LOCUS:
BODE PLOT:
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.
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