lag compensator
DESCRIPTION
Design a lag compensator to control the stability and settling time of the dc motor model FN38TRANSCRIPT
![Page 1: Lag Compensator](https://reader034.vdocuments.net/reader034/viewer/2022052209/553b1874550346e2498b4666/html5/thumbnails/1.jpg)
DC MOTOR COMPENSATOR
![Page 2: Lag Compensator](https://reader034.vdocuments.net/reader034/viewer/2022052209/553b1874550346e2498b4666/html5/thumbnails/2.jpg)
ZAIN AHMED (F-3634) ISLAM NAQI (F-3616) FAISAL ASHRAF (F-3629) AFAQ SATTI (F-3335)
![Page 3: Lag Compensator](https://reader034.vdocuments.net/reader034/viewer/2022052209/553b1874550346e2498b4666/html5/thumbnails/3.jpg)
OBJECTIVE
To increase the Stability of DC motor and to decrease the settling time, we are using lag compensator.
![Page 4: Lag Compensator](https://reader034.vdocuments.net/reader034/viewer/2022052209/553b1874550346e2498b4666/html5/thumbnails/4.jpg)
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.
![Page 5: Lag Compensator](https://reader034.vdocuments.net/reader034/viewer/2022052209/553b1874550346e2498b4666/html5/thumbnails/5.jpg)
VALUES FOR THE PHYSICAL PARAMETERS:
![Page 6: Lag Compensator](https://reader034.vdocuments.net/reader034/viewer/2022052209/553b1874550346e2498b4666/html5/thumbnails/6.jpg)
ELECTRO MECHANICAL SYSTEM
![Page 7: Lag Compensator](https://reader034.vdocuments.net/reader034/viewer/2022052209/553b1874550346e2498b4666/html5/thumbnails/7.jpg)
TRANSFER FUNCTION:
2))((
)()()(
)()()(
KRLsbJs
K
V
sKsVsIRLs
sKIsbJss
![Page 8: Lag Compensator](https://reader034.vdocuments.net/reader034/viewer/2022052209/553b1874550346e2498b4666/html5/thumbnails/8.jpg)
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)
![Page 9: Lag Compensator](https://reader034.vdocuments.net/reader034/viewer/2022052209/553b1874550346e2498b4666/html5/thumbnails/9.jpg)
SETTLING TIME: 17 SEC,FINAL VALUE: 10 SEC,
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ROOT LOCUS
![Page 11: Lag Compensator](https://reader034.vdocuments.net/reader034/viewer/2022052209/553b1874550346e2498b4666/html5/thumbnails/11.jpg)
BODE PLOT
![Page 12: Lag Compensator](https://reader034.vdocuments.net/reader034/viewer/2022052209/553b1874550346e2498b4666/html5/thumbnails/12.jpg)
LAG COMPENSATOR
![Page 13: Lag Compensator](https://reader034.vdocuments.net/reader034/viewer/2022052209/553b1874550346e2498b4666/html5/thumbnails/13.jpg)
SETTLING TIME: 0.126FINAL VALUE:0.99
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ROOT LOCUS:
![Page 15: Lag Compensator](https://reader034.vdocuments.net/reader034/viewer/2022052209/553b1874550346e2498b4666/html5/thumbnails/15.jpg)
BODE PLOT:
![Page 16: Lag Compensator](https://reader034.vdocuments.net/reader034/viewer/2022052209/553b1874550346e2498b4666/html5/thumbnails/16.jpg)
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.