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| author | priyanka | 2015-06-24 15:03:17 +0530 |
|---|---|---|
| committer | priyanka | 2015-06-24 15:03:17 +0530 |
| commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
| tree | ab291cffc65280e58ac82470ba63fbcca7805165 /29/CH11/EX11.10.b | |
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initial commit / add all books
Diffstat (limited to '29/CH11/EX11.10.b')
| -rwxr-xr-x | 29/CH11/EX11.10.b/exa11_10_b.sce | 30 |
1 files changed, 30 insertions, 0 deletions
diff --git a/29/CH11/EX11.10.b/exa11_10_b.sce b/29/CH11/EX11.10.b/exa11_10_b.sce new file mode 100755 index 000000000..c6ee7d48f --- /dev/null +++ b/29/CH11/EX11.10.b/exa11_10_b.sce @@ -0,0 +1,30 @@ +//Caption:calculate_Td,tr,Tp,Mp
+//example 11_10_b
+//page 478
+s=%s;
+syms Td
+G=16/(s^2+1.6*s)
+G1=1+s*Td
+H=1;
+a=G*G1
+CL=a/.H
+CL=simple(CL)
+disp(CL,"C(s)/R(s)=");
+zeta=0.8//given
+//since zeta=0.8 so 2*zeta*Wn=1.6+16*Td
+Wn=sqrt(16)
+//so on solving
+Td=0.3
+//so transfer function takes the form:
+CL1=(16+4.8*s)/(s^2+6.4*s+6)
+disp(CL1,"C(s)/R(s)=");
+Wn1=sqrt(16)
+//2*zeta1*Wn1=6.4
+zeta1=6.4/(2*Wn1)//damping ratio
+Wd=Wn1*sqrt(1-zeta1^2)//damped frequency
+Mp=(exp(-(zeta1*%pi)/sqrt(1-zeta1^2)))*100//max. overshoot
+tr=(%pi-atan(sqrt(1-zeta1^2)/zeta1))/(Wn1*sqrt(1-zeta1^2))//rise time
+Tp=%pi/Wd//peak time
+disp(Tp,"peak time=");
+disp(Mp,"max. peak overshoot=")
+disp(tr,"rise time=")
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