From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001 From: priyanka Date: Wed, 24 Jun 2015 15:03:17 +0530 Subject: initial commit / add all books --- 29/CH11/EX11.10.b/exa11_10_b.sce | 30 ++++++++++++++++++++++++++++++ 1 file changed, 30 insertions(+) create mode 100755 29/CH11/EX11.10.b/exa11_10_b.sce (limited to '29/CH11/EX11.10.b/exa11_10_b.sce') 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=") -- cgit