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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
commitb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch)
treeab291cffc65280e58ac82470ba63fbcca7805165 /1151/CH11
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-rwxr-xr-x1151/CH11/EX11.1/example1.sce23
-rwxr-xr-x1151/CH11/EX11.2/example2.sce20
-rwxr-xr-x1151/CH11/EX11.3/example3.sce27
-rwxr-xr-x1151/CH11/EX11.4/example4.sce15
-rwxr-xr-x1151/CH11/EX11.5/example5.sce15
-rwxr-xr-x1151/CH11/EX11.6/example6.sce16
-rwxr-xr-x1151/CH11/EX11.7/example7.sce16
7 files changed, 132 insertions, 0 deletions
diff --git a/1151/CH11/EX11.1/example1.sce b/1151/CH11/EX11.1/example1.sce
new file mode 100755
index 000000000..7a23cec31
--- /dev/null
+++ b/1151/CH11/EX11.1/example1.sce
@@ -0,0 +1,23 @@
+printf(" Given C(s)/R(s)=14/(s^2+1.4*s+14)")
+printf("characterstic equation of the given system is s^2+1.4*s+14=0");
+printf("compare it with the standard second order characterstic equation s^2+2*d*w*s+w^2=0");
+w=sqrt(14);
+d=1.4/(2*w);
+d1=.7;
+t=2*(d1-d)/w;
+pt1=%pi/(w*sqrt(1-d^2));
+mo1=exp((-%pi*d)/sqrt(1-d^2))*100;
+rt=(%pi-atan(sqrt((1-d)/d)))/(w*sqrt(1-d^2));
+disp(t,"Td=")
+disp(pt1,"peak time(in sec)for sytem without derivative control is")
+disp(rt,"rise time(in sec)for sytem without derivative control is")
+disp(mo1,"maximum overshoot(in %)for sytem without derivative control is")
+printf("overal transfer function with derivative control is C(s)/R(s)=14*(1+0.274*s)/(s^2+5.236*s+14)")
+printf("c(t)=1-e^(-2.618*t)*cos(2.673*t)+0.455*e^(-2.618t)*sin(2.673t)")
+tp=(%pi-atan(2.58))/2.673;
+tr=(1/2.673)*atan(1/0.455);
+mo2=1-%e^(-2.618*tp)*cos(2.673*tp)+0.455*%e^(-2.618*tp)*sin(2.673*tp);
+mp=(mo2-1)*100;
+disp(tp,"peak time(in sec)for sytem with derivative control is")
+disp(tr,"rise time(in sec)for sytem with derivative control is")
+disp(mp,"maximum overshoot(in %)for sytem with derivative control is")
diff --git a/1151/CH11/EX11.2/example2.sce b/1151/CH11/EX11.2/example2.sce
new file mode 100755
index 000000000..c398f90f6
--- /dev/null
+++ b/1151/CH11/EX11.2/example2.sce
@@ -0,0 +1,20 @@
+printf("characterstic equation of the given system is s^2+1.4*s+14=0");
+printf("compare it with the standard second order characterstic equation s^2+2*d*w*s+w^2=0");
+w=sqrt(14);
+d=1.4/(2*w);
+d1=.7;
+Kt=2*(d1-d)/w;
+ess1=2*d/w;
+disp(d,"damping ratio")
+disp(w,"natural frrequency(in rad/sec)=")
+disp(ess1,"steady state error without derivative control = ")
+printf("overal transfer function with derivative control is C(s)/R(s)=w^2/(s^2+(2dw+w^2Kt)*s+w^2)=14/(s^2+5.23*s+14")
+disp(Kt,"Kt=")
+rt=(%pi-atan(sqrt((1-d1)/d1)))/(w*sqrt(1-d1^2));
+pt1=%pi/(w*sqrt(1-d1^2));
+mo1=exp((-%pi*d1)/sqrt(1-d1^2))*100;
+ess2=2*d1/w+Kt;
+disp(pt1,"peak time(in sec)for sytem with derivative control is")
+disp(rt,"rise time(in sec)for sytem with derivative control is")
+disp(mo1,"maximum overshoot(in %)for sytem with derivative control is")
+disp(ess2,"steady state error with derivative control = ")
diff --git a/1151/CH11/EX11.3/example3.sce b/1151/CH11/EX11.3/example3.sce
new file mode 100755
index 000000000..60ef2b195
--- /dev/null
+++ b/1151/CH11/EX11.3/example3.sce
@@ -0,0 +1,27 @@
+printf(" Given C(s)/R(s)=10/(s^2+2*s+10)")
+printf("characterstic equation of the given system is s^2+2*s+10=0");
+printf("compare it with the standard second order characterstic equation s^2+2*d*w*s+w^2=0");
+w=sqrt(10);
+d=1/(2*w);
+mo1=exp((-%pi*d)/sqrt(1-d^2))*100;
+ts1=4/(d*w);
+ess1=2*d/w;
+disp(d,"damping ratio")
+disp(w,"natural frrequency(in rad/sec)=")
+disp(ess1,"steady state error without error control = ")
+disp(ts1,"settling time(in sec)for sytem without derivative control is")
+disp(mo1,"maximum overshoot(in %)for sytem without derivative control is")
+printf("overal transfer function with derivative control is C(s)/R(s)=10(1+s*Ke)/(s*(s+2)+10*(1+s*Ke))")
+printf("characterstic equation of the error control system is s^2+s*(2+10*Ke)+10=0");
+Ke=(2*d*w-2)/10;
+disp(Ke,"Ke=");
+printf("characterstic equation of the error control system with Ke = 0.16 is s^2+s*3.16+10)=0");
+d2=3.16/(2*w);
+mo2=exp((-%pi*d2)/sqrt(1-d2^2))*100;
+ts2=4/(d2*w);
+ess2=2*d2/w;
+disp(d2,"damping ratio for error control system=")
+disp(w,"natural frrequency(in rad/sec) of error control system=")
+disp(ess2,"steady state error with error control = ")
+disp(ts2,"settling time(in sec)for sytem with derivative control is")
+disp(mo2,"maximum overshoot(in %)for sytem with derivative control is")
diff --git a/1151/CH11/EX11.4/example4.sce b/1151/CH11/EX11.4/example4.sce
new file mode 100755
index 000000000..f3b65377a
--- /dev/null
+++ b/1151/CH11/EX11.4/example4.sce
@@ -0,0 +1,15 @@
+printf(" unity feedback system with transfer function G(s)=K/(s*(s+10))\n Determine K so that the syetm will have damping ratio0.5.For this value of K find settling time ,peak overshootand peak time for unit step input");
+printf("characterstic equation of the given system is 1+G(s)H(s)=s^2+10*s+K=0");
+printf("compare it with the standard second order characterstic equation s^2+2*d*w*s+w^2=0");
+d=0.5;
+K=(10/(2*d))^2;
+w=sqrt(K);
+ts1=4/(d*w);
+mo1=exp((-%pi*d)/sqrt(1-d^2))*100;
+pt1=%pi/(w*sqrt(1-d^2));
+disp(K,"K=")
+disp(d,"damping ratio")
+disp(w,"natural frrequency(in rad/sec)=")
+disp(pt1,"peak time(in sec)for sytem is")
+disp(mo1,"maximum overshoot(in %)for sytem is")
+disp(ts1,"settling time(in sec)is")
diff --git a/1151/CH11/EX11.5/example5.sce b/1151/CH11/EX11.5/example5.sce
new file mode 100755
index 000000000..b843949ca
--- /dev/null
+++ b/1151/CH11/EX11.5/example5.sce
@@ -0,0 +1,15 @@
+printf(" Given G(s)=10/(s*(s+2))");
+printf("characterstic equation of the given system is 1+G(s)H(s)= s^2+2*s+10=0");
+printf("compare it with the standard second order characterstic equation s^2+2*d*w*s+w^2=0");
+w=sqrt(10);
+d=1/(2*w);
+ess1=2*d/w;
+disp(d,"damping ratio")
+disp(w,"natural frrequency(in rad/sec)=")
+disp(ess1,"steady state error without error control = ")
+printf("overal transfer function with derivative control is C(s)/R(s)=10/(s^2+(2+K)*s+10))")
+printf("characterstic equation of the error control system is s^2+s*(2+K)+10=0");
+K=(2*d*w-2)/10;
+disp(K,"K=");
+ess=0.38
+disp(ess,"steady state error=")
diff --git a/1151/CH11/EX11.6/example6.sce b/1151/CH11/EX11.6/example6.sce
new file mode 100755
index 000000000..97e9a310d
--- /dev/null
+++ b/1151/CH11/EX11.6/example6.sce
@@ -0,0 +1,16 @@
+printf(" Given G(s)=10/(s*(s+2))");
+printf("characterstic equation of the given system is 1+G(s)H(s)= s^2+2*s+10=0");
+printf("compare it with the standard second order characterstic equation s^2+2*d*w*s+w^2=0");
+w=sqrt(10);
+d=1/(2*w);
+ess1=2*d/w;
+disp(d,"damping ratio")
+disp(w,"natural frrequency(in rad/sec)=")
+disp(ess1,"steady state error without error control = ")
+printf("overal transfer function with derivative control is C(s)/R(s)=2*Ka/(s^2+s*(2+2*Ka)+2*Ka))");
+printf("characterstic equation of the error control system is s^2+s*(2+2*Ka)+2*Ka=0");
+printf("1+Kt=0.2*Ka");
+Ka=(1.98/0.4)^2;
+Kt=0.2*Ka-1;
+disp(Ka,"Ka=")
+disp(Kt,"Kt=")
diff --git a/1151/CH11/EX11.7/example7.sce b/1151/CH11/EX11.7/example7.sce
new file mode 100755
index 000000000..97e9a310d
--- /dev/null
+++ b/1151/CH11/EX11.7/example7.sce
@@ -0,0 +1,16 @@
+printf(" Given G(s)=10/(s*(s+2))");
+printf("characterstic equation of the given system is 1+G(s)H(s)= s^2+2*s+10=0");
+printf("compare it with the standard second order characterstic equation s^2+2*d*w*s+w^2=0");
+w=sqrt(10);
+d=1/(2*w);
+ess1=2*d/w;
+disp(d,"damping ratio")
+disp(w,"natural frrequency(in rad/sec)=")
+disp(ess1,"steady state error without error control = ")
+printf("overal transfer function with derivative control is C(s)/R(s)=2*Ka/(s^2+s*(2+2*Ka)+2*Ka))");
+printf("characterstic equation of the error control system is s^2+s*(2+2*Ka)+2*Ka=0");
+printf("1+Kt=0.2*Ka");
+Ka=(1.98/0.4)^2;
+Kt=0.2*Ka-1;
+disp(Ka,"Ka=")
+disp(Kt,"Kt=")