diff options
Diffstat (limited to '257/CH8/EX8.17')
-rw-r--r-- | 257/CH8/EX8.17/example_8_17.sce | 39 |
1 files changed, 39 insertions, 0 deletions
diff --git a/257/CH8/EX8.17/example_8_17.sce b/257/CH8/EX8.17/example_8_17.sce new file mode 100644 index 000000000..179904bfb --- /dev/null +++ b/257/CH8/EX8.17/example_8_17.sce @@ -0,0 +1,39 @@ +//determining critical value of K
+s=%s
+syms K
+m=s^3+10*s^2+(K+21)*s+13*K
+cof_a_0 = coeffs(m,'s',0);
+cof_a_1 = coeffs(m,'s',1);
+cof_a_2 = coeffs(m,'s',2);
+cof_a_3 = coeffs(m,'s',3);
+
+r=[cof_a_0 cof_a_1 cof_a_2 cof_a_3]
+
+n=length(r);
+routh=[r([4,2]);r([3,1])];
+routh=[routh;-det(routh)/routh(2,1),0];
+t=routh(2:3,1:2); //extracting the square sub block of routh matrix
+routh=[routh;-det(t)/t(2,1),0]
+disp(routh,"rouths tabulation=")
+routh(3,1)=0 //For marginaly stable system
+
+disp("for its closed loop poles more negetive than -1")
+s=%s
+syms K
+m=s^3+7*s^2+(K+4)*s+12*K-12
+cof_a_0 = coeffs(m,'s',0);
+cof_a_1 = coeffs(m,'s',1);
+cof_a_2 = coeffs(m,'s',2);
+cof_a_3 = coeffs(m,'s',3);
+
+r=[cof_a_0 cof_a_1 cof_a_2 cof_a_3]
+
+n=length(r);
+routh=[r([4,2]);r([3,1])];
+routh=[routh;-det(routh)/routh(2,1),0];
+t=routh(2:3,1:2); //extracting the square sub block of routh matrix
+routh=[routh;-det(t)/t(2,1),0]
+disp(routh,"rouths tabulation=")
+routh(3,1)=0 //For marginaly stable system
+
+
|