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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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parentb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff)
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+//determining critical value of K
+s=%s
+syms K
+m=0.1*s^3+0.65*s^2+s+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
+sys=syslin('c',1/(0.1*s^3+0.65*s^2+s))
+k=kpure(sys)
+disp(k,"K(marginal)=")
+
+w=sqrt(-k/0.65)
+disp(w,"w = ")
+
+
+