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sensi Scilab Group Scilab Function sensi
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sensi - sensitivity functions
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[Si,Ri,Ti]=sensi(G,K,flag)
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G : standard plant (syslin list)
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K : compensator (syslin list)
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flag : character string 'o' (default value) or 'i'
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Se : output sensitivity function (I+G*K)^-1
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Te : G*K*Se (output complementary sensitivity function)
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sensi computes sensitivity functions. If G and K are given in state-space
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form, the systems returned are generically minimal. Calculation is made
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by lft, e.g., Se can be given by the commands P = augment(G,'S'),
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Se=lft(P,K). If flag = 'i', [Si,Ri,Ti]=sensi(G,K,'i') returns the input
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sensitivity functions.
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[Se;Re;Te]= [inv(eye()+G*K);K*inv(eye()+G*K);G*K*inv(eye()+G*K)];
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[Si;Ri;Ti]= [inv(eye()+K*G);G*inv(eye()+K*G);K*G*inv(eye()+K*G)];
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G=ssrand(1,1,3);K=ssrand(1,1,3);
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[Se,Re,Te]=sensi(G,K);
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Se1=inv(eye()+G*K); //Other way to compute
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ss2tf(Se) //Se seen in transfer form
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[Si,Ri,Ti]=sensi(G,K,'i');
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w1=[ss2tf(Si);ss2tf(Ri);ss2tf(Ti)]
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w2=[ss2tf(inv(eye()+K*G));ss2tf(G*inv(eye()+K*G));ss2tf(K*G*inv(eye()+K*G))];