Scilab Website | Contribute with GitLab | Mailing list archives | ATOMS toolboxes
Scilab Online Help
2025.0.0 - English


sensi

sensitivity functions

Syntax

[Se, Re, Te] = sensi(G, K)
[Si, Ri, Ti] = sensi(G, K, flag)

Arguments

G

standard plant (syslin list)

K

compensator (syslin list)

flag

character string 'o' (default value) or 'i'

Se

output sensitivity function (I+G*K)^-1

Re

K*Se

Te

G*K*Se (output complementary sensitivity function)

Description

sensi computes sensitivity functions. If G and K are given in state-space form, the systems returned are generically minimal. Calculation is made by lft, e.g., Se can be given by the commands P = augment(G,'S'), Se=lft(P,K). If flag = 'i', [Si,Ri,Ti]=sensi(G,K,'i') returns the input sensitivity functions.

[Se;Re;Te]= [inv(eye()+G*K);K*inv(eye()+G*K);G*K*inv(eye()+G*K)];
[Si;Ri;Ti]= [inv(eye()+K*G);G*inv(eye()+K*G);K*G*inv(eye()+K*G)];

Examples

G=ssrand(1,1,3);
K=ssrand(1,1,3);
[Se,Re,Te]=sensi(G,K);
Se1=inv(eye()+G*K);  //Other way to compute
ss2tf(Se)    //Se seen in transfer form
ss2tf(Se1)
ss2tf(Te)
ss2tf(G*K*Se1)
[Si,Ri,Ti]=sensi(G,K,'i');
w1=[ss2tf(Si);ss2tf(Ri);ss2tf(Ti)]
w2=[ss2tf(inv(eye()+K*G));ss2tf(G*inv(eye()+K*G));ss2tf(K*G*inv(eye()+K*G))];
clean(w1-w2)

See also

  • augment — augmented plant
  • lft — linear fractional transformation
  • h_cl — closed loop matrix
Report an issue
<< Time Domain Linear Analysis Linear System Factorization >>

Copyright (c) 2022-2024 (Dassault Systèmes)
Copyright (c) 2017-2022 (ESI Group)
Copyright (c) 2011-2017 (Scilab Enterprises)
Copyright (c) 1989-2012 (INRIA)
Copyright (c) 1989-2007 (ENPC)
with contributors
Last updated:
Thu Oct 24 11:13:08 CEST 2024