In exactly the same fashion as fSmooth, the function f2C21R allows to:

  • replace a complex pole or zero pair with one real pole or zero respectively;
  • replace two real poles or zeros in close proximity with one real pole or zero respectively.

The operation proceeds by specifying G_\mathrm{red}=f2C21R(G,\omega), where G is the original model and \omega is a 1\times 3 vector, where the first two entries, \omega_1 and \omega_2 respectively, specify the frequency band in which the operation should be carried out, while the third entry, \omega_3 specifies the frequency at which the reduced order model should match its gain with the original system (i,e, G_ \mathrm{red}(i\omega_3)= G(i\omega_3)).

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