f2C21R – IQClab

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, $G_ \mathrm{red}(i\omega_3)= G(i\omega_3)$ ).