No.

Model process

Transfer function

Expressions for calculation the model object’s parameters

1

Transfer function with inertia second order and time delay

$H\left(s\right)=\frac{k{\text{e}}^{-\tau s}}{\left(T_{1}s+1\right)\left(T_{2}s+1\right)}$

$a_0=\frac{a_2+k_{cr}k\cos \tau {\omega }_n}{{\omega }_n^2}$ ;

$a_1=\frac{k_{cr}k\sin \tau {\omega }_n}{{\omega }_n}$ ; $a_2=1$ .

2

Transfer function with inertia second order and astatism

$H\left(s\right)=\frac{k}{s\left(T_{1}s+1\right)\left(T_{2}s+1\right)}$

$a_0=\frac{1}{{\omega }_n^2}$ ; $a_1=\frac{k_{cr}k}{{\omega }_n^2}$ ; $a_2=1$ .

3

Transfer function with inertia second order, astatism and time delay.

$H\left(s\right)=\frac{k{\text{e}}^{-\tau s}}{s\left(T_{1}s+1\right)\left(T_{2}s+1\right)}$

$a_0=\frac{a_2{\omega }_n-k_{cr}k\sin \tau {\omega }_n}{{\omega }_n^3}$ ;

$a_1=\frac{k_{cr}k\cos \tau {\omega }_n}{{\omega }_n^2}$ ; $a_2=1$ .