damp

Compute natural frequencies, damping ratios, and poles.

Syntax

[w, z, p] = damp(sys)

Inputs

sys
An LTI system model.

Outputs

w
The natural frequencies.
z
The damping ratios.
p
The poles.

Example

b = [3.09800e+01, 0.00000e+00, 8.81155e+05, 0.00000e+00, 5.98270e+09];
a = [1.00000e+00, 1.15267e+02, 2.22359e+04, 1.76729e+06, 1.20023e+08, 5.98270e+09];
[A,B,C,D] = tf2ss(b,a);
sys = ss(A,B,C,D);
[w,z,p]= damp(sys)
w = [Matrix] 5 x 1
 68.08012
 92.95648
 92.95648
100.84602
100.84602
z = [Matrix] 5 x 1
1.00000
0.22668
0.22668
0.02501
0.02501
p = [Matrix] 5 x 1
-68.08012 +   0.00000i
-21.07125 +  90.53679i
-21.07125 -  90.53679i
 -2.52220 + 100.81448i
 -2.52220 - 100.81448i