Specifications

damp
16-53
16damp
Purpose Compute damping factors and natural frequencies
Syntax [Wn,Z] = damp(sys)
[Wn,Z,P] = damp(sys)
Description damp calculates the damping factor and natural frequencies of the poles of an
LTI model
sys. When invoked without lefthand arguments, a table of the
eigenvalues in increasing frequency, along with their damping factors and
natural frequencies, is displayed on the screen.
[Wn,Z] = damp(sys) returns column vectors Wn and Z containing the natural
frequencies and damping factors of the poles of
sys. For discrete-time
systems with poles and sample time ,
damp computes “equivalent”
continuous-time poles by solving
The values
Wn and Z are then relative to the continuous-time poles . Both Wn
and Z are empty if the sample time is unspecified.
[Wn,Z,P] = damp(sys) returns an additional vector P containing the (true)
poles of
sys.NotethatP returns the same values as pole(sys) (up to
reordering).
Example Compute and display the eigenvalues, natural frequencies, and damping
factors of the continuous transfer function
Type
H = tf([2 5 1],[1 2 3])
Transfer function:
2 s^2 + 5 s + 1
---------------
s^2 + 2 s + 3
Type
ω
n
ζ
zT
s
s
ze
sT
s
=
s
Hs
()
2s
2
5s 1++
s
2
2s 3++
-------------------------------
=