TransferFunctionPoles

TransferFunctionPoles[tfm]

gives a matrix of roots of the denominators in the TransferFunctionModel tfm.

TransferFunctionPoles[tfm,reg]

only gives the roots inside the region reg on the complex plane.

Details

  • A rectangular region reg can be given as {{remin,remax},{immin,immax}}.
  • The default region is the entire complex plane.

Examples

open allclose all

Basic Examples  (3)

The poles of a notch filter:

In[1]:=
Click for copyable input
Out[1]=

The poles for specific values of damping ratio and natural frequency:

In[2]:=
Click for copyable input
Out[2]=

The poles of a MIMO system are the poles of the elements of the transfer function:

In[1]:=
Click for copyable input
Out[1]=

Time-delay systems may have an infinite number of poles:

In[1]:=
Click for copyable input
Out[1]=

But they always have a finite number of poles in a bounded region:

In[2]:=
Click for copyable input
Out[2]=

Scope  (5)

Applications  (2)

Properties & Relations  (4)

Possible Issues  (1)

See Also

Eigenvalues  TransferFunctionZeros  TransferFunctionCancel  StateFeedbackGains

Introduced in 2010
(8.0)
| Updated in 2012
(9.0)