BUILT-IN MATHEMATICA SYMBOL

TransferFunctionZeros

TransferFunctionZeros[tf]
gives a matrix of roots of the numerators in the TransferFunctionModel object tf.

EXAMPLES

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Basic Examples (2)

Compute the zeros for a SISO system:

Zeros for a MIMO system:

Compute the zeros for a SISO system:

In[1]:=

Out[1]=

Zeros for a MIMO system:

In[1]:=

Out[1]=

In[2]:=

Out[2]//MatrixForm=

Scope (4)

The zeros of a SISO system:

The zeros of a MIMO system:

Compute the zeros of a inverted pendulum model:

The zeros of a system with parallel subsystems:

They are different from the zeros of the individual subsystems:

Applications (2)

Compute the zeros of a PID controller:

A function to create pole-zero plots:

Properties & Relations (3)

For SISO systems, the zeros block the transmission of specific input signals:

The steady-state response of the system to Sin

is zero, while the response to Sin

is not:

For a damped second-order system with a minimum-phase zero, the rise time decreases and the overshoot increases as the zero moves away from the poles:

The response of a system with nonminimum-phase zeros starts out in the reverse direction:

A discrete-time, nonminimum-phase system: