WOLFRAM LANGUAGE FEATURED EXAMPLE

Control an RLC Circuit Modeled as a Descriptor System

This resistor-inductor-capacitor circuit can easily be modeled from the component equations using a descriptor state-space model.

In[47]:=
Click for copyable input
In[49]:=
Click for copyable input
Out[49]=
In[50]:=
Click for copyable input
Out[50]=
The magnitude response of the system should be reduced at the utility frequency:
In[51]:=
Click for copyable input
In[52]:=
Click for copyable input
Out[53]=
Find a controller to place the closed-loop poles at symbolic locations:
In[54]:=
Click for copyable input
Find the responses when the poles are moved away from the origin along each axis:
In[56]:=
Click for copyable input
Out[56]=
In[57]:=
Click for copyable input
Moving the poles either further to the left or away from the real axis decreases the magnitude response:
In[59]:=
Click for copyable input
Out[59]=