Design a PID Room Temperature Controller

Design a PID controller that maintains room temperature near 22 °C even with fluctuations of the outside temperature, modeled as a disturbance.

Enter the models:

In[1]:=

In[2]:=

In[3]:=

Obtain the controller:

In[4]:=

The disturbance to output transfer function:

In[5]:=

Out[5]=

Get the outside temperature history for a particular location:

In[11]:=

In[12]:=

The temperature as a continuous function of time:

In[13]:=

In[15]:=

Compute the regulated room temperature and sample it every minute:

In[16]:=

In[17]:=

Plot the room temperature and the outside temperature:

In[18]:=

In[19]:=

In[20]:=

Out[20]=