Construct a Nonlinear Estimator 

Construct a nonlinear estimator using a predator-prey model to estimate the snowshoe hare population based on the lynx population. »

The input to the model is and the output is .

In[1]:=
Click for copyable input
X
In[2]:=
Click for copyable input
X

The values of the initial population and a periodically varying food supply.

In[3]:=
Click for copyable input
X

The populations also vary periodically.

In[4]:=
Click for copyable input
X
Out[4]=

This limit-cycle behavior can also be seen on a parametric plot.

In[5]:=
Click for copyable input
X
Out[5]=

Compute a set of estimator gains based on the linearized model.

In[6]:=
Click for copyable input
X
Out[6]=

Construct the nonlinear estimator using the computed gains.

In[7]:=
Click for copyable input
X
Out[7]=

The observer inputs are and .

In[8]:=
Click for copyable input
X
Out[8]=

After initial transients, the estimated value converges to the actual one.

In[9]:=
Click for copyable input
X
Out[9]=