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 .

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

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The populations also vary periodically.

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

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

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Construct the nonlinear estimator using the computed gains.

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The observer inputs are and .

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

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