Find the equation for the steady-state output (π¦π π ) for the
following system with a step input (π(π )=1/π ). Find the
steady-state values when πΎ_{π}=48.Plot the system (use
ltiview in MATLAB). Include the MATLAB commands used and a copy of
the plot.

Simulate the πΎπ = 48 system in Simulink with MATLAB with a unit
step input with a picture of the model and results from the Scope
(make sure to scale the results of the Scope).

Add an integrator to the system so the controller has the form πΎπ(1
+1/π ) and use a unit step

input. Provide a picture of the Simulink model and the results from
the Scope.

Finally add a derivative to your model so the controller has the
form πΎπ(1 +1/π + π ). Provide a picture of the

Simulink model and the results from the Scope.

How does the response of each system compare to each other qualitatively in terms of rise time, overshoot, damping, steady-state value, etc.?

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