Here is a block diagram for a control system.  It is required that the output be within 3% of the input in steady state.

• You need to predict how the output of the system behaves when the input is a unit step.  The unit step is being used as a test input.
• Your result should be a plot of the response, y(t).
• You should be able to give numerical values for important points on the plot.

• The transfer function of the plant being controlled - shown as G(s) in the diagram - is:
• G(s) = 1/(s + .5)
• The gain of the controller - shown as K in the diagram - is adjustable to any positive value you need.