1st Order System Example 4

Problem

System model:

Output measurement to unit step input:

Unit step input was applied to a system modeled above. Output signal was measured and plotted. Determine the parameters a and b in the model.

Solution

Transfer function (click here for how feedback block diagram is converted to transfer function):

So

From plot,

So from step response equation,

So 2 equations 2 unknowns:

Solution