Consider a simple first-order system given below
C(s)/R(s) = K/(s+a)
From a laboratory testing, the response for a unit ramp function is presented in the picture below, c(t).
Assuming zero initial conditions.
a. Obtain the expression for the time constant of the system.
b. Find the value of a.
c. Find the value of the constant K.
d. Find the steady state error.