Problem 1a: Given the system block diagram below, determine the signal flow graph, overall transfer function, type number of the system, and the steady state error due to unit step and unit ramp inputs.
(a) Draw the signal flow graph for the system.
(b) Determine the overall transfer function.
(c) Determine the type number of the system.
(d) Using the method of system type number as determined from part (c) of the question above, determine:
(1) The steady state error due to unit step input.
(2) The steady state error due to unit ramp input.
R(s)
3
---------
s + 3
2
Y(s) = ------
s + 4
2
------
s + 5