Excercise 2: Ideal PID controllers. Consider the systems represented by the block diagrams below r ki/s ki/s Σ у P(s) kp Σ Σ) P(s) kp Σ kas kas Controller -1 -1 Controller Assume that the plant has the transfer function P(s) = b/(s + a) (a) Show that the transfer functions from r to y are bk4s2 bkpsbki (1bkd)s2(a + bkp)s + bki Gyr(s) bki Gyr(s) (1 bkd)s2(a +bkp)s+ bki (b) Pick the parameters: b = 1, a 5, kd = 2, ki = 4, and kp = 3, and compare the step responses of the systems. What are the main differences between the two PID controllers?

This is a part of a review I'm studying, NOT a graded assignment, please do not reject. Thank you!   For the four (4) control systems represented by block diagrams shown in the Figure below. Draw thecorresponding signal flow graph (SFG) for each one, then use Mason's rule to obtain thecorresponding system transfer function.

Please see the attached picture :  H1 is a P + I controller with PB = 50 % with integral time  is 100 seconds. H2 is a first order process with Gain K = 1 and time constant is 100 seconds. Calculate the open-loop transfer function,Please ? Calculate the closed loop transfer function,Please ? Prove that there is no Error during Steady State,Please ?

SFG