Q.4. Consider a unity feedback control system with feed forward :transfer function is .Q.4 G(s) 12(s+2.5) s (s² + 5s +11) A) It is desired to make the damping ratio (5) of the dominant closed-loop poles equal to (0.5) and to increase the undamped natural frequency (w) to (5 rad/sec) and the static velocity error constant to (K, = 60 sec-1). Design an appropriate compensator to meet all the performance specifications.? B) Check the stability of this system with compensator and without it? (

What is a typical value of open-loop, low-frequency gain of an op-arop circuit? How does this compare to the ideal value?

List the characteristics of a good 360-degree feedback system.

what will.happen to the feedback fraction and frequency of oscillation of the circuit when the feedback inductor increases?

a) Obtain the open-loop transfer function. Go to page: 12 he closed-loop transfer function.. c) Find the value of gain and closed-loop poles at the imaginary axis crossing:... d) Write the range of k for which the closed system is stable.......….. e) Write the value of k that makes the system marginally stable:... f) What would be the period of oscillation. g) Find %OS, Tp, Ts, atk = 15. h) Find the steady-state errors when the input is r(t)= 0.62 u(t) step at k=15:.. H(s)G(s): k (s + 7)(s +1-j)(s +1+j)

Question 2: For the Feedback Control system given in the figure. (a) Find the closed-loop transfer function, C(s)/R(s). (b) Determine the system's stability range for gain Kusing Routh-Hurwitz criterion. (c) What is the type of the system? (You need to convert the system to a simple unity feedback.) (d) Sketch the root-locus in Matlab (you need to use the open-loop transfer function with K= 1) and validate the stability region you found in (b). (e) Plot the step response up to 10 seconds for the input of 1.5u(t) and the gain value that makes the system marginally stable. for (f) Find the steady-state error for an input step of 1.5u(t) for K= 22 and plot this response together with the input up to 10 seconds in order to display the steady-state error you computed. (g) Find the steady-state error for an input ramp of 1.5tu(t) for K= 22 and plot this response together with the input up to 10 seconds in order to indicate the steady-state error you computed. R(s) K 1 s(s+2)(s+5) C(s)

Discuss the difference between the Current series negative feddback amplifier and voltage shunt feedback amplifier.

Consider the total harmonic distortion of a closed loop system is 5%. Distortion without feedback is 10%. Calculate the sensitivity of closed loop system.

3.) The block diagram of a feedback control system is shown in the following figure. Sketch the signal flow graph of the system. Explain Mason's gain formula. Obtain Y(s)/R(s) using Mason's gain formula. RIG). 62 G3 Hz. G4H

1) Explain the concept of positive and negative feedback And derive the formula of closed loop voltage gain? Please don't write by hand