Q.2) For the below unity feedback system shown in figure a, M(s) is added (as shown in figure b) to make an error at the steady-state to be zero, if you know that the input R(s) is a a- Unit step b- Unit ramp c- Unit-parabolic Evaluate M(s) which perform the mentioned function? G(s) C(s) R(s) G(s) M(s) C(s) R(s) (а) (b)
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Q: Ex. 450. G(s)=k/(s(s+ 2)(s+ 5)) is the FTF of a unity-feedback closed-loop system. Sketch the root…
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- A unity-feedback system has forward transfer function (see attached). a) Sketch the root locus for this system as K varies from 0 to ∞; b) Use the Routh-Hurwitz test to determine the range of K for the system to be stable; show this value of K on the root locus plot.An uncompensated unity feedback system with certain deficiencies has no zeroes and poles at -1, -2 and -5. Answer the following questions based on the above description of the system Determine using an apt technique, the gain of the system at damping ratio 0.45A unity feedback system with forward transfer function below G(s) = K/(s(s+6)).is operating with a closed-loop step response that has 15% overshoot. Please solve for the following:a. Evaluate the settling time. b. Evaluate the steady-state error for a unit ramp input. c. Design a lag-lead compensator to decrease the settling time by 2 times and decrease the steady-state error for a unit ramp input by 10 times. Place the lead zero at -3.
- The unit in the figure below is given as G (s) in feedback system. When a unit ramp is applied to the input of the system, the steady-state error is 0.4% and when the unit step is applied to the input, the settlement time is desired to be 50 ms. So which of the following is a pole value of the closed-loop transfer function? G(s)=k/s(s+a)(Q1)An uncompensated unity feedback system with certain deficiencies has no zeroes and poles at -1, -2 and -5. Answer the following questions based on the above description of the system Determine using an apt technique, the gain of the system at damping ratio 0.45 Include a series compensator to the uncompensated system with zero at -0.0111 and pole at -0.01.The margins of stability for K = 12 of the unit feedback system shown in the figure are given below. Phase crossover frequency : Wfc = 2rad/s Gain crossover frequency: wgc = 1.4rad/s Phase Margin = 16.8 degree Amplitude Margin Kg = 6dB (NOTE: Use 3 decimal places in your operations.) a) Calculate the amplitude margin for K 60. b) Calculate the point where the KG(jw) Nyquist Diagram intersects the negative real axis for K 60.
- For the open-loop system G(s) = 3/s^2 + 2s - 3 assume there is a feedback with a proportional gain, K. And sketch a locus of closed-loop rootsverse K. What is the minimum value of K to achievea stable system?Since G(s) is the transfer function of the system, draw the root locus of the closed-loop system with negative unit feedback below, clearly stating each step. (Root locus plots drawn using any program such as Matlab etc. will not be considered)Below is given the forward transfer function of a unity-feedback system.a) Determine the position, velocity, and acceleration error constants Kp, Kv, and Ka and the steady-state error for step, ramp, and parabolic inputs;b) If possible, use a proportional controller to give a steady-state error for ramp input of e_ss(ramp) ≤ 0.01; c) Determine the controller necessary to give zero steady-state error for a ramp input;d) Determine the controller necessary to give zero steady-state error for aparabolic input.
- For a unity-feedback system with G(s) = K / s(s + 20)(s + 40) operating with a 20% overshoot, design a compensator to decrease the settling time by a factor of 2 without affecting the percent overshoot:i. Find the uncompensated system's dominant poles, gain, and settling time. ii. Find the compensated system's dominant poles and settling time. iii. Find the compensator's pole position and required gain. (Assume the compensator’s zero is at -20).Given a unity feedback system with G (s) =K/ s (s+4). What is the value of K for a damping ratio of 0.5?Find the desired values below in the feedback amplifier circuit in the figure. a) Find the no-load voltage gain in the amplifier circuit when the Rf resistor is open circuit. b) Voltage and current in amplifier circuit when Rf resistor is open circuit and RL resistor is present Find your earnings. c) When the Rf feedback resistor is connected, the Rf value that makes the feedback current gain Ai/3 find it. Indicate the assumptions you take in your transactions.