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Question 3 Consider the system shown in Figure 1. Here, G(s)...
Problem 1: Consider the block functional diagram of the satellite attitude control system shown in Figure...
Problem 1: Consider the block functional diagram of the satellite attitude control system shown in Figure (a), here below. The output of this system exhibits continued oscillations and is not desirable. This system can be improved by using a tachometer feedback. Ki, as shown in Figure (b). Assuming that = 4, using block diagram algebra and theory of time performance specifications for second order systems, please, compute: (1) the value of the gain K such that closed loop transfer function...
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the...
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the closed loop transfer function TF(s) γ(s) R(s) What are the poles and zeros of TF1(s)? [2 marks] b) For TF(s), calculate the DC gain, natural frequency and damping ratio. Classify TF1(s) as underdamped overdamped, critically damped or undamped [3 marks] c) Use the initial value theorem and final value theorem to determine the initial value (Mo) and final value (M) of the [2 marks]...
Please provide a step-by-step solution to the problem above, I'm struggling in this course - Auto...
Please provide a step-by-step solution to the problem above, I'm
struggling in this course - Automatic Controls
1. A unity feedback system with controller gain K has a forward transfer function K s(s+ 5% + 120) G(s) = 50 ︵-100 E-150 2-200 -250 90 O-135 a, -180 -225 -270 0 10 10 10 10 Frequency (rad/sec) Figure 1: Frequency Response Plot 1 Using frequency response techniques, determine the value of K to obtain a closed-loop step response with 20% overshoot...
Question 5 or a unity feedback system in Figure 4 C(s) (s+40%s +100) Figure 4 a) Find the value o...
Question 5 or a unity feedback system in Figure 4 C(s) (s+40%s +100) Figure 4 a) Find the value of gain, K, to yield a closed-loop response with 20% overshoot when the system is under a step input. Check the system stability at this gain value (use either Nyquist criterion or Margins). Assume the system is under a unity step input. Use Simulink to obtain and compare the time responses with and without gain adjustment and discuss how the response...
13. Consider the unity feedback system of Figure P11.1 with G(s) s(s+5s 20) The uncompensated sys...
13. Consider the unity feedback system of Figure P11.1 with G(s) s(s+5s 20) The uncompensated system has about 55% overshoot and a peak time of 0.5 second when K 10. Do the following: [Section: 11.4] . Use frequency response methods to design a lead compensator to reduce the percent overshoot to 10%, while keeping the peak time and steady-state error about the same or less. Make any required second-order approximations. b. Use MATLAB or any other computer MATLAB ML program...
steps R(s) E(s) C(s) G(s) FIGURE P9.1 FIGURE P9.2 9. Consider the unity feedback system shown...
steps
R(s) E(s) C(s) G(s) FIGURE P9.1 FIGURE P9.2 9. Consider the unity feedback system shown in Figure P9.1 with [Section: 9.3] K G(s) (s+4)3 a. Find the location of the dominant poles to yield a 1.6 second settling time and an overshoot of 25%. b. If a compensator with a zero at -1 is used to achieve the conditions of Part a, what must the angular contribution of the compensator pole be? c. Find the location of the compensator...
Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s).
1 Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s). Determine the phase margin, gain-crossover frequency, gain margin and phase-crossover frequency, (Sketch the bode diagram by hand) 2 Consider the system shown as below. Use MATLAB to draw a bode diagram of the open-loop transfer function G(s). Show the gain-crossover frequency and phase-crossover frequency in the Bode diagram and determine the phase margin and gain margin. 3. Consider the system shown as below. Design a...
66. The system shown in Figure P6.16 has G (s) = 1/s(s+2) (s + 4). Find...
66. The system shown in Figure P6.16 has G (s) = 1/s(s+2) (s + 4). Find the following: R(s) + E() K G,G) KES FIGURE P6.16 a. The value of K, for which the inner loop will have two equal negative real poles and the associated range of K, for system stability. b. The value of K, at which the system oscillates and the associated frequency of oscillation. c. The gain Ki at which a real closed-loop pole is at...
SS10. The unity-feedback system of Figure P11.1 with K (s +4) G (s) (s 2) (s 5) (s +12) is operat...
SS10. The unity-feedback system of Figure P11.1 with K (s +4) G (s) (s 2) (s 5) (s +12) is operating with 20% overshoot. [Section: 114] a. Find the settling time. b. Find Kp c. Find the phase margin and the phase-margin frequency d. Using frequency response techniques, design a compensator that will yield a threefold improvement in Kp and a twofold reduction in settling time while keeping the overshoot at 20%.
SS10. The unity-feedback system of Figure P11.1 with...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s)- s(s+3(s6) Design a lag compensation to meet the following specifications The step response settling time is to be less than 5 sec. . The step response overshoot is to be less than 17% . The steady-state error to a unit ramp input must not exceed 10%. Dynamic specifications (overshoot and settling time) can be met using proportional feedback, but a lag compensator is needed...
Problem 1: Consider the block functional diagram of the satellite attitude control system shown in Figure (a), here below. The output of this system exhibits continued oscillations and is not desirable. This system can be improved by using a tachometer feedback. Ki, as shown in Figure (b). Assuming that = 4, using block diagram algebra and theory of time performance specifications for second order systems, please, compute: (1) the value of the gain K such that closed loop transfer function...
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the closed loop transfer function TF(s) γ(s) R(s) What are the poles and zeros of TF1(s)? [2 marks] b) For TF(s), calculate the DC gain, natural frequency and damping ratio. Classify TF1(s) as underdamped overdamped, critically damped or undamped [3 marks] c) Use the initial value theorem and final value theorem to determine the initial value (Mo) and final value (M) of the [2 marks]...
Please provide a step-by-step solution to the problem above, I'm
struggling in this course - Automatic Controls
1. A unity feedback system with controller gain K has a forward transfer function K s(s+ 5% + 120) G(s) = 50 ︵-100 E-150 2-200 -250 90 O-135 a, -180 -225 -270 0 10 10 10 10 Frequency (rad/sec) Figure 1: Frequency Response Plot 1 Using frequency response techniques, determine the value of K to obtain a closed-loop step response with 20% overshoot...
Question 5 or a unity feedback system in Figure 4 C(s) (s+40%s +100) Figure 4 a) Find the value of gain, K, to yield a closed-loop response with 20% overshoot when the system is under a step input. Check the system stability at this gain value (use either Nyquist criterion or Margins). Assume the system is under a unity step input. Use Simulink to obtain and compare the time responses with and without gain adjustment and discuss how the response...
13. Consider the unity feedback system of Figure P11.1 with G(s) s(s+5s 20) The uncompensated system has about 55% overshoot and a peak time of 0.5 second when K 10. Do the following: [Section: 11.4] . Use frequency response methods to design a lead compensator to reduce the percent overshoot to 10%, while keeping the peak time and steady-state error about the same or less. Make any required second-order approximations. b. Use MATLAB or any other computer MATLAB ML program...
steps
R(s) E(s) C(s) G(s) FIGURE P9.1 FIGURE P9.2 9. Consider the unity feedback system shown in Figure P9.1 with [Section: 9.3] K G(s) (s+4)3 a. Find the location of the dominant poles to yield a 1.6 second settling time and an overshoot of 25%. b. If a compensator with a zero at -1 is used to achieve the conditions of Part a, what must the angular contribution of the compensator pole be? c. Find the location of the compensator...
66. The system shown in Figure P6.16 has G (s) = 1/s(s+2) (s + 4). Find the following: R(s) + E() K G,G) KES FIGURE P6.16 a. The value of K, for which the inner loop will have two equal negative real poles and the associated range of K, for system stability. b. The value of K, at which the system oscillates and the associated frequency of oscillation. c. The gain Ki at which a real closed-loop pole is at...
SS10. The unity-feedback system of Figure P11.1 with K (s +4) G (s) (s 2) (s 5) (s +12) is operating with 20% overshoot. [Section: 114] a. Find the settling time. b. Find Kp c. Find the phase margin and the phase-margin frequency d. Using frequency response techniques, design a compensator that will yield a threefold improvement in Kp and a twofold reduction in settling time while keeping the overshoot at 20%.
SS10. The unity-feedback system of Figure P11.1 with...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s)- s(s+3(s6) Design a lag compensation to meet the following specifications The step response settling time is to be less than 5 sec. . The step response overshoot is to be less than 17% . The steady-state error to a unit ramp input must not exceed 10%. Dynamic specifications (overshoot and settling time) can be met using proportional feedback, but a lag compensator is needed...
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