it is control system based multiple choise question .

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Data for questions 64 and 72 A d.c. servo-system is being used to position a radar antenna. Draw the straight-line approximations to the open-loop Bode plot for this system and then answer the following questions 64 ▬ 72, with answers determined from the Bode plot. Use 4-cycle, semi-log graph paper, with 20 mm 10 dB; 30 mm 90°. QUESTION 64 Which one of the following values is the best estimate of the gain cross-over frequency? (1) 1 rad/s (2) 3.6 rad/s (3) 4.5 rad/s (4) 5.1 rad/s (5) 7 rad/s QUESTION 63 The block diagram of a dc servo-system is shown above. The servo-system natural frequency is: (1) √10 rad/s (2) 10 rad/s (3) √10 Hz (4) 10 Hz QUESTION 65 Which one of the following values is the best estimate of the system phase margin? (1) ▬137 degrees (2) ▬47 degrees (3) 43 degrees (4) 47 degrees (5) 137 degrees QUESTION 66 Which one of the following values is the best estimate of the system gain margin? (1) 0 dB (2) 4 dB (3) 20 dB (4) 38 dB (5) Not defined for this system. QUESTION 67 Which one of the following values is the best estimate of the closed-loop system damping ratio? (1) 0.25 (2) 0.43 (3) 0.6 (4) The system is critically damped; therefore damping ratio = 1. (5) The system is over-damped; therefore no estimate can be made of damping ratio. QUESTION 68 The closed-loop system is given a step change in input. Which one of the following values is the best estimate of the system peak time? (1) 0.6 seconds (2) 1 second (3) 2 seconds (4) 4 seconds (5) The system does not overshoot; thus no peak time can be estimated. QUESTION 69 The closed-loop system is given a step change in input. Which one of the following values is the best estimate of the system settling time? (1) 0.7 seconds (2) 1.7 seconds (3) 2.5 seconds (4) 10 seconds (5) Unable to estimate for this overdamped system. QUESTION 70 The closed-loop system is given a step change in input of size 5 degrees. Which one of the following values is the best estimate of the change in steady-state error that would result? (1) 0 (2) 5/7 degrees (3) 7 degrees (4) 25/3 degrees (5) ∞ QUESTION 71 The antenna system is required to track a target (in closed-loop mode). The target angle is changing at the rate of 50 degrees/second. Which one of the following values is the best estimate of the steady-state error of the antenna system whilst tracking this target? (1) 0 (2) 5/7 degrees (3) 7 degrees (4) 25/3 degrees (5) ∞ QUESTION 72 The antenna system is tracking the target of question 71. A requirement of the system is that the steady-state error under these conditions be less than 2 degrees. Which one of the following values is the best estimate of the change in controller gain required to allow the system to just meet this tracking accuracy specification? (1) The system already meets this specification. No change is needed. (2) 2 dB (3) 12.4 dB (4) 28 dB (5) The system cannot be made to meet this specification just by changing the gain. Data for questions 73 and 7 Redraw the Bode plot for the new value of controller gain you have calculated to answer question 72. (** Remember ▬ you will only have to adjust the gain curve, not the phase curve.) Questions 73 to 75 refer to the new Bode plot. QUESTION 73 Which one of the following values is the best estimate of the new gain cross-over frequency? (1) 5 rad/s (2) 10 rad/s (3) 20 rad/s (4) 30 rad/s (5) 60 rad/s QUESTION 74 Which one of the following values is the best estimate of the new phase margin? (1) 30 degrees (2) 40 degrees (3) 60 degrees (4) 120 degrees (5) 150 degrees QUESTION 75 Which one of the following statements best describes the changes that would occur to the step response of the closed-loop system when the controller gain is adjusted to the new value? (1) no changes would occur (2) a slower response with less overshoot (3) a slower response with more overshoot (4) a faster response with less overshoot (5) a faster response with more overshoot
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