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Consider a closed-loop control system with unity negative feedback and KG(s) in the forward path, where the gain ? = 2. The complete Nyquist plot of the transfer function G(s) is shown in the figure. Note that the Nyquist contour has been chosen to have the clockwise sense. Assume G(s) has no poles on the closed right-half of the complex plane. The number of poles of the closed-loop transfer function in the closed right-half of the complex plane is
  • a)
    1
  • b)
    3
  • c)
    2
  • d)
    0
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Consider a closed-loop control system with unity negative feedback an...
Given closed loop control system is shown below,
Nyquist plot of G(s) is shown below,
Given, G(s) has no poles in the right half of s – plane i.e. P = 0 .
Modified closed loop control system is shown below,
Modified open loop transfer function is KG(s)
K = 2 (given)
The Nyquist plot for K = 2 is,
Number of anticlockwise encirclement about critical point (-1+ j0)
N = -2
Number of right hand poles of open loop transfer function P = 0 .
Nyquist stability criteria is given by,
N = P- Z (A.C.W.)
-2 = 0 - Z
Z = 2
Hence, the number of closed loop poles in the right half of complex plane is 2.
Hence, the correct option is (C).
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Community Answer
Consider a closed-loop control system with unity negative feedback an...
Given closed loop control system is shown below,
Nyquist plot of G(s) is shown below,
Given, G(s) has no poles in the right half of s – plane i.e. P = 0 .
Modified closed loop control system is shown below,
Modified open loop transfer function is KG(s)
K = 2 (given)
The Nyquist plot for K = 2 is,
Number of anticlockwise encirclement about critical point (-1+ j0)
N = -2
Number of right hand poles of open loop transfer function P = 0 .
Nyquist stability criteria is given by,
N = P- Z (A.C.W.)
-2 = 0 - Z
Z = 2
Hence, the number of closed loop poles in the right half of complex plane is 2.
Hence, the correct option is (C).
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Consider a closed-loop control system with unity negative feedback and KG(s) in the forward path, where the gain ? = 2. The complete Nyquist plot of the transfer function G(s) is shown in the figure. Note that the Nyquist contour has been chosen to have the clockwise sense. Assume G(s) has no poles on the closed right-half of the complex plane. The number of poles of the closed-loop transfer function in the closed right-half of the complex plane isa)1b)3c)2d)0Correct answer is option 'C'. Can you explain this answer?
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Consider a closed-loop control system with unity negative feedback and KG(s) in the forward path, where the gain ? = 2. The complete Nyquist plot of the transfer function G(s) is shown in the figure. Note that the Nyquist contour has been chosen to have the clockwise sense. Assume G(s) has no poles on the closed right-half of the complex plane. The number of poles of the closed-loop transfer function in the closed right-half of the complex plane isa)1b)3c)2d)0Correct answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Consider a closed-loop control system with unity negative feedback and KG(s) in the forward path, where the gain ? = 2. The complete Nyquist plot of the transfer function G(s) is shown in the figure. Note that the Nyquist contour has been chosen to have the clockwise sense. Assume G(s) has no poles on the closed right-half of the complex plane. The number of poles of the closed-loop transfer function in the closed right-half of the complex plane isa)1b)3c)2d)0Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a closed-loop control system with unity negative feedback and KG(s) in the forward path, where the gain ? = 2. The complete Nyquist plot of the transfer function G(s) is shown in the figure. Note that the Nyquist contour has been chosen to have the clockwise sense. Assume G(s) has no poles on the closed right-half of the complex plane. The number of poles of the closed-loop transfer function in the closed right-half of the complex plane isa)1b)3c)2d)0Correct answer is option 'C'. Can you explain this answer?.
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