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The complete Nyquist plot of the open-loop transfer function G(s) H(s) of a feedback control system is shown in the figure.
If G(s) H(s) has one zero in the right-half of the s-plane. the number of poles that the closed-loop system will have in the right-half of the s-plane is
If G(s) H(s) has one zero in the right-half of the s-plane. the number of poles that the closed-loop system will have in the right-half of the s-plane is
- a)3
- b)1
- c)0
- d)2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The complete Nyquist plot of the open-loop transfer function G(s) H(s)...
We will observe the encirclement around the origin: (for open loop transfer function → G(s)H(s)= 0 )
N = P - Z
where,
P = the no. of open-loop poles lie in the right half of plane
Z = the no. of closed-loop poles or open-loop zeros lie in the right half of plane
N = no. of encirclement about (-1 + j0) in G(S) H(S) plane
OR,
no. of encirclement about the origin in 1 + G(S) H(S) plane.
Given;
Z = 1 (for open loop system)
N = 2 (at the origin in ACW direction)
then
2 = P - 1
∴ P = 3
For the analysis of closed loop system:
observe the encirclement around the (-1 , j0) [∵ 1 + GH = 0 → GH = -1]
N = 0
P = 3
Then,
N = P - Z
Z= P - N
∴ Z= 3 - 0 = 3
There are 3 poles in the right half-plane.
Most Upvoted Answer
The complete Nyquist plot of the open-loop transfer function G(s) H(s)...
We will observe the encirclement around the origin: (for open loop transfer function → G(s)H(s)= 0 )
N = P - Z
where,
P = the no. of open-loop poles lie in the right half of plane
Z = the no. of closed-loop poles or open-loop zeros lie in the right half of plane
N = no. of encirclement about (-1 + j0) in G(S) H(S) plane
OR,
no. of encirclement about the origin in 1 + G(S) H(S) plane.
Given;
Z = 1 (for open loop system)
N = 2 (at the origin in ACW direction)
then
2 = P - 1
∴ P = 3
For the analysis of closed loop system:
observe the encirclement around the (-1 , j0) [∵ 1 + GH = 0 → GH = -1]
N = 0
P = 3
Then,
N = P - Z
Z= P - N
∴ Z= 3 - 0 = 3
There are 3 poles in the right half-plane.
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The complete Nyquist plot of the open-loop transfer function G(s) H(s) of a feedback control system is shown in the figure.If G(s) H(s) has one zero in the right-half of the s-plane. the number of poles that the closed-loop system will have in the right-half of the s-plane isa)3b)1c)0d)2Correct answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The complete Nyquist plot of the open-loop transfer function G(s) H(s) of a feedback control system is shown in the figure.If G(s) H(s) has one zero in the right-half of the s-plane. the number of poles that the closed-loop system will have in the right-half of the s-plane isa)3b)1c)0d)2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The complete Nyquist plot of the open-loop transfer function G(s) H(s) of a feedback control system is shown in the figure.If G(s) H(s) has one zero in the right-half of the s-plane. the number of poles that the closed-loop system will have in the right-half of the s-plane isa)3b)1c)0d)2Correct answer is option 'A'. Can you explain this answer?.
The complete Nyquist plot of the open-loop transfer function G(s) H(s) of a feedback control system is shown in the figure.If G(s) H(s) has one zero in the right-half of the s-plane. the number of poles that the closed-loop system will have in the right-half of the s-plane isa)3b)1c)0d)2Correct answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The complete Nyquist plot of the open-loop transfer function G(s) H(s) of a feedback control system is shown in the figure.If G(s) H(s) has one zero in the right-half of the s-plane. the number of poles that the closed-loop system will have in the right-half of the s-plane isa)3b)1c)0d)2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The complete Nyquist plot of the open-loop transfer function G(s) H(s) of a feedback control system is shown in the figure.If G(s) H(s) has one zero in the right-half of the s-plane. the number of poles that the closed-loop system will have in the right-half of the s-plane isa)3b)1c)0d)2Correct answer is option 'A'. Can you explain this answer?.
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