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Find the number of poles in the right-half plane (RHP) for the system as shown. Is the system stable?
- a)2 RHP poles; System is unstable
- b)2 RHP poles; System is stable
- c)3 RHP poles; System is unstable
- d)3 RHP poles; System is stable
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Find the number of poles in the right-half plane (RHP) for the system ...
Concept:
The characteristic equation for a given open-loop transfer function G(s) is
1 + G(s) H(s) = 0
According to the Routh tabulation method,
The system is said to be stable if there are no sign changes in the first column of the Routh array
The number of poles lie on the right half of s plane = number of sign changes
Calculation:
Characteristic equation:
⇒ 2s5 + 3s4 + 2s3 + 3s2 + 2s + 1 = 0
By applying Routh tabulation method,
As ε is very small value, (3 – 4/ε) is a negative value and hence there are two sign changes.
Therefore, the number of right-half poles = 2
The system is unstable.
The characteristic equation for a given open-loop transfer function G(s) is
1 + G(s) H(s) = 0
According to the Routh tabulation method,
The system is said to be stable if there are no sign changes in the first column of the Routh array
The number of poles lie on the right half of s plane = number of sign changes
Calculation:
Characteristic equation:
⇒ 2s5 + 3s4 + 2s3 + 3s2 + 2s + 1 = 0
By applying Routh tabulation method,
As ε is very small value, (3 – 4/ε) is a negative value and hence there are two sign changes.
Therefore, the number of right-half poles = 2
The system is unstable.
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Community Answer
Find the number of poles in the right-half plane (RHP) for the system ...
Concept:
The characteristic equation for a given open-loop transfer function G(s) is
1 + G(s) H(s) = 0
According to the Routh tabulation method,
The system is said to be stable if there are no sign changes in the first column of the Routh array
The number of poles lie on the right half of s plane = number of sign changes
Calculation:
Characteristic equation:
⇒ 2s5 + 3s4 + 2s3 + 3s2 + 2s + 1 = 0
By applying Routh tabulation method,
As ε is very small value, (3 – 4/ε) is a negative value and hence there are two sign changes.
Therefore, the number of right-half poles = 2
The system is unstable.
The characteristic equation for a given open-loop transfer function G(s) is
1 + G(s) H(s) = 0
According to the Routh tabulation method,
The system is said to be stable if there are no sign changes in the first column of the Routh array
The number of poles lie on the right half of s plane = number of sign changes
Calculation:
Characteristic equation:
⇒ 2s5 + 3s4 + 2s3 + 3s2 + 2s + 1 = 0
By applying Routh tabulation method,
As ε is very small value, (3 – 4/ε) is a negative value and hence there are two sign changes.
Therefore, the number of right-half poles = 2
The system is unstable.
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Find the number of poles in the right-half plane (RHP) for the system as shown. Is the system stable?a)2 RHP poles; System is unstableb)2 RHP poles; System is stablec)3 RHP poles; System is unstabled)3 RHP poles; System is stableCorrect answer is option 'A'. Can you explain this answer?
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Find the number of poles in the right-half plane (RHP) for the system as shown. Is the system stable?a)2 RHP poles; System is unstableb)2 RHP poles; System is stablec)3 RHP poles; System is unstabled)3 RHP poles; System is stableCorrect answer is option 'A'. 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 Find the number of poles in the right-half plane (RHP) for the system as shown. Is the system stable?a)2 RHP poles; System is unstableb)2 RHP poles; System is stablec)3 RHP poles; System is unstabled)3 RHP poles; System is stableCorrect answer is option 'A'. 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 Find the number of poles in the right-half plane (RHP) for the system as shown. Is the system stable?a)2 RHP poles; System is unstableb)2 RHP poles; System is stablec)3 RHP poles; System is unstabled)3 RHP poles; System is stableCorrect answer is option 'A'. Can you explain this answer?.
Find the number of poles in the right-half plane (RHP) for the system as shown. Is the system stable?a)2 RHP poles; System is unstableb)2 RHP poles; System is stablec)3 RHP poles; System is unstabled)3 RHP poles; System is stableCorrect answer is option 'A'. 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 Find the number of poles in the right-half plane (RHP) for the system as shown. Is the system stable?a)2 RHP poles; System is unstableb)2 RHP poles; System is stablec)3 RHP poles; System is unstabled)3 RHP poles; System is stableCorrect answer is option 'A'. 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 Find the number of poles in the right-half plane (RHP) for the system as shown. Is the system stable?a)2 RHP poles; System is unstableb)2 RHP poles; System is stablec)3 RHP poles; System is unstabled)3 RHP poles; System is stableCorrect answer is option 'A'. Can you explain this answer?.
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