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Which of the following is the correct comment on stability based on unknown k for the feedback system with characteristic s4 + 2ks3 + s2 + 5s + 5 = 0?
- a)Unstable for all the values of k
- b)Stable for zero value of k
- c)Stable for positive value of k
- d)Stable for all the values of k
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Which of the following is the correct comment on stability based on un...
Explanation:
Characteristics of the given system:
- The characteristic equation of the system is s^4 + 2ks^3 + s^2 + 5s + 5 = 0.
Stability Analysis:
- The stability of a system is determined by the location of the roots of the characteristic equation in the complex plane.
- For a system to be stable, all the roots of the characteristic equation should have negative real parts.
Analysis of the given characteristic equation:
- By observing the given characteristic equation, we see that the coefficients are all positive.
- The system will have at least one root with a positive real part for any non-zero value of k.
Conclusion:
- Therefore, the system is unstable for all values of k.
- Option 'A' is the correct comment on stability based on unknown k for the feedback system with the given characteristic equation.
Characteristics of the given system:
- The characteristic equation of the system is s^4 + 2ks^3 + s^2 + 5s + 5 = 0.
Stability Analysis:
- The stability of a system is determined by the location of the roots of the characteristic equation in the complex plane.
- For a system to be stable, all the roots of the characteristic equation should have negative real parts.
Analysis of the given characteristic equation:
- By observing the given characteristic equation, we see that the coefficients are all positive.
- The system will have at least one root with a positive real part for any non-zero value of k.
Conclusion:
- Therefore, the system is unstable for all values of k.
- Option 'A' is the correct comment on stability based on unknown k for the feedback system with the given characteristic equation.
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Community Answer
Which of the following is the correct comment on stability based on un...
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 Routh array
The number of poles lie on the right half of s plane = number of sign changes
Calculation:
Characteristic equation: s4 + 2ks3 + s2 + 5s + 5 = 0
By applying the Routh tabulation method,
The system to become stable, the sign changes in the first column of Routh table must be zero.
⇒ k > 2.5
For all the values of 
gives negative values.
gives negative values.Therefore, the given system is unstable for all the values of k.
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Which of the following is the correct comment on stability based on unknown k for the feedback system with characteristic s4+ 2ks3+ s2+ 5s + 5 = 0?a)Unstable for all the values of kb)Stable for zero value of kc)Stable for positive value of kd)Stable for all the values of kCorrect answer is option 'A'. Can you explain this answer?
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Which of the following is the correct comment on stability based on unknown k for the feedback system with characteristic s4+ 2ks3+ s2+ 5s + 5 = 0?a)Unstable for all the values of kb)Stable for zero value of kc)Stable for positive value of kd)Stable for all the values of kCorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Which of the following is the correct comment on stability based on unknown k for the feedback system with characteristic s4+ 2ks3+ s2+ 5s + 5 = 0?a)Unstable for all the values of kb)Stable for zero value of kc)Stable for positive value of kd)Stable for all the values of kCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is the correct comment on stability based on unknown k for the feedback system with characteristic s4+ 2ks3+ s2+ 5s + 5 = 0?a)Unstable for all the values of kb)Stable for zero value of kc)Stable for positive value of kd)Stable for all the values of kCorrect answer is option 'A'. Can you explain this answer?.
Which of the following is the correct comment on stability based on unknown k for the feedback system with characteristic s4+ 2ks3+ s2+ 5s + 5 = 0?a)Unstable for all the values of kb)Stable for zero value of kc)Stable for positive value of kd)Stable for all the values of kCorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Which of the following is the correct comment on stability based on unknown k for the feedback system with characteristic s4+ 2ks3+ s2+ 5s + 5 = 0?a)Unstable for all the values of kb)Stable for zero value of kc)Stable for positive value of kd)Stable for all the values of kCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is the correct comment on stability based on unknown k for the feedback system with characteristic s4+ 2ks3+ s2+ 5s + 5 = 0?a)Unstable for all the values of kb)Stable for zero value of kc)Stable for positive value of kd)Stable for all the values of kCorrect answer is option 'A'. Can you explain this answer?.
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Which of the following is the correct comment on stability based on unknown k for the feedback system with characteristic s4+ 2ks3+ s2+ 5s + 5 = 0?a)Unstable for all the values of kb)Stable for zero value of kc)Stable for positive value of kd)Stable for all the values of kCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Which of the following is the correct comment on stability based on unknown k for the feedback system with characteristic s4+ 2ks3+ s2+ 5s + 5 = 0?a)Unstable for all the values of kb)Stable for zero value of kc)Stable for positive value of kd)Stable for all the values of kCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Which of the following is the correct comment on stability based on unknown k for the feedback system with characteristic s4+ 2ks3+ s2+ 5s + 5 = 0?a)Unstable for all the values of kb)Stable for zero value of kc)Stable for positive value of kd)Stable for all the values of kCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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