Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > A single-input single-output feedback system ...
Start Learning for Free
A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function H(s). It is given that |G(s)H(s)| < 1. Which of the following is true about the stability of the system?
- a)The system is always stable
- b)The system is stable if all zeros of G(s)H(s) are in left half of the s-plane
- c)The system is stable if all poles of G(s)H(s) are in left half of the s-plane
- d)It is not possible to say whether or not the system is stable from the information given
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A single-input single-output feedback system has forward transfer func...
Concept:
D(s) = 1 + G(s)H(s)
D(s) = 1 + G(s)H(s)
D(s) gives the roots of characteristic equation i.e. closed-loop poles.
Nyquist stability criteria state that the number of unstable closed-loop poles is equal to the number of unstable open-loop poles plus the number of encirclements of the origin of the Nyquist plot of the complex function D(s).
It can be slightly simplified if instead of plotting the function D(s) = 1 + G(s)H(s), we plot only the function G(s)H(s) around the point and count encirclement of the Nyquist plot of around the point (-1, j0).
From the principal of argument theorem, the number of encirclements about (-1, j0) is
N = P - Z
Where
Where P = Number of open-loop poles on the right half of s plane
Z = Number of closed-loop poles on the right half of s plane
Calculation:
For the given system, we have |G(s)H(s)| < 1
So, we may easily conclude that the Nyquist-plot intersect the negative real axis between 0 and -1 point, i.e. the Nyquist plot does not enclose the point (-1, 0) or in other words number of encirclements is zero.
⇒ N = 0
For a stable closed loop system, we must have Z = 0.
To get Z = 0, from the Nyquist criteria, P must be equal to zero.
Therefore, the system is stable if all poles of G(s)H(s) are in left half of the s-plane.
Free Test
FREE
| Start Free Test |
Community Answer
A single-input single-output feedback system has forward transfer func...
Explanation:
Feedback System Stability Criteria:
In a feedback system, stability can be determined by analyzing the poles of the closed-loop transfer function. If all the poles of the closed-loop transfer function have negative real parts, then the system is stable.
Given Information:
The given condition |G(s)H(s)| < 1="" implies="" that="" the="" loop="" gain="" of="" the="" system="" is="" less="" than="" 1.="" this="" is="" a="" necessary="" but="" not="" a="" sufficient="" condition="" for="" />
Analysis:
To determine the stability of the system, we need to analyze the poles of the closed-loop transfer function G(s)H(s). If all the poles of G(s)H(s) are in the left half of the s-plane (i.e., have negative real parts), then the system is stable. This is because the poles of G(s)H(s) determine the stability of the closed-loop system.
Conclusion:
Therefore, the correct statement is option 'c) The system is stable if all poles of G(s)H(s) are in the left half of the s-plane'. This condition ensures that the system is stable based on the location of the poles of the closed-loop transfer function.
Feedback System Stability Criteria:
In a feedback system, stability can be determined by analyzing the poles of the closed-loop transfer function. If all the poles of the closed-loop transfer function have negative real parts, then the system is stable.
Given Information:
The given condition |G(s)H(s)| < 1="" implies="" that="" the="" loop="" gain="" of="" the="" system="" is="" less="" than="" 1.="" this="" is="" a="" necessary="" but="" not="" a="" sufficient="" condition="" for="" />
Analysis:
To determine the stability of the system, we need to analyze the poles of the closed-loop transfer function G(s)H(s). If all the poles of G(s)H(s) are in the left half of the s-plane (i.e., have negative real parts), then the system is stable. This is because the poles of G(s)H(s) determine the stability of the closed-loop system.
Conclusion:
Therefore, the correct statement is option 'c) The system is stable if all poles of G(s)H(s) are in the left half of the s-plane'. This condition ensures that the system is stable based on the location of the poles of the closed-loop transfer function.
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function H(s). It is given that |G(s)H(s)| < 1. Which of the following is true about the stability of the system?a)The system is always stableb)The system is stable if all zeros of G(s)H(s) are in left half of the s-planec)The system is stable if all poles of G(s)H(s) are in left half of the s-planed)It is not possible to say whether or not the system is stable from the information givenCorrect answer is option 'C'. Can you explain this answer?
Question Description
A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function H(s). It is given that |G(s)H(s)| < 1. Which of the following is true about the stability of the system?a)The system is always stableb)The system is stable if all zeros of G(s)H(s) are in left half of the s-planec)The system is stable if all poles of G(s)H(s) are in left half of the s-planed)It is not possible to say whether or not the system is stable from the information givenCorrect answer is option 'C'. 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 A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function H(s). It is given that |G(s)H(s)| < 1. Which of the following is true about the stability of the system?a)The system is always stableb)The system is stable if all zeros of G(s)H(s) are in left half of the s-planec)The system is stable if all poles of G(s)H(s) are in left half of the s-planed)It is not possible to say whether or not the system is stable from the information givenCorrect answer is option 'C'. 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 A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function H(s). It is given that |G(s)H(s)| < 1. Which of the following is true about the stability of the system?a)The system is always stableb)The system is stable if all zeros of G(s)H(s) are in left half of the s-planec)The system is stable if all poles of G(s)H(s) are in left half of the s-planed)It is not possible to say whether or not the system is stable from the information givenCorrect answer is option 'C'. Can you explain this answer?.
A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function H(s). It is given that |G(s)H(s)| < 1. Which of the following is true about the stability of the system?a)The system is always stableb)The system is stable if all zeros of G(s)H(s) are in left half of the s-planec)The system is stable if all poles of G(s)H(s) are in left half of the s-planed)It is not possible to say whether or not the system is stable from the information givenCorrect answer is option 'C'. 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 A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function H(s). It is given that |G(s)H(s)| < 1. Which of the following is true about the stability of the system?a)The system is always stableb)The system is stable if all zeros of G(s)H(s) are in left half of the s-planec)The system is stable if all poles of G(s)H(s) are in left half of the s-planed)It is not possible to say whether or not the system is stable from the information givenCorrect answer is option 'C'. 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 A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function H(s). It is given that |G(s)H(s)| < 1. Which of the following is true about the stability of the system?a)The system is always stableb)The system is stable if all zeros of G(s)H(s) are in left half of the s-planec)The system is stable if all poles of G(s)H(s) are in left half of the s-planed)It is not possible to say whether or not the system is stable from the information givenCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function H(s). It is given that |G(s)H(s)| < 1. Which of the following is true about the stability of the system?a)The system is always stableb)The system is stable if all zeros of G(s)H(s) are in left half of the s-planec)The system is stable if all poles of G(s)H(s) are in left half of the s-planed)It is not possible to say whether or not the system is stable from the information givenCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function H(s). It is given that |G(s)H(s)| < 1. Which of the following is true about the stability of the system?a)The system is always stableb)The system is stable if all zeros of G(s)H(s) are in left half of the s-planec)The system is stable if all poles of G(s)H(s) are in left half of the s-planed)It is not possible to say whether or not the system is stable from the information givenCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function H(s). It is given that |G(s)H(s)| < 1. Which of the following is true about the stability of the system?a)The system is always stableb)The system is stable if all zeros of G(s)H(s) are in left half of the s-planec)The system is stable if all poles of G(s)H(s) are in left half of the s-planed)It is not possible to say whether or not the system is stable from the information givenCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function H(s). It is given that |G(s)H(s)| < 1. Which of the following is true about the stability of the system?a)The system is always stableb)The system is stable if all zeros of G(s)H(s) are in left half of the s-planec)The system is stable if all poles of G(s)H(s) are in left half of the s-planed)It is not possible to say whether or not the system is stable from the information givenCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function H(s). It is given that |G(s)H(s)| < 1. Which of the following is true about the stability of the system?a)The system is always stableb)The system is stable if all zeros of G(s)H(s) are in left half of the s-planec)The system is stable if all poles of G(s)H(s) are in left half of the s-planed)It is not possible to say whether or not the system is stable from the information givenCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function H(s). It is given that |G(s)H(s)| < 1. Which of the following is true about the stability of the system?a)The system is always stableb)The system is stable if all zeros of G(s)H(s) are in left half of the s-planec)The system is stable if all poles of G(s)H(s) are in left half of the s-planed)It is not possible to say whether or not the system is stable from the information givenCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup