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Which of the following is not true regarding addition of a pole to the forward-path transfer function?
- a)Maximum overshoot of the closed-loop system is increased.
- b)Rise time of the step response is increased.
- c)Stability of the system is increased.
- d)Bandwidth of the system is reduced.
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Which of the following is not true regarding addition of a pole to the...
With addition of a pole to the forward-path transfer function, bandwidth will reduce.
Since
therefore rise time will increase.
Since rise time
therefore stability will decrease.
Since
therefore rise time will increase.Since rise time
therefore stability will decrease.Most Upvoted Answer
Which of the following is not true regarding addition of a pole to the...
Introduction:
In control systems, the addition of a pole to the forward-path transfer function can have various effects on the closed-loop system's performance. This question asks us to identify the statement that is not true regarding this addition.
Explanation:
Let's analyze each option and its impact on the closed-loop system:
a) Maximum overshoot of the closed-loop system is increased:
- When a pole is added to the forward-path transfer function, it typically leads to an increase in the closed-loop system's damping ratio.
- Higher damping ratio reduces the overshoot in the step response of the system.
- Therefore, this statement is not true, as the addition of a pole reduces the maximum overshoot.
b) Rise time of the step response is increased:
- The rise time of the step response is the time taken by the system's output to reach its final value for the first time.
- When a pole is added, it introduces additional dynamics in the system, which can slow down the response.
- As a result, the rise time of the step response is increased.
- This statement is true.
c) Stability of the system is increased:
- Stability refers to the ability of a system to return to its equilibrium state after being subjected to disturbances.
- The addition of a pole to the forward-path transfer function does not directly affect the stability of the system.
- Stability is primarily determined by the location of poles and zeros in the transfer function.
- Therefore, this statement is not true, as the addition of a pole does not necessarily increase the stability of the system.
d) Bandwidth of the system is reduced:
- The bandwidth of a system is the range of frequencies over which the system can effectively operate.
- By adding a pole, the system's dynamics are modified, which can reduce the system's bandwidth.
- This is because the additional pole introduces additional attenuation at higher frequencies.
- Therefore, this statement is true.
Conclusion:
Based on the analysis, the statement that is not true regarding the addition of a pole to the forward-path transfer function is option 'c) Stability of the system is increased.' Adding a pole does not necessarily increase the stability of the system as stability is primarily determined by the location of poles and zeros in the transfer function.
In control systems, the addition of a pole to the forward-path transfer function can have various effects on the closed-loop system's performance. This question asks us to identify the statement that is not true regarding this addition.
Explanation:
Let's analyze each option and its impact on the closed-loop system:
a) Maximum overshoot of the closed-loop system is increased:
- When a pole is added to the forward-path transfer function, it typically leads to an increase in the closed-loop system's damping ratio.
- Higher damping ratio reduces the overshoot in the step response of the system.
- Therefore, this statement is not true, as the addition of a pole reduces the maximum overshoot.
b) Rise time of the step response is increased:
- The rise time of the step response is the time taken by the system's output to reach its final value for the first time.
- When a pole is added, it introduces additional dynamics in the system, which can slow down the response.
- As a result, the rise time of the step response is increased.
- This statement is true.
c) Stability of the system is increased:
- Stability refers to the ability of a system to return to its equilibrium state after being subjected to disturbances.
- The addition of a pole to the forward-path transfer function does not directly affect the stability of the system.
- Stability is primarily determined by the location of poles and zeros in the transfer function.
- Therefore, this statement is not true, as the addition of a pole does not necessarily increase the stability of the system.
d) Bandwidth of the system is reduced:
- The bandwidth of a system is the range of frequencies over which the system can effectively operate.
- By adding a pole, the system's dynamics are modified, which can reduce the system's bandwidth.
- This is because the additional pole introduces additional attenuation at higher frequencies.
- Therefore, this statement is true.
Conclusion:
Based on the analysis, the statement that is not true regarding the addition of a pole to the forward-path transfer function is option 'c) Stability of the system is increased.' Adding a pole does not necessarily increase the stability of the system as stability is primarily determined by the location of poles and zeros in the transfer function.
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Which of the following is not true regarding addition of a pole to the forward-path transfer function?a)Maximum overshoot of the closed-loop system is increased.b)Rise time of the step response is increased.c)Stability of the system is increased.d)Bandwidth of the system is reduced.Correct answer is option 'C'. Can you explain this answer?
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Which of the following is not true regarding addition of a pole to the forward-path transfer function?a)Maximum overshoot of the closed-loop system is increased.b)Rise time of the step response is increased.c)Stability of the system is increased.d)Bandwidth of the system is reduced.Correct 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 Which of the following is not true regarding addition of a pole to the forward-path transfer function?a)Maximum overshoot of the closed-loop system is increased.b)Rise time of the step response is increased.c)Stability of the system is increased.d)Bandwidth of the system is reduced.Correct 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 Which of the following is not true regarding addition of a pole to the forward-path transfer function?a)Maximum overshoot of the closed-loop system is increased.b)Rise time of the step response is increased.c)Stability of the system is increased.d)Bandwidth of the system is reduced.Correct answer is option 'C'. Can you explain this answer?.
Which of the following is not true regarding addition of a pole to the forward-path transfer function?a)Maximum overshoot of the closed-loop system is increased.b)Rise time of the step response is increased.c)Stability of the system is increased.d)Bandwidth of the system is reduced.Correct 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 Which of the following is not true regarding addition of a pole to the forward-path transfer function?a)Maximum overshoot of the closed-loop system is increased.b)Rise time of the step response is increased.c)Stability of the system is increased.d)Bandwidth of the system is reduced.Correct 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 Which of the following is not true regarding addition of a pole to the forward-path transfer function?a)Maximum overshoot of the closed-loop system is increased.b)Rise time of the step response is increased.c)Stability of the system is increased.d)Bandwidth of the system is reduced.Correct answer is option 'C'. Can you explain this answer?.
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