Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Which of the following statements is incorrec...
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Which of the following statements is incorrect?
- a)Lead compensator is used to reduce the settling time.
- b)Lag compensator is used to reduce the steady state error.
- c)Lead compensator may increase the order of a system.
- d)Lag compensator always stabilizes an unstable system.
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Which of the following statements is incorrect?a)Lead compensator is u...
The incorrect statement is option 'D' which states that "Lag compensator always stabilizes an unstable system."
Explanation:
A compensator is a control system component that is added to a system to improve its performance. Compensators are used to modify the transfer function of a system in order to achieve specific control objectives, such as reducing settling time, improving steady-state error, or stabilizing an unstable system.
Lag compensator:
A lag compensator is a type of compensator that is used to improve the steady-state response of a system. It introduces a pole at a frequency lower than the existing poles of the system. This results in a phase lag in the frequency response, which helps to reduce steady-state error. However, a lag compensator does not necessarily stabilize an unstable system. It can improve the performance of a stable system but cannot stabilize an inherently unstable system.
Lead compensator:
A lead compensator is a type of compensator that is used to improve the transient response of a system by reducing the settling time. It introduces a zero at a frequency higher than the existing poles of the system. This results in a phase lead in the frequency response, which helps to reduce the settling time. A lead compensator can increase the order of a system by introducing additional poles and zeros.
Stabilizing an unstable system:
Stabilizing an unstable system requires additional control techniques such as state feedback, pole placement, or observer-based control. A lag compensator alone cannot stabilize an unstable system. It can only improve the performance of a stable system by reducing steady-state error.
Conclusion:
In conclusion, the statement that "Lag compensator always stabilizes an unstable system" is incorrect. A lag compensator is used to reduce steady-state error but does not necessarily stabilize an unstable system. Stabilizing an unstable system requires additional control techniques.
Explanation:
A compensator is a control system component that is added to a system to improve its performance. Compensators are used to modify the transfer function of a system in order to achieve specific control objectives, such as reducing settling time, improving steady-state error, or stabilizing an unstable system.
Lag compensator:
A lag compensator is a type of compensator that is used to improve the steady-state response of a system. It introduces a pole at a frequency lower than the existing poles of the system. This results in a phase lag in the frequency response, which helps to reduce steady-state error. However, a lag compensator does not necessarily stabilize an unstable system. It can improve the performance of a stable system but cannot stabilize an inherently unstable system.
Lead compensator:
A lead compensator is a type of compensator that is used to improve the transient response of a system by reducing the settling time. It introduces a zero at a frequency higher than the existing poles of the system. This results in a phase lead in the frequency response, which helps to reduce the settling time. A lead compensator can increase the order of a system by introducing additional poles and zeros.
Stabilizing an unstable system:
Stabilizing an unstable system requires additional control techniques such as state feedback, pole placement, or observer-based control. A lag compensator alone cannot stabilize an unstable system. It can only improve the performance of a stable system by reducing steady-state error.
Conclusion:
In conclusion, the statement that "Lag compensator always stabilizes an unstable system" is incorrect. A lag compensator is used to reduce steady-state error but does not necessarily stabilize an unstable system. Stabilizing an unstable system requires additional control techniques.
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Community Answer
Which of the following statements is incorrect?a)Lead compensator is u...
Concept:
- Lag Compensation adds a pole at origin (or for low frequencies).
- Lag Compensation to reduce the steady-state error of the system.
- An unstable system is a system that has at least one pole at the right side of the s-plane.
- So, even if we add a lag compensator to an unstable system, it will remain unstable.
Explanation:
If an already unstable system has a CLTP =
If an already unstable system has a CLTP =
After using a lag compensator the CLTP = 
The system is still unstable.
The system is still unstable.
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Which of the following statements is incorrect?a)Lead compensator is used to reduce the settling time.b)Lag compensator is used to reduce the steady state error.c)Lead compensator may increase the order of a system.d)Lag compensator always stabilizes an unstable system.Correct answer is option 'D'. Can you explain this answer?
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