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Consider the following statements:
1. Lead compensator increases the bandwidth of the system.
2. Lag compensator suppresses steady-state performance.
3. Lead compensator improves the dynamic response and provides faster response.
4. Lag compensator acts as a low-pass filter.
Of these above statements, which of the following are true?
  • a)
    1 and 2
  • b)
    1, 2, and 3
  • c)
    1, 2, and 4
  • d)
    3 and 4
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Consider the following statements:1. Lead compensator increases the ba...
Lead Compensator:
- A lead compensator is a type of controller used in control systems engineering to improve the dynamic response and stability of a system.
- It introduces a zero and a pole in the transfer function of the system, which helps in improving the phase margin and reducing the settling time.
- The zero introduced by the lead compensator increases the bandwidth of the system, allowing it to respond to higher frequency inputs.
- Therefore, statement 1 is true.

Lag Compensator:
- A lag compensator is another type of controller used in control systems engineering.
- It introduces a pole and a zero in the transfer function of the system, which helps in improving the steady-state performance and stability of the system.
- The pole introduced by the lag compensator reduces the bandwidth of the system, acting as a low-pass filter.
- Therefore, statement 4 is true.

Steady-State Performance:
- Steady-state performance refers to the behavior of a system after it has reached a stable operating point.
- In the context of control systems, it typically refers to how well the system tracks a desired reference signal or rejects disturbances in the steady state.
- The lag compensator is designed to improve the steady-state performance by increasing the steady-state error and reducing the overshoot.
- Therefore, statement 2 is true.

Dynamic Response:
- Dynamic response refers to the behavior of a system during transient conditions, such as when it is subjected to a step input or a disturbance.
- The lead compensator is designed to improve the dynamic response of the system by increasing the phase margin and reducing the settling time.
- It provides a faster response by introducing a zero that boosts the high-frequency gain of the system.
- Therefore, statement 3 is true.

Conclusion:
- Based on the explanations above, statements 1, 2, and 4 are true.
- Therefore, the correct answer is option C: 1, 2, and 4.
Free Test
Community Answer
Consider the following statements:1. Lead compensator increases the ba...
Lag compensator does not suppress steady state performance. Instead, it improves steady state performance.
Hence, the correct answer is an option (c).
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Consider the following statements:1. Lead compensator increases the bandwidth of the system.2. Lag compensator suppresses steady-state performance.3. Lead compensator improves the dynamic response and provides faster response.4. Lag compensator acts as a low-pass filter.Of these above statements, which of the following are true?a)1 and 2b)1, 2, and 3c)1, 2, and 4d)3 and 4Correct answer is option 'C'. Can you explain this answer?
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