Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > Consider the following statements: The der...
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Consider the following statements:
The derivative control improves the overshoots of a given system.
The derivative control reduces steady-state error.
Integral control reduced state-state error.
Integral control does not affect stability.
Of these statements:
- a)1 and 3 are correct
- b)1 and 2 are correct
- c)2 and 4 are correct
- d)2 and 3 are correct
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Consider the following statements: The derivative control improves ...
Integral Controller behaves like a LPF and we know that LPF reduces the steady state error while Derivative Controller behaves like HPF which improves the overshoots of system.
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Consider the following statements: The derivative control improves ...
The correct answer is option A: 1 and 3 are correct.
Explanation:
Derivative Control:
Derivative control is a feedback control strategy that uses the rate of change of error to adjust the control signal. It is denoted as the time derivative of the error, de/dt.
- The derivative control improves the overshoots of a given system:
- When a system responds to a sudden change in the input, it may exhibit overshoot, which is the temporary increase in the output before settling down to the desired value.
- By using the derivative control, the rate of change of error is taken into account, which helps dampen the system's response and reduce overshoot. Therefore, statement 1 is correct.
- The derivative control does not reduce steady-state error:
- Steady-state error refers to the error that exists between the desired output and the actual output when the system reaches a stable state.
- The derivative control does not directly affect the steady-state error. It primarily focuses on the rate of change of the error, which helps improve transient response and reduce overshoot. Therefore, statement 2 is incorrect.
Integral Control:
Integral control is a feedback control strategy that uses the accumulated error over time to adjust the control signal. It is denoted as the integral of the error, ∫e(t)dt.
- Integral control reduces steady-state error:
- As mentioned earlier, steady-state error is the difference between the desired output and the actual output when the system is in a stable state.
- The integral control accumulates the error over time and continuously adjusts the control signal to minimize the steady-state error. Therefore, statement 3 is correct.
- Integral control affects stability:
- Stability refers to the ability of a system to return to a stable state after being subjected to disturbances.
- The integral control can introduce instability if not properly tuned. If the integral gain is set too high, it can cause the system to become oscillatory or even divergent. Therefore, statement 4 is incorrect.
In summary, the correct statements are:
1. The derivative control improves the overshoots of a given system.
3. Integral control reduces steady-state error.
Hence, the correct answer is option A: 1 and 3 are correct.
Explanation:
Derivative Control:
Derivative control is a feedback control strategy that uses the rate of change of error to adjust the control signal. It is denoted as the time derivative of the error, de/dt.
- The derivative control improves the overshoots of a given system:
- When a system responds to a sudden change in the input, it may exhibit overshoot, which is the temporary increase in the output before settling down to the desired value.
- By using the derivative control, the rate of change of error is taken into account, which helps dampen the system's response and reduce overshoot. Therefore, statement 1 is correct.
- The derivative control does not reduce steady-state error:
- Steady-state error refers to the error that exists between the desired output and the actual output when the system reaches a stable state.
- The derivative control does not directly affect the steady-state error. It primarily focuses on the rate of change of the error, which helps improve transient response and reduce overshoot. Therefore, statement 2 is incorrect.
Integral Control:
Integral control is a feedback control strategy that uses the accumulated error over time to adjust the control signal. It is denoted as the integral of the error, ∫e(t)dt.
- Integral control reduces steady-state error:
- As mentioned earlier, steady-state error is the difference between the desired output and the actual output when the system is in a stable state.
- The integral control accumulates the error over time and continuously adjusts the control signal to minimize the steady-state error. Therefore, statement 3 is correct.
- Integral control affects stability:
- Stability refers to the ability of a system to return to a stable state after being subjected to disturbances.
- The integral control can introduce instability if not properly tuned. If the integral gain is set too high, it can cause the system to become oscillatory or even divergent. Therefore, statement 4 is incorrect.
In summary, the correct statements are:
1. The derivative control improves the overshoots of a given system.
3. Integral control reduces steady-state error.
Hence, the correct answer is option A: 1 and 3 are correct.
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