Q. In a PID controller, which component is responsible for predicting future errors?
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A.
Proportional
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B.
Integral
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C.
Derivative
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D.
All of the above
Solution
The derivative component of a PID controller predicts future errors based on the rate of change of the error.
Correct Answer:
C
— Derivative
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Q. What is the purpose of the root locus technique?
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A.
To find the frequency response
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B.
To analyze system stability
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C.
To design PID controllers
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D.
To determine time response
Solution
Root locus is a graphical method used to analyze how the roots of a system change with varying feedback gain, which helps in assessing stability.
Correct Answer:
B
— To analyze system stability
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Q. What is the steady-state response of a first-order system to a step input?
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A.
Exponential decay
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B.
Linear growth
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C.
Constant value
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D.
Oscillatory response
Solution
The steady-state response of a first-order system to a step input is a constant value, equal to the final value of the step input.
Correct Answer:
C
— Constant value
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Q. What is the time constant of a system with a transfer function G(s) = 1/(2s + 1)?
Solution
The time constant T of a first-order system is the coefficient of s in the denominator. Here, T = 1/2 = 2.
Correct Answer:
C
— 2
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Q. Which controller is best suited for eliminating steady-state error in a system?
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A.
Proportional controller
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B.
Integral controller
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C.
Derivative controller
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D.
PID controller
Solution
An integral controller is specifically designed to eliminate steady-state error by integrating the error over time.
Correct Answer:
B
— Integral controller
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