Transfer Functions and Time Response

Transfer Functions and Time Response - Applications

Q. In a PID controller, what does the 'D' stand for?

Solution

The 'D' in PID stands for Derivative, which predicts future error based on its rate of change.

Correct Answer: B — Derivative

Q. What is the effect of increasing the gain in a proportional controller?

Solution

Increasing the gain in a proportional controller can lead to decreased stability and potential oscillations.

Correct Answer: B — Decreases stability

Q. What is the root locus technique used for?

Solution

Root locus is a graphical method used to analyze and design control systems, focusing on stability and controller design.

Correct Answer: D — All of the above

Q. What is the time constant of a second-order system with a damping ratio of 0.5 and natural frequency of 2 rad/s?

Solution

The time constant for a second-order system can be approximated as 1/(damping ratio * natural frequency), which is 1/(0.5 * 2) = 1.

Correct Answer: B — 1

Q. What is the transfer function of a first-order system with a time constant of 5 seconds?

Solution

The standard form of a first-order transfer function is 1/(Ts + 1), where T is the time constant. Here, T = 5.

Correct Answer: A — 1/(5s + 1)

Q. Which controller is typically used to eliminate steady-state error in a system?

Solution

An integral controller is used to eliminate steady-state error by integrating the error over time.

Correct Answer: B — Integral controller

Q. Which controller is used to eliminate steady-state error in a system?

Solution

An integral controller is specifically designed to eliminate steady-state error by integrating the error over time.

Correct Answer: B — Integral controller

Q. Which of the following is NOT a characteristic of a closed-loop control system?

Solution

Open-loop control is not a characteristic of closed-loop systems, which rely on feedback to adjust control actions.

Correct Answer: C — Open-loop control

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