Underdamped Response Parameters Quiz

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Which chapter is devoted to the analysis of system transient response?

Chapter 5

Chapter 3

Chapter 2

Chapter 4 (correct)

What does the order of a system refer to?

The order of the denominator of the transfer function after cancellation of common factors in the numerator

The number of simultaneous first-order equations required for the state-space representation

The order of the numerator of the transfer function

The order of the equivalent differential equation representing the system (correct)

What are the two responses that make up the output response of a system?

Step response and impulse response

Forced response and natural response (correct)

State response and output response

Transient response and steady-state response

Why does Chapter 4 come before Chapter 5 in the book?

To demonstrate applications of the system representation by evaluating the transient response from the system model Signup and view all the answers

What are the poles of a transfer function?

The values of s that cause the transfer function to become infinite Signup and view all the answers

What are the zeros of a transfer function?

The values of s that cause the transfer function to become zero Signup and view all the answers

What does a pole of the input function generate?

The form of the forced response Signup and view all the answers

What is the time constant of a response?

The time for e^at to decay to 37% of its initial value Signup and view all the answers

Which of the following is the definition of rise time?

The time for the waveform to go from 0.1 to 0.9 of its final value Signup and view all the answers

What is settling time defined as?

The time for the waveform to reach 2% of its final value Signup and view all the answers

What is the transfer function used to calculate the unit step response of a second-order system?

$C(s) = R(s)G(s)$ Signup and view all the answers

What is the term used to describe a second-order system response with two real poles and no zeros?

Overdamped Signup and view all the answers

Which of the following best describes the time constant of the exponential decay in a second-order system?

It is equal to the reciprocal of the real part of the system pole Signup and view all the answers

What is the damped frequency of oscillation in an underdamped response?

It is equal to the imaginary part of the poles Signup and view all the answers

What type of response is characterized by a transient response that is a damped oscillation?

Underdamped response Signup and view all the answers

What is the characteristic of a critically damped response?

It is the fastest possible response without overshoot Signup and view all the answers

Which parameter is defined as the time required for the waveform to go from 0.1 of the final value to 0.9 of the final value?

Rise time Signup and view all the answers

Which parameter is defined as the time required to reach the first, or maximum, peak?

Peak time Signup and view all the answers

Which parameter is defined as the amount that the waveform overshoots the steady-state value at the peak time, expressed as a percentage of the steady-state value?

Percent overshoot Signup and view all the answers

Which parameter is defined as the time required for the transient’s damped oscillations to reach and stay within 2% of the steady-state value?

Settling time Signup and view all the answers

Which part of the response remains the same as the poles move to the left?

The frequency Signup and view all the answers

What remains the same for all waveforms in Figure 4.19(c)?

The peak time Signup and view all the answers

What is the relationship between the pole location and the response speed?

The farther the poles are from the origin, the faster the response Signup and view all the answers

What does the percent overshoot remain the same for?

Different waveforms Signup and view all the answers

What is the main focus of the second example?

Design Signup and view all the answers

What does the order of a system refer to?

The number of poles Signup and view all the answers

Which two parameters are associated with second-order systems?

Natural frequency and damping ratio Signup and view all the answers

What is the definition of the damping ratio, ζ?

The ratio of the exponential decay frequency to the natural frequency Signup and view all the answers

What is the relationship between the value of ζ and the type of response obtained?

The lower the value of ζ, the more oscillatory the response Signup and view all the answers

What is the transform of the response, C(s), for the general second-order system of Eq. (4.22) in terms of ζ and ωn?

$C(s) = \frac{\omega_{n}^{2} \cdot (s + \zeta \cdot \omega_{n})},{(s - \zeta \cdot \omega_{n})^2 + \omega_{n}^{2} \cdot (1 - \zeta^2)}$ Signup and view all the answers

Underdamped Response Parameters Quiz

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Questions and Answers

Which chapter is devoted to the analysis of system transient response?

What does the order of a system refer to?

What are the two responses that make up the output response of a system?

Why does Chapter 4 come before Chapter 5 in the book?

What are the poles of a transfer function?

What are the zeros of a transfer function?

What does a pole of the input function generate?

What is the time constant of a response?

Which of the following is the definition of rise time?

What is settling time defined as?

What is the transfer function used to calculate the unit step response of a second-order system?

What is the term used to describe a second-order system response with two real poles and no zeros?

Which of the following best describes the time constant of the exponential decay in a second-order system?

What is the damped frequency of oscillation in an underdamped response?

What type of response is characterized by a transient response that is a damped oscillation?

What is the characteristic of a critically damped response?

Which parameter is defined as the time required for the waveform to go from 0.1 of the final value to 0.9 of the final value?

Which parameter is defined as the time required to reach the first, or maximum, peak?

Which parameter is defined as the amount that the waveform overshoots the steady-state value at the peak time, expressed as a percentage of the steady-state value?

Which parameter is defined as the time required for the transient’s damped oscillations to reach and stay within 2% of the steady-state value?

Which part of the response remains the same as the poles move to the left?

What remains the same for all waveforms in Figure 4.19(c)?

What is the relationship between the pole location and the response speed?

What does the percent overshoot remain the same for?

What is the main focus of the second example?

What does the order of a system refer to?

Which two parameters are associated with second-order systems?

What is the definition of the damping ratio, ζ?

What is the relationship between the value of ζ and the type of response obtained?

What is the transform of the response, C(s), for the general second-order system of Eq. (4.22) in terms of ζ and ωn?

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