Practice Parabolic Input - 6.3.4.3 | 6. Analyze System Responses in Transient and Steady-State Conditions | Control Systems
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the steady-state error for a parabolic input when Ka = 4?

πŸ’‘ Hint: Use the formula e_ss = 1/Ka.

Question 2

Easy

Define what Ka represents.

πŸ’‘ Hint: Think about what happens when Ka increases or decreases.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the formula for steady-state error for a parabolic input?

πŸ’‘ Hint: Remember the relationship between system constants and output error.

Question 2

True or False: A smaller Ka leads to a larger steady-state error.

  • True
  • False

πŸ’‘ Hint: Consider how Ka affects tracking performance.

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Challenge Problems

Push your limits with challenges.

Question 1

If a control system has an acceleration error constant Ka = 15, determine the steady-state error and analyze the system’s performance implications.

πŸ’‘ Hint: Consider the benefits of reducing Ka for even lower errors.

Question 2

A system designed for parabolic input currently has Ka = 2. What strategies could be used to improve its error constant and reduce steady-state error?

πŸ’‘ Hint: Reflect on common engineering practices within control system design.

Challenge and get performance evaluation