Practice Ramp input - 6.3.3.1 | 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

Define steady-state error in control systems.

πŸ’‘ Hint: Think about what happens when a system stabilizes.

Question 2

Easy

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

πŸ’‘ Hint: Recall how Kv is defined and its role in the equation.

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 steady-state error for a ramp input defined as?

  • e_{ss} = Kp
  • e_{ss} = 1/Kv
  • e_{ss} = Kv

πŸ’‘ Hint: Think about the dependency on the error constant for ramp inputs.

Question 2

True or False: Increasing Kp always decreases steady-state error for a step input.

  • True
  • False

πŸ’‘ Hint: Consider how changes in Kp adjust the output accuracy.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A control system has Kp = 15, Kv = 0, and Ka = 5. Calculate the steady-state errors for all three input types: step, ramp, and parabolic.

πŸ’‘ Hint: Remember that Kv affects the steady-state error for ramp inputs directly.

Question 2

If a system achieves Kp = 30 and Kv = 25, what will be the comparative steady-state error for step inputs vs. ramp inputs?

πŸ’‘ Hint: Analyze how each error constant affects the outcomes for various inputs.

Challenge and get performance evaluation