Practice Steady-State Error for Different Inputs - 6.3.3 | 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 steady-state error?

πŸ’‘ Hint: Consider its definition in terms of system behavior.

Question 2

Easy

Define Kp in control systems.

πŸ’‘ Hint: Think of it in terms of different inputs.

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 does steady-state error quantify?

  • Difference between input and output
  • Difference between desired and actual output
  • Difference between temporary and permanent output

πŸ’‘ Hint: Think about what happens as time approaches infinity.

Question 2

True or False: The position error constant Kp is used for ramp inputs.

  • True
  • False

πŸ’‘ Hint: Consider which error constants correlate to which input types.

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Challenge Problems

Push your limits with challenges.

Question 1

A control system's stability is compromised if the steady-state error for a ramp input is too high. Discuss how Kp, Kv, and Ka can be modified to optimize the steady-state behavior for various inputs. Provide reasoning for your suggestions.

πŸ’‘ Hint: Consider the relationships between input types and their corresponding error constants.

Question 2

Given a second-order control system with transfer function G(s) = 10/(s^2 + 4s + 10), determine Kp, Kv, and Ka and hence compute the steady-state errors for step, ramp, and parabolic inputs.

πŸ’‘ Hint: Apply limit evaluations for error constants from the transfer function to set the context for steady-state responses.

Challenge and get performance evaluation