Practice Conclusion - 5.6 | 5. Apply Stability Criteria, including Routh-Hurwitz, Nyquist, and Bode Plots | Control Systems
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the Routh-Hurwitz Criterion help determine?

πŸ’‘ Hint: Recall the relationship between pole position and stability.

Question 2

Easy

What two plots are involved in a Bode Plot?

πŸ’‘ Hint: Think of how each plot helps us understand system behavior.

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Interactive Quizzes

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

Question 1

What does the Routh-Hurwitz Criterion assess?

  • Pole positions
  • Frequency response
  • Phase margin

πŸ’‘ Hint: Focus on what the criterion is analyzing.

Question 2

True or False: The Nyquist Criterion applies exclusively to open-loop systems.

  • True
  • False

πŸ’‘ Hint: Think about the role of feedback in stability.

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Challenge Problems

Push your limits with challenges.

Question 1

Analyze the stability of a system characterized by the characteristic polynomial s^3 + 5s^2 + 6s + 0. Use Routh-Hurwitz criteria.

πŸ’‘ Hint: Break down the characteristic polynomial, set up the Routh array step-by-step.

Question 2

Construct a Nyquist plot for the feedback transfer function G(s) = K / (s^2 + 2s + 2). Determine the stability through plot analysis.

πŸ’‘ Hint: Focus on the behavior around critical points, particularly -1.

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