Practice Conclusion (5.6) - Apply Stability Criteria, including Routh-Hurwitz, Nyquist, and Bode Plots
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Conclusion

Practice - Conclusion

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Practice Questions

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Question 1 Easy

What does the Routh-Hurwitz Criterion help determine?

💡 Hint: Recall the relationship between pole position and stability.

Question 2 Easy

What two plots are involved in a Bode Plot?

💡 Hint: Think of how each plot helps us understand system behavior.

4 more questions available

Interactive Quizzes

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Question 1

What does the Routh-Hurwitz Criterion assess?

Pole positions
Frequency response
Phase margin

💡 Hint: Focus on what the criterion is analyzing.

Question 2

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

True
False

💡 Hint: Think about the role of feedback in stability.

2 more questions available

Challenge Problems

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Challenge 1 Hard

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

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

Challenge 2 Hard

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

💡 Hint: Focus on the behavior around critical points, particularly -1.

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