Practice Nyquist Criterion (5.3) - Apply Stability Criteria, including Routh-Hurwitz, Nyquist, and Bode Plots
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Nyquist Criterion

Practice - Nyquist Criterion

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Practice Questions

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Question 1 Easy

What does the Nyquist plot visualize?

💡 Hint: Think about how the system responds across different frequencies.

Question 2 Easy

What happens if the Nyquist plot does not encircle -1?

💡 Hint: Consider the implications of having no encirclements.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What indicates a stable system in a Nyquist plot?

Encircles -1 once clockwise
Does not encircle -1
Encircles -1 once counter-clockwise

💡 Hint: Recall the conditions for stability.

Question 2

True or False: A Nyquist plot that circles -1 counter-clockwise indicates instability.

True
False

💡 Hint: Consider the relationship between circling directions and stability.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If G(s) = 5/(s^2 + 2s + 5), calculate G(jω). Plot the Nyquist plot and determine the system's stability.

💡 Hint: Look carefully at how ω affects the plot shape.

Challenge 2 Hard

Analyze G(s) = 3/(s^3 + 3s^2 + 3s + 1) by constructing its Nyquist plot. Explore how varying K affects stability.

💡 Hint: Consider the relationship between K and encirclements around -1.

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