Practice - Apply Stability Criteria, including Routh-Hurwitz, Nyquist, and Bode Plots
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Practice Questions
Test your understanding with targeted questions
What does the Routh-Hurwitz Criterion assess?
💡 Hint: Think about where stable systems have their poles.
What indicates a system is stable in a Nyquist plot?
💡 Hint: Consider the significance of the -1 point.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What indicates a system's stability in the Routh-Hurwitz Criterion?
💡 Hint: Think about how sign changes relate to pole locations.
True or False: The Nyquist plot must encircle the -1 point for a system to be marginally stable.
💡 Hint: Consider the direction of encirclements.
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Challenge Problems
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Analyze the transfer function G(s) = 2/(s^3 + 3s^2 + 5s + 7) using the Routh-Hurwitz criterion. Determine if the system is stable.
💡 Hint: Focus on sign changes in your constructed array.
You have an open-loop transfer function G(s) = K/(s^2 + 4s + 4). Use the Nyquist criterion to assess stability with K increasing.
💡 Hint: Check the influence of K on the plot shape around -1.
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