Practice Apply Stability Criteria, Including Routh-hurwitz, Nyquist, And Bode Plots (5)

Practice: Apply Stability Criteria, including Routh-Hurwitz, Nyquist, and Bode Plots

Lesson 5Apply Stability Criteria, including Routh-Hurwitz, Nyquist, and Bode Plots

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8 questions

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6 sample questions

Question 1.
What does the Routh-Hurwitz Criterion assess?
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Think about where stable systems have their poles.
Question 2.
What indicates a system is stable in a Nyquist plot?
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Consider the significance of the -1 point.
3Question 3.
What indicates a system's stability in the Routh-Hurwitz Criterion?
- The number of zeros in the Routh array
- Number of sign changes in the first column
- The highest power of s
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Think about how sign changes relate to pole locations.
4Question 4.
True or False: The Nyquist plot must encircle the -1 point for a system to be marginally stable.
- True
- False
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Consider the direction of encirclements.
Question 5.
Analyze the transfer function G(s) = 2/(s^3 + 3s^2 + 5s + 7) using the Routh-Hurwitz criterion. Determine if the system is stable.
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Focus on sign changes in your constructed array.
Question 6.
You have an open-loop transfer function G(s) = K/(s^2 + 4s + 4). Use the Nyquist criterion to assess stability with K increasing.
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Check the influence of K on the plot shape around -1.

4 more questions in this section. Enroll free to practise them all.