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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 assess?
💡 Hint: Think about where stable systems have their poles.
Question 2
Easy
What indicates a system is stable in a Nyquist plot?
💡 Hint: Consider the significance of the -1 point.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
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
💡 Hint: Think about how sign changes relate to pole locations.
Question 2
True or False: The Nyquist plot must encircle the -1 point for a system to be marginally stable.
- True
- False
💡 Hint: Consider the direction of encirclements.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation