Practice Root Locus Method (8.1) - Control Theory and Systems - Mechatronics, Robotics and Control
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Root Locus Method

Practice - Root Locus Method

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the Root Locus Method analyze?

💡 Hint: Think of how the stability is assessed.

Question 2 Easy

Where should the poles be located for stability?

💡 Hint: Consider the real axis positions.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Root Locus Method help to analyze?

Effect of gain on system response
Cost of the system
Input-output relationships

💡 Hint: Focus on what aspects of the system changes with gain.

Question 2

True or False: All poles should be on the right half-plane for stability.

True
False

💡 Hint: Recall where poles need to be for a stable system.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the system transfer function G(s)=1/(s^2 + 3s + 5), determine the poles and analyze their stability.

💡 Hint: Use the quadratic formula to find the poles, then assess their real parts.

Challenge 2 Hard

During a design project, the increase in gain from K=1 to K=10 has caused pole movement toward the right half-plane. Discuss the implications of this shift concerning stability.

💡 Hint: Reflect on how pole position is directly related to system behavior.

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Reference links

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