Problem 5. Root Locus: Open loop transfer function for a system is given as L(s) = k 6(s+8/3)(s+100) 100s(s - 2) a) Plot the root locus for L. b) What is minimum value of k for this system to become stable? (Hint: First, approximate L at low frequencies, i.e., w << 100 rad/sec) c) What is maximum value of k for this system to become unstable?

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Problem 5. Root Locus: Open loop transfer function for a system is given as
L(s) = k-
6(s + 8/3)(s + 100)
100s(s – 2)
a) Plot the root locus for L.
b) What is minimum value of k for this system to become stable? (Hint: First, approximate L at low
frequencies, i.e., w << 100 rad/sec)
c) What is maximum value of k for this system to become unstable?
d) What are 4 GM and ↑ GM?
Transcribed Image Text:Problem 5. Root Locus: Open loop transfer function for a system is given as L(s) = k- 6(s + 8/3)(s + 100) 100s(s – 2) a) Plot the root locus for L. b) What is minimum value of k for this system to become stable? (Hint: First, approximate L at low frequencies, i.e., w << 100 rad/sec) c) What is maximum value of k for this system to become unstable? d) What are 4 GM and ↑ GM?
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