(Solution) - The feedback system shown in Figure AP7 13 has two unknown -(2025 Original AI-Free Solution)

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The feedback system shown in Figure AP7.13 has two unknown parameters K1 and K2. The process transfer function is unstable. Sketch the root locus for 0 ? K1, K2 < ?. What is the fastest settling time that you would expect of the closed-loop system in response to a unit step input R(s) = 1/s? Explain.
Figure AP7.13
An unstable plant with two parameters K1 and K2.