Question: For the feedback system given below. a) Plot the root-locus of the system using Matlab, and determine K (hint use rlocus function). b) Determine

For the feedback system given below. a) Plot the root-locus of the

For the feedback system given below. a) Plot the root-locus of the system using Matlab, and determine K (hint use rlocus function). b) Determine the range of K for stability using Routh Stability Criterion. Choose m-last two digits of your student number. c) If you want the system to have sustained oscillations, which value should you set K equal to? Explain your answer. Show step response of the system using Matlab, and verify the oscillations. R(s) K C(s) s(s+m) s+2

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