5. (20 points) The characteristic polynomial of a feedback control system, which is the denominator of the closed-loop t
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5. (20 points) The characteristic polynomial of a feedback control system, which is the denominator of the closed-loop t
5. (20 points) The characteristic polynomial of a feedback control system, which is the denominator of the closed-loop transfer function, is given by s? +25² +(20K +7)s +100K. Derive the six rules and sketch the root locus for this system when K varies from 0 to 0. Show all steps and mark all critical features in the root locus, i.e., poles, zeros, asymptotes, jw-crossing if any.
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