Question: AP7.4 A remote manipulator control system has unity feedback and a loop transfer function L(s) = Ge(s)G(s) s+1+a $3 +3as2 +2s We want the percent

AP7.4 A remote manipulator control system has unity feedback and a loop transfer function

L(s) = Ge(s)G(s) s+1+a $3 +3as2 +2s We want the percent overshoot

L(s) = Ge(s)G(s) s+1+a $3 +3as2 +2s We want the percent overshoot for a step input to be less than or equal to 30%. Sketch the root locus as a function of the parameter a. Determine the range of a required for the desired percent overshoot. Locate the roots for the allowable value of a to achieve the required maximum overshoot. Check the actual step responses of the system for various a values.

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