In Example 10.8.3 the steady-state error for a unit-ramp

Chapter , Problem 11.58

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In Example 10.8.3 the steady-state error for a unit-ramp command is \(-4 / K_I\). For the gains computed in that example, this error is 1/1000. We want to see if we can make this error smaller by increasing \(K_I\). Using the values given for \(K_P\) and \(K_D\) in that example, obtain a root locus plot with \(K_I\) as the variable. Discuss what happens to the damping ratio and time constant of the dominant root as \(K_I\) is increased.

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