Question: A system has the form shown with where K = 1. Design a PI controller so that the dominant roots have a damping ratio £

A system has the form shown with

where K = 1. Design a PI controller so that the dominant roots have a damping ratio £ - 0.70. Determine the step response of the system. Predict the effect of a change in K of ±50% on the percent overshoot. Estimate the step response of the worst-case system.

G(s) - s(s +3)(s+)

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