Question: E12.9 A system has the form shown in Figure E12.6 with where K = 1. Design a PD controller such that the dominant closed-loop poles

E12.9 A system has the form shown in Figure E12.6 with

G(s)= K s(s+5)(s+8)'

where = 1. Design a PD controller such that the dominant closed-loop poles possess a damping ratio of ζ = 0.6. Determine the step response of the sys

tem. 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)= K s(s+5)(s+8)'

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