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The following (original) system operates with a gain K -10. Design a PD controller in the fornm of K(s +zc) so that the closed-loop compensated system achieves a two-fold reduction in the settling time while maintaining approximately the same %os. K(s +6) Steps: 1) Study the original system and find the dominant pole(s) of the original system. 2) Determine the desired pole locations for the (new) PD-compensated system: 3) Perform PD Controller Design: a) Compute the angle contributed by the PD-zero using Angle Condition: b) Compute zc via geometry: Comput the controude Conditi (Bonus 2 points) Matlab Verification: Plot the step responses of the original and the PD- compensated systems together to verify that all design specifications are satisfied. 4)

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