Problem

A closed-loop control system transfer function T(s) has two dominant complex conjugate pol...

A closed-loop control system transfer function T(s) has two dominant complex conjugate poles. Sketch the region in the left-hand s-plane where the complex poles should be located to meet the given specifications.

(a) 0.6 ≤ ζ ≤ 0.8, wn ≤ 10

(b) 0.5 ≤ ζ ≤ 0.707, wn ≥ 10

(c) ζ ≥ 0.5.  5 wn ≤ 10

(d) ζ ≤ 0.707, 5 wn ≤ 10

(e) ζ ≥ 0.6, wn ≤ 6

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