The fuel control for an automobile uses a diesel pump that is subject to parameter variations. A

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The fuel control for an automobile uses a diesel pump that is subject to parameter variations. A unity negative feedback has a loop transfer function
K(s + 2) (5 + 1)(s + 2.5)(s + 4)(s + 10) G(s)G(s)- %3D

(a) Sketch the root locus as K varies from 0 to 2000.
(b) Find the roots for K equal to 400, 500, and 600.
(c) Predict how the percent overshoot to a step will vary for the gain K, assuming dominant roots.
(d) Find the actual time response for a step input for all three gains and compare the actual overshoot with the predicted overshoot.

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Modern Control Systems

ISBN: 978-0136024583

12th edition

Authors: Richard C. Dorf, Robert H. Bishop

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