1. A controller with proportional gain K, is in series with a plant with transfer function 1 G(s) = s(0.05s + 1) and employs a unity negative feedback loop. a) Determine the response of the system to a unit step input if the feedback loop is open. b) If the feedback loop is closed, determine the response to a unit step input given i) Kp = 0.5, c) What is the lowest value of K, which gives a non-oscillatory response? ii) K, = 10.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.3P
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1. A controller with proportional gain K, is in series with a plant with transfer function
1
G(s) =
s(0.05s + 1)
and employs a unity negative feedback loop.
a) Determine the response of the system to a unit step input if the feedback loop is open.
b) If the feedback loop is closed, determine the response to a unit step input given
i) Kp = 0.5,
c) What is the lowest value of K, which gives a non-oscillatory response?
ii) Kp = 10.
Transcribed Image Text:1. A controller with proportional gain K, is in series with a plant with transfer function 1 G(s) = s(0.05s + 1) and employs a unity negative feedback loop. a) Determine the response of the system to a unit step input if the feedback loop is open. b) If the feedback loop is closed, determine the response to a unit step input given i) Kp = 0.5, c) What is the lowest value of K, which gives a non-oscillatory response? ii) Kp = 10.
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