A controller with proportional gain K, is in series with a plant with transfer function, 1 G(s) = (s + 1)(0.5s + 1) and employs a unity negative feedback loop. What value of K, will result in a steady state error of 1% in response to a unit step input? What is the damping of the system with this value of K,? If derivative

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2. A controller with proportional gain K, is in series with a plant with transfer function,
1
G(s) =
(s + 1)(0.5s + 1)
and employs a unity negative feedback loop. What value of Kp will result in a steady state error of 1%
in response to a unit step input? What is the damping of the system with this value of K„? If derivative
action is now added what value of derivative gain Ka is required to give a system damping of 0.8?
Transcribed Image Text:2. A controller with proportional gain K, is in series with a plant with transfer function, 1 G(s) = (s + 1)(0.5s + 1) and employs a unity negative feedback loop. What value of Kp will result in a steady state error of 1% in response to a unit step input? What is the damping of the system with this value of K„? If derivative action is now added what value of derivative gain Ka is required to give a system damping of 0.8?
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