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2. A second order system is modelled by the transfer function G(s) = A s2 + 2s + 5 proportional controller is then placed in series with the system and the combination is enclosed within a unity gain negative feedback loop (as shown in figure 2 below). (a) What value of gain would produce a closed loop system having an overshoot of 25%? (b) Is there a value of gain that would cause the closed loop system to be unstable?

2. A second order system is modelled by the transfer function G(s) = A s2 + 2s + 5 proportional controller is then placed in series with the system and the combination is enclosed within a unity gain negative feedback loop (as shown in figure 2 below). (a) What value of gain would produce a closed loop system having an overshoot of 25%? (b) Is there a value of gain that would cause the closed loop system to be unstable?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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1 2. A second order system is modelled by the transfer function G(s) A s2 + 2s + 5 proportional controller is then placed in series with the system and the combination is enclosed within a unity gain negative feedback loop (as shown in figure 2 below). (a) What value of gain would produce a closed loop system having an overshoot of 25%? (b) Is there a value of gain that would cause the closed loop system to be unstable?
Transcribed Image Text:1 2. A second order system is modelled by the transfer function G(s) A s2 + 2s + 5 proportional controller is then placed in series with the system and the combination is enclosed within a unity gain negative feedback loop (as shown in figure 2 below). (a) What value of gain would produce a closed loop system having an overshoot of 25%? (b) Is there a value of gain that would cause the closed loop system to be unstable?
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