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The block diagram in figure Q2 shows a plant G, (s) controlled by a controller Gc(s) using a unity negative feedback loop. R(s) C(s) + Ge(s) Gp(s) Figure Q2 The dynamics of the plant are described by the trans fer function 1 Gp(s) = 2s2 + s + 4 If the controller applies proportional action, find the value of gain Kp that results in a steady state error of 4% for a unit step input. With proportional gain maintained at the same value from part (a), derivative action is added to the controller Calculate the value of gain K. which gives ar

The block diagram in figure Q2 shows a plant G, (s) controlled by a controller Gc(s) using a unity negative feedback loop. R(s) C(s) + Ge(s) Gp(s) Figure Q2 The dynamics of the plant are described by the trans fer function 1 Gp(s) = 2s2 + s + 4 If the controller applies proportional action, find the value of gain Kp that results in a steady state error of 4% for a unit step input. With proportional gain maintained at the same value from part (a), derivative action is added to the controller Calculate the value of gain K. which gives ar

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Q2 The block diagram in figure Q2 shows a plant G„(s) controlled by a controller G.(s) using a unity negative feedback loop. R(s), C(s) Ge(s) Gp(s) Figure Q2 The dynamics of the plant are described by the trans fer function 1 Gp(s) = 2s2 + s + 4 If the controller applies proportional action, find the value of gain K, that results in a steady state error of 4% for a unit step input. (a) (b) With proportional gain maintained at the same value from part (a), derivative action is added to the controller. Calculate the value of gain Ka which gives an overall system damping ratio of 0.8. (c) The controller is redesigned with new gains so that the system has a settling time of 2s and maximum overshoot of 7.5% in response to a unit step input. Find the new values of K, and Ka.
Transcribed Image Text:Q2 The block diagram in figure Q2 shows a plant G„(s) controlled by a controller G.(s) using a unity negative feedback loop. R(s), C(s) Ge(s) Gp(s) Figure Q2 The dynamics of the plant are described by the trans fer function 1 Gp(s) = 2s2 + s + 4 If the controller applies proportional action, find the value of gain K, that results in a steady state error of 4% for a unit step input. (a) (b) With proportional gain maintained at the same value from part (a), derivative action is added to the controller. Calculate the value of gain Ka which gives an overall system damping ratio of 0.8. (c) The controller is redesigned with new gains so that the system has a settling time of 2s and maximum overshoot of 7.5% in response to a unit step input. Find the new values of K, and Ka.
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