1.A unity feedback control system has a plant with third order transfer function K s(s+ 10) (s + 50) G(s) = We want the percentage overshoot to be 7.5% for a step input and settling time (with %2 criterion) of the system be 400ms. a) Find the desired dominant poles b)Plot the root locus (approximately) of the system, find asymptotes, find break-away point, and show the position of the desired poles c) Design a controller (find the position of the pole and value of K) and let zero of the controller be located at s=-15.

1.A unity feedback control system has a plant with third order transfer function K s(s+ 10) (s + 50) G(s) = We want the percentage overshoot to be 7.5% for a step input and settling time (with %2 criterion) of the system be 400ms. a) Find the desired dominant poles b)Plot the root locus (approximately) of the system, find asymptotes, find break-away point, and show the position of the desired poles c) Design a controller (find the position of the pole and value of K) and let zero of the controller be located at s=-15.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

1.A unity feedback control system has a plant with third order transfer function
K
s(s+ 10) (s + 50)*
G(s)
We want the percentage overshoot to be 7.5% for a step input and settling time (with %2 criterion) of
the system be 400ms.
a) Find the desired dominant poles
b)Plot the root locus (approximately) of the system, find asymptotes, find break-away point, and show
the position of the desired poles
c) Design a controller (find the position of the pole and value of K) and let zero of the controller be
located at s=-15.

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Step 2: Calculation of damping ratio and natural frequency

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Step 3: Calculation of dominant pole

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Step 4: Root locus plot of the given system

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