Q7 A system has 40% overshoot and requires a settling time of 4 secs when given a step input. Thesteady state error 2%. Determine the transfer function of the second order system. Also find risetime and peak time.Q8 A standard second order system has 50% overshoot and settling time of 3 seconds. Determinew.. , T, and T.Q9 Theopen loop transfer function of a unity feedback control system is given byKG(s)%3D$ (s T+ 1)i) By what factor the amplifier gain K should be multiplied so that the damping ratio is increasedfrom 0.2 to 0.8.ii) By what factor the time constant T should be multiplied so that damping ratio is reduced from 0.6to 0.3.

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A system has 40% overshoot and requires a settling time of 4 secs when given a step input. The steady state error 2%. Determine the transfer function of the second order system. Also find rise time and peak time.

A system has 40% overshoot and requires a settling time of 4 secs when given a step input. The steady state error 2%. Determine the transfer function of the second order system. Also find rise time and peak time.

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

Q7 A system has 40% overshoot and requires a settling time of 4 secs when given a step input. The
steady state error 2%. Determine the transfer function of the second order system. Also find rise
time and peak time.
Q8 A standard second order system has 50% overshoot and settling time of 3 seconds. Determine
w.. , T, and T.
Q9 The
open loop transfer function of a unity feedback control system is given by
K
G(s)
%3D
$ (s T+ 1)
i) By what factor the amplifier gain K should be multiplied so that the damping ratio is increased
from 0.2 to 0.8.
ii) By what factor the time constant T should be multiplied so that damping ratio is reduced from 0.6
to 0.3.

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