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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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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.
Transcribed Image Text: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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