Q3) A speed control system of a DC motor with a-ve feedback is shown in the figure below The input R(s) and the output w(s) Km 1 K (Ra – Las) (Js + b) | back emf signal a) Derive the closed loop transfer function. Assume Ra = La = ] = b = 1 and the motor constants Km = K, = 2 b) Calculate the steady stat error of his system to a step input command. c) Select a feedback gain for the back emf signal to yield a step response with an overshoot of 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
Q3) A speed control system of a DC motor with a -ve feedback is shown in the figure
below The input R(s) and the output w(s)
Km
1
K
(Ra – Las)
(Js + b)
back emf signal
a) Derive the closed loop transfer function. Assume Ra = La =J = b =
1 and the motor constants Km = K, = 2
b) Calculate the steady stat error of his system to a step input command.
c) Select a feedback gain for the back emf signal to yield a step response with an
overshoot of 15%.
Transcribed Image Text:Q3) A speed control system of a DC motor with a -ve feedback is shown in the figure below The input R(s) and the output w(s) Km 1 K (Ra – Las) (Js + b) back emf signal a) Derive the closed loop transfer function. Assume Ra = La =J = b = 1 and the motor constants Km = K, = 2 b) Calculate the steady stat error of his system to a step input command. c) Select a feedback gain for the back emf signal to yield a step response with an overshoot of 15%.
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