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Problem 5: Consider the following feedback system, where the system G is governed by the differential dt+ 50 u (t), where u (t) is d3 (t)d² y(t)d()du (t) equation d t3 + 8 d t2+ 32 the input for the system G, and y(t) is the output for the system G. dt=13 G a) Derive the transfer function for the overall system. b) Determine the stability of the system. Use the Laplace transform to determine the output of system in s-domain when the reference input is a unit step signal.

Problem 5: Consider the following feedback system, where the system G is governed by the differential dt+ 50 u (t), where u (t) is d3 (t)d² y(t)d()du (t) equation d t3 + 8 d t2+ 32 the input for the system G, and y(t) is the output for the system G. dt=13 G a) Derive the transfer function for the overall system. b) Determine the stability of the system. Use the Laplace transform to determine the output of system in s-domain when the reference input is a unit step signal.

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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Problem 5: Consider the following feedback system, where the system G is governed by the differential d3 y(t)d2 y(t)dy(t)du (t) equation d t3 + 8 dt2+ 32 the input for the system G, and y(t) is the output for the system G. dt=13 dt+ 50 u (t), where u (t) is %3D a) Derive the transfer function for the overall system. b) Determine the stability of the system. c) Use the Laplace transform to determine the output of system in s-domain when the reference input is a unit step signal.
Transcribed Image Text:Problem 5: Consider the following feedback system, where the system G is governed by the differential d3 y(t)d2 y(t)dy(t)du (t) equation d t3 + 8 dt2+ 32 the input for the system G, and y(t) is the output for the system G. dt=13 dt+ 50 u (t), where u (t) is %3D a) Derive the transfer function for the overall system. b) Determine the stability of the system. c) Use the Laplace transform to determine the output of system in s-domain when the reference input is a unit step signal.
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