2) A position control system uses the principle of velocity feedback, as shown in the following figure. Given the input and output of the system to be R(s) and C(s), respectively. 2 A. Find the closed-loop transfer function C(s)/R(s) of this system. B. Find the value of the natural frequency (On) of the system. 10 s(s+1) ßs C. Find the value of B and the damping ratio 5 that make the closed-loop poles have the same value. D. When the system has data as in C. and when the system has a reference signal R(s) which is a step input signal of size 10 units, find the time response c(t). E. Find the error value at steady state 35 when the system has a reference signal that is a ramp input signal of size 1 unit.
2) A position control system uses the principle of velocity feedback, as shown in the following figure. Given the input and output of the system to be R(s) and C(s), respectively. 2 A. Find the closed-loop transfer function C(s)/R(s) of this system. B. Find the value of the natural frequency (On) of the system. 10 s(s+1) ßs C. Find the value of B and the damping ratio 5 that make the closed-loop poles have the same value. D. When the system has data as in C. and when the system has a reference signal R(s) which is a step input signal of size 10 units, find the time response c(t). E. Find the error value at steady state 35 when the system has a reference signal that is a ramp input signal of size 1 unit.
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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Transcribed Image Text:2) A position control system uses the principle of velocity feedback, as shown in the following figure. Given
the input and output of the system to be R(s) and C(s), respectively.
2
A. Find the closed-loop transfer function C(s)/R(s) of this system.
B. Find the value of the natural frequency (On) of the system.
10
s(s+1)
ßs
C. Find the value of B and the damping ratio 5 that make the closed-loop poles have the same value.
D. When the system has data as in C. and when the system has a reference signal R(s) which is a step
input signal of size 10 units, find the time response c(t).
E. Find the error value at steady state 35 when the system has a reference signal that is a ramp input
signal of size 1 unit.
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