Figure 4 shows a position-control system for motion control system. Suppose that, for constant input, steady state errors less than two percent, e< 2% is obtained. Given that G(s)=2.Q/(s³+4s²+5.Ts+2.Q). [Where Q and T depend on the respective fifth and sixth digit of your matrix number. Example matric no. CD180100=CD1801TQ; T=0, Q=0; G(s)=2.0/(s²+4s²+5.0s+2.0).] a) Find the position error constant, Kp b) Determine the gain, K value for steady state error condition as stated c) Check the stability requirement for K, using Routh-Hurwitz criterion d) Comment on the requirement of gain will satisfied or unsatisfied the system 2 e) Sketch the loci when G(s) : and find for s(s?+4s+5) i asymptotes, ii. break away/in points, iii. angle of departure iv. K value at imaginary axis
Figure 4 shows a position-control system for motion control system. Suppose that, for constant input, steady state errors less than two percent, e< 2% is obtained. Given that G(s)=2.Q/(s³+4s²+5.Ts+2.Q). [Where Q and T depend on the respective fifth and sixth digit of your matrix number. Example matric no. CD180100=CD1801TQ; T=0, Q=0; G(s)=2.0/(s²+4s²+5.0s+2.0).] a) Find the position error constant, Kp b) Determine the gain, K value for steady state error condition as stated c) Check the stability requirement for K, using Routh-Hurwitz criterion d) Comment on the requirement of gain will satisfied or unsatisfied the system 2 e) Sketch the loci when G(s) : and find for s(s?+4s+5) i asymptotes, ii. break away/in points, iii. angle of departure iv. K value at imaginary axis
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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d
e....
![Figure 4 shows a position-control system for motion control system. Suppose that, for
constant input, steady state errors less than two percent, e::< 2% is obtained.
4
Given that G(s)=2.Q/(s³+4s°+5.Ts+2.Q).
[Where Q and T depend on the respective fifth and sixth digit of your matrix number. Example
matric no. CD180100=CD1801TQ; T=0, Q=0; G(s)=2.0/(s³+4s²+5.0s+2.0).]
a) Find the position error constant, Kp
b) Determine the gain, K value for steady state error condition as stated
c) Check the stability requirement for K, using Routh-Hurwitz criterion
d) Comment on the requirement of gain will satisfied or unsatisfied the system
2
e) Sketch the loci when G(s) =-
i. asymptotes,
ii. break away/in points,
iii. angle of departure
iv. K value at imaginary axis
and find for
s(s²+4s+5)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14e9341b-fb8b-4c61-b5f6-72d408215895%2F53046858-d066-4050-aae7-5ca449d45ae0%2F3ts2b0c_processed.png&w=3840&q=75)
Transcribed Image Text:Figure 4 shows a position-control system for motion control system. Suppose that, for
constant input, steady state errors less than two percent, e::< 2% is obtained.
4
Given that G(s)=2.Q/(s³+4s°+5.Ts+2.Q).
[Where Q and T depend on the respective fifth and sixth digit of your matrix number. Example
matric no. CD180100=CD1801TQ; T=0, Q=0; G(s)=2.0/(s³+4s²+5.0s+2.0).]
a) Find the position error constant, Kp
b) Determine the gain, K value for steady state error condition as stated
c) Check the stability requirement for K, using Routh-Hurwitz criterion
d) Comment on the requirement of gain will satisfied or unsatisfied the system
2
e) Sketch the loci when G(s) =-
i. asymptotes,
ii. break away/in points,
iii. angle of departure
iv. K value at imaginary axis
and find for
s(s²+4s+5)
![R(s)
E (s)
Y(s)
+
K
G(s)
Figure 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14e9341b-fb8b-4c61-b5f6-72d408215895%2F53046858-d066-4050-aae7-5ca449d45ae0%2F35810io_processed.png&w=3840&q=75)
Transcribed Image Text:R(s)
E (s)
Y(s)
+
K
G(s)
Figure 4
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