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

Delmar's Standard Textbook Of Electricity
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ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter19: Capacitors
Section: Chapter Questions
Problem 1PP: Fill in all the missing values. Refer to the formulas that follow. Resistance Capacitance Time...
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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)
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
Transcribed Image Text:R(s) E (s) Y(s) + K G(s) Figure 4
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