Problems for home work(time domain response) Q1) Consider a second order all-pole transfer function model, if the desired settling time (5%) is 0.60 sec and the desired damping ratio 0.707, where should the poles be located in s-plane? and what there are. The forward path transfer function is given by G(s) = 9/s(s+6). Obtain an expression for unit step response of the system. Q2) Q3) A system with transfer function 1/Ts+1, subjected to a unit step input to reach 95.03% of final value, what is the value of t. Q4) A particular control system yielded a steady state error of 0.20 for unit step input. A unit integrator is cascaded to this system and unit ramp input is applied to this modified system. What is the value of steady-state error for this modified system? Q5) For the control system shown in Fig A below, a) Determine the values of gain K and the time constant T so that the system response for unit-step input is as shown in Fig. B. b) With these values of K and T, obtain in part (a), find the peak time and percentage overshoot. c) Calculate the position error coefficient and the steady-state error. Mp-? R(S) C(S) K S(S+3T) 1 0.02 0.5 0.5 T Fig. A 4.0
Problems for home work(time domain response) Q1) Consider a second order all-pole transfer function model, if the desired settling time (5%) is 0.60 sec and the desired damping ratio 0.707, where should the poles be located in s-plane? and what there are. The forward path transfer function is given by G(s) = 9/s(s+6). Obtain an expression for unit step response of the system. Q2) Q3) A system with transfer function 1/Ts+1, subjected to a unit step input to reach 95.03% of final value, what is the value of t. Q4) A particular control system yielded a steady state error of 0.20 for unit step input. A unit integrator is cascaded to this system and unit ramp input is applied to this modified system. What is the value of steady-state error for this modified system? Q5) For the control system shown in Fig A below, a) Determine the values of gain K and the time constant T so that the system response for unit-step input is as shown in Fig. B. b) With these values of K and T, obtain in part (a), find the peak time and percentage overshoot. c) Calculate the position error coefficient and the steady-state error. Mp-? R(S) C(S) K S(S+3T) 1 0.02 0.5 0.5 T Fig. A 4.0
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![Problems for home work(time domain response)
Q1) Consider a second order all-pole transfer function model, if the desired settling
time (5%) is 0.60 sec and the desired damping ratio 0.707, where should the poles be
located in s-plane? and what there are.
Q2) The forward path transfer function is given by G(s) = 9/s(s+6). Obtain an
expression for unit step response of the system.
Q3) A system with transfer function 1/Ts+1, subjected to a unit step input to reach
95.03% of final value, what is the value of t.
Q4) A particular control system yielded a steady state error of 0.20 for unit step input. A
unit integrator is cascaded to this system and unit ramp input is applied to this
modified system. What is the value of steady-state error for this modified system?
Q5) For the control system shown in Fig A below,
a) Determine the values of gain K and the time constant T so that the system
response for unit-step input is as shown in Fig. B.
b) With these values of K and T, obtain in part (a), find the peak time and
percentage overshoot.
c) Calculate the position error coefficient and the steady-state error.
c(t)
Mp-?
R(S)
C(S)
1
0.02
S(S+3T)
0.5
0.5
Fig. A
4.0
Fig. B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe710e764-bd92-471f-a759-c5fd8540e934%2F5999b81b-a2bd-40e3-b8a8-e80e2afba7fe%2F3006ob4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problems for home work(time domain response)
Q1) Consider a second order all-pole transfer function model, if the desired settling
time (5%) is 0.60 sec and the desired damping ratio 0.707, where should the poles be
located in s-plane? and what there are.
Q2) The forward path transfer function is given by G(s) = 9/s(s+6). Obtain an
expression for unit step response of the system.
Q3) A system with transfer function 1/Ts+1, subjected to a unit step input to reach
95.03% of final value, what is the value of t.
Q4) A particular control system yielded a steady state error of 0.20 for unit step input. A
unit integrator is cascaded to this system and unit ramp input is applied to this
modified system. What is the value of steady-state error for this modified system?
Q5) For the control system shown in Fig A below,
a) Determine the values of gain K and the time constant T so that the system
response for unit-step input is as shown in Fig. B.
b) With these values of K and T, obtain in part (a), find the peak time and
percentage overshoot.
c) Calculate the position error coefficient and the steady-state error.
c(t)
Mp-?
R(S)
C(S)
1
0.02
S(S+3T)
0.5
0.5
Fig. A
4.0
Fig. B
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