Step response of open-loop system: Pole-zero map: easte,pole-zero plot here> Pole-Zero Map Step Response 06 0.5 0.4 03 02 2 0.1 .3 0.5 1.5 4 3.5325 2 1.50.5 Time (seconds)
Answer the following questions. Q: What type of response is output? : Compare the results for Kp3 to those for Kp-10. Discuss and explain the differences. : Observe the effect for other values of Ke such as 1, 15, etc. What do you conclude is the effect of increasing Ke answer
Homework Answers
kp=10
kp=3
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Closed-loop system response and characteristics, Proportional gain 10 < paste transfer function T...
PROBLEMA: (25%) A closed-loop control system is shown below Ds) T(O) U(A) C(s) (a) Show that a proportional controller (C(s)-kp) will never make the closed-loop system stable. (8%) (Hint: you nee...
PROBLEMA: (25%) A closed-loop control system is shown below Ds) T(O) U(A) C(s) (a) Show that a proportional controller (C(s)-kp) will never make the closed-loop system stable. (8%) (Hint: you need to calculate the closed-loop pole locations and make discussion for the two possible cases.) (Medim) (b) When a PD controller is used (C(s)kp+ kps), calculate the steady state tracking error when both R(s) and D(s) are unit steps. (8%) (Easy) (e) Suppose R(s) is a unit step and D(s)...
E. If you double the value of kp, what are the new closed-loop pole locations and [5 points] how much overshoot does the step response have? Hint: It is possible to determine the original value...
E. If you double the value of kp, what are the new closed-loop pole locations and [5 points] how much overshoot does the step response have? Hint: It is possible to determine the original value for kp. However, with the knowledge at this point, you can compute the pole locations without actually knowing kp (simply double the zero-order term in the denominator polyno- mial). Problem 2 You are confronted with a process that has the unknown transfer function G(s). It...
Q3. Consider a single loop unity feedback control system of the open loop transfer function (a) Find the range of values of the gain K and the parameter p so that: (i) The overshoot is less than 10%....
Q3. Consider a single loop unity feedback control system of the open loop transfer function (a) Find the range of values of the gain K and the parameter p so that: (i) The overshoot is less than 10%. (ii)The settling time is less than 4 seconds Note: , 4.6 M. = exp CO 40% (b)What are the three elements in a PID controller? Considering each in turn, explain the main ways in which varying the parameters affects the closed-loop system...
just the final answer 4. What are the four major characteristics of a closed-loop step response?...
just the final answer
4. What are the four major characteristics of a closed-loop step response? a. Rise time, overshoot, settling time and steady-state b. Rise time, overflow, settling time and steady-state c. Rise start, overshoot, settling time and tracking error. error. error d. Rise start, overflow, settling time and tracking error. 5. The Ki response will decrease the: a) Steady-state error. b) Rise time ) Oversheo d) Tracking error I. The poles and zeros of a rational system function...
Assume the following closed-loop system with a PID controller. Match the step responses with the appropriate...
Assume the following closed-loop system with a PID controller. Match the step responses with the appropriate controller parameters. R(s) + PID Y(s) Controller G(s) 1. Step Response 1.5 data 0.5 0 10 40 50 20 30 Time (seconds) Kp = 2, Td = 1, Ti = 5 2. Step Response 1.5 =1, Kp = 5, Td Ti = 5 0.5 D 10 40 50 Кр = 10, Td = 1, T = 5 20 30 Time (seconds) Step Response 3....
Consider the closed loop system defined by the following block diagram. a) Compute the transfer function...
Consider the closed loop system defined by the following block diagram. a) Compute the transfer function E(s)/R(s). b) Determine the steady state error for a unit-step 1. Controller ant Itly Ro- +- HI- 4단Toy , c) d) e) reference input signal. Determine the steady state error response for a unit-ramp reference input signal. Determine the locations of the closed loop poles of the system. Select system parameters kp and ki in terms of k so that damping coefficient V2/2 and...
Problem 5 (15 points) A unity negative feedback closed-loop system has the closed- loop transfer function...
Problem 5 (15 points) A unity negative feedback closed-loop system has the closed- loop transfer function given below. (s + 4) G (5) " (s +50) (s + 2)(s + 5) Compute the percent overshoot and rise time of the step response. Process D(3) GE) HX) Figure 1.
question b or the control system in Figure 1: C(s) Find the closed-loop transfer function T(s)-- R(s) a) b) Find a...
question b
or the control system in Figure 1: C(s) Find the closed-loop transfer function T(s)-- R(s) a) b) Find a value of Kp that will yield less than 15% overshoot for the closed-loop system. (Note: ignore the zero dynamics to calculate Kp initially). c IIsing vour K from nart h) write a MATI AR scrint that calculates the closedloon Motor Plant R(s)+ C(s) Controller 10 Kp (s+9) s2 +6s15 12 Figure 1: Unity feedback with PD control
or the...
R(s) Q1 (25p). The closed loop control system is shown in the figure. The response of...
R(s) Q1 (25p). The closed loop control system is shown in the figure. The response of the control system to a unit step reference input is shown in below. C(s) Kp 0.6 S2 + 5s + A 4 a) Find and wn. b) Find Ke and A c) If we use a proportional-integral (PI) controller instead of a proportional (P) controller, how the graph would be expected to change. For two different integral coefficients (bigger Ki_1 and smaller K_2), make...
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus...
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus plot as shown below. The location of the roots for a system gain of K= 0.248 is show on the plot. At this location the system has a damping factor of 0.708 and a settling time of 4/1.5 = 2.67 seconds. A lead compensator is to be used to improve the transient response. (Note that nothing is plotted on the graph except for that...
PROBLEMA: (25%) A closed-loop control system is shown below Ds) T(O) U(A) C(s) (a) Show that a proportional controller (C(s)-kp) will never make the closed-loop system stable. (8%) (Hint: you need to calculate the closed-loop pole locations and make discussion for the two possible cases.) (Medim) (b) When a PD controller is used (C(s)kp+ kps), calculate the steady state tracking error when both R(s) and D(s) are unit steps. (8%) (Easy) (e) Suppose R(s) is a unit step and D(s)...
E. If you double the value of kp, what are the new closed-loop pole locations and [5 points] how much overshoot does the step response have? Hint: It is possible to determine the original value for kp. However, with the knowledge at this point, you can compute the pole locations without actually knowing kp (simply double the zero-order term in the denominator polyno- mial). Problem 2 You are confronted with a process that has the unknown transfer function G(s). It...
Q3. Consider a single loop unity feedback control system of the open loop transfer function (a) Find the range of values of the gain K and the parameter p so that: (i) The overshoot is less than 10%. (ii)The settling time is less than 4 seconds Note: , 4.6 M. = exp CO 40% (b)What are the three elements in a PID controller? Considering each in turn, explain the main ways in which varying the parameters affects the closed-loop system...
just the final answer
4. What are the four major characteristics of a closed-loop step response? a. Rise time, overshoot, settling time and steady-state b. Rise time, overflow, settling time and steady-state c. Rise start, overshoot, settling time and tracking error. error. error d. Rise start, overflow, settling time and tracking error. 5. The Ki response will decrease the: a) Steady-state error. b) Rise time ) Oversheo d) Tracking error I. The poles and zeros of a rational system function...
Assume the following closed-loop system with a PID controller. Match the step responses with the appropriate controller parameters. R(s) + PID Y(s) Controller G(s) 1. Step Response 1.5 data 0.5 0 10 40 50 20 30 Time (seconds) Kp = 2, Td = 1, Ti = 5 2. Step Response 1.5 =1, Kp = 5, Td Ti = 5 0.5 D 10 40 50 Кр = 10, Td = 1, T = 5 20 30 Time (seconds) Step Response 3....
Consider the closed loop system defined by the following block diagram. a) Compute the transfer function E(s)/R(s). b) Determine the steady state error for a unit-step 1. Controller ant Itly Ro- +- HI- 4단Toy , c) d) e) reference input signal. Determine the steady state error response for a unit-ramp reference input signal. Determine the locations of the closed loop poles of the system. Select system parameters kp and ki in terms of k so that damping coefficient V2/2 and...
Problem 5 (15 points) A unity negative feedback closed-loop system has the closed- loop transfer function given below. (s + 4) G (5) " (s +50) (s + 2)(s + 5) Compute the percent overshoot and rise time of the step response. Process D(3) GE) HX) Figure 1.
question b
or the control system in Figure 1: C(s) Find the closed-loop transfer function T(s)-- R(s) a) b) Find a value of Kp that will yield less than 15% overshoot for the closed-loop system. (Note: ignore the zero dynamics to calculate Kp initially). c IIsing vour K from nart h) write a MATI AR scrint that calculates the closedloon Motor Plant R(s)+ C(s) Controller 10 Kp (s+9) s2 +6s15 12 Figure 1: Unity feedback with PD control
or the...
R(s) Q1 (25p). The closed loop control system is shown in the figure. The response of the control system to a unit step reference input is shown in below. C(s) Kp 0.6 S2 + 5s + A 4 a) Find and wn. b) Find Ke and A c) If we use a proportional-integral (PI) controller instead of a proportional (P) controller, how the graph would be expected to change. For two different integral coefficients (bigger Ki_1 and smaller K_2), make...
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus plot as shown below. The location of the roots for a system gain of K= 0.248 is show on the plot. At this location the system has a damping factor of 0.708 and a settling time of 4/1.5 = 2.67 seconds. A lead compensator is to be used to improve the transient response. (Note that nothing is plotted on the graph except for that...
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