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(10 marks) (CLO) 01. For the control system shown in Fig. below, determine: (a) As)/R() (b)...
Question 3 The block diagram of a digital control system is given in Fig. 2. R(Z)...
Question 3 The block diagram of a digital control system is given in Fig. 2. R(Z) + VT CZ 0.52 0.24(2 +0.5) (2-0.4) (z-1) Fig. 2 (a) Write an expression for the closed-loop z-transfer function of the system, C(z)/R(z). Given that one of the poles is located at z=0.235, complete a pole-zero diagram for the system. [8 marks] (b) Using a sampling interval, T = 0.5 s, map the poles and zeros onto the primary strip in the s-plane. [8...
Q. 1 (10 marks) For the system in Fig. 1 (a) Assume proportion control. Ge(s) =...
Q. 1 (10 marks) For the system in Fig. 1 (a) Assume proportion control. Ge(s) = K. sketch the root locus for the closed-loop system (b). Using the angle condition, prove that s1 =-2 +j2 is not on the root locus. (c). Design a lead compensator such that the dominant closed-loop poles are located at s-2tj2. (d). What are the zero and pole of lead compensator Ge(s)? (e). With Ge (s) has the zero and pole found in (c), sketch...
2. (30 points) For the closed-loop control system shown below, C(s) R(s) 0.5 3s +1 1) Please find...
PLEASE SOLVE IT ASAP ! WITH CLEAR STEPS !!
2. (30 points) For the closed-loop control system shown below, C(s) R(s) 0.5 3s +1 1) Please find the closed-loop transfer function C(s)/R(s). (15 points) 2) Without mathematically solving the response c(), please plot c() to a unit step input (r(t)-1). (15 points)
2. (30 points) For the closed-loop control system shown below, C(s) R(s) 0.5 3s +1 1) Please find the closed-loop transfer function C(s)/R(s). (15 points) 2) Without mathematically...
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)...
For the system shown in Fig Q2. Determine the output c(t) when r(t) is: 2. (10...
For the system shown in Fig Q2. Determine the output c(t) when r(t) is: 2. (10 marks) (15 marks) i. A step input of magnitude A ii. A unit ramp input. In each case sketch the expected output response c(t) based on the input r(t). C(s) Fig Q2
Q. 1 (5 marks) For the system in Fig. (a). Assume proportion control, Gc(s)-K, sketch the root lo...
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Q. 1 (5 marks) For the system in Fig. (a). Assume proportion control, Gc(s)-K, sketch the root locus for the closed-loop system (b). Using the angle condition, prove that s12 +j2 is not on the root locus. (c). Design a lead compensator Ge(s) - K such that the dominant closed-loop poles are located at s1--2 2. (d), What are the zero and pole of lead compensator G() (e)....
Q.2 (10 marks) Consider the system shown in Fig.2 with K(5-3) H(s) = (s – 4)...
Q.2 (10 marks) Consider the system shown in Fig.2 with K(5-3) H(s) = (s – 4) (s+1)(s+2) (a) Sketch the root locus of the closed-loop system as the gain K varies from zero to infinity. (b) Based on the root locus, determine the range of K such that the system is stable and under-damped. (c) Determine the K value such that the closed-loop system is over-damped and stable. (d) Use MATLAB draw the root locus and confirm the root locus...
Consider the system shown below where the velocity feedback control is utilized. Determine K and Kh...
Consider the system shown below where the velocity feedback control is utilized. Determine K and Kh so that the following specifications are satisfied: 1. Damping ratio of the closed loop system is 0.5 2. Settling time of the closed loop system (according to the 4T criteria) is less than 2s 3. Steady-state error for a unit ramp input is less than or equal to 0.02. R(s) C(s) 2s +1
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...
Q1)[10 marks, CLO: 01] While the switch of the circuit in the figure is held down...
Q1)[10 marks, CLO: 01] While the switch of the circuit in the figure is held down for 1.5 s, the 9V battery delivers 9 to the connected in series bulb, find: a. Show on the figure the conventional current flow and electron flow b. The amount of charge delivered 9 V c. The current produced in milliampere. d. Calculate the rate at which the electrical energy is converted in the bulb. e. Calculate the resistance of the bulb filament. 02)...
Question 3 The block diagram of a digital control system is given in Fig. 2. R(Z) + VT CZ 0.52 0.24(2 +0.5) (2-0.4) (z-1) Fig. 2 (a) Write an expression for the closed-loop z-transfer function of the system, C(z)/R(z). Given that one of the poles is located at z=0.235, complete a pole-zero diagram for the system. [8 marks] (b) Using a sampling interval, T = 0.5 s, map the poles and zeros onto the primary strip in the s-plane. [8...
Q. 1 (10 marks) For the system in Fig. 1 (a) Assume proportion control. Ge(s) = K. sketch the root locus for the closed-loop system (b). Using the angle condition, prove that s1 =-2 +j2 is not on the root locus. (c). Design a lead compensator such that the dominant closed-loop poles are located at s-2tj2. (d). What are the zero and pole of lead compensator Ge(s)? (e). With Ge (s) has the zero and pole found in (c), sketch...
PLEASE SOLVE IT ASAP ! WITH CLEAR STEPS !!
2. (30 points) For the closed-loop control system shown below, C(s) R(s) 0.5 3s +1 1) Please find the closed-loop transfer function C(s)/R(s). (15 points) 2) Without mathematically solving the response c(), please plot c() to a unit step input (r(t)-1). (15 points)
2. (30 points) For the closed-loop control system shown below, C(s) R(s) 0.5 3s +1 1) Please find the closed-loop transfer function C(s)/R(s). (15 points) 2) Without mathematically...
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)...
For the system shown in Fig Q2. Determine the output c(t) when r(t) is: 2. (10 marks) (15 marks) i. A step input of magnitude A ii. A unit ramp input. In each case sketch the expected output response c(t) based on the input r(t). C(s) Fig Q2
pls answer dont just copy other solution or ur catching a
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Q. 1 (5 marks) For the system in Fig. (a). Assume proportion control, Gc(s)-K, sketch the root locus for the closed-loop system (b). Using the angle condition, prove that s12 +j2 is not on the root locus. (c). Design a lead compensator Ge(s) - K such that the dominant closed-loop poles are located at s1--2 2. (d), What are the zero and pole of lead compensator G() (e)....
Q.2 (10 marks) Consider the system shown in Fig.2 with K(5-3) H(s) = (s – 4) (s+1)(s+2) (a) Sketch the root locus of the closed-loop system as the gain K varies from zero to infinity. (b) Based on the root locus, determine the range of K such that the system is stable and under-damped. (c) Determine the K value such that the closed-loop system is over-damped and stable. (d) Use MATLAB draw the root locus and confirm the root locus...
Consider the system shown below where the velocity feedback control is utilized. Determine K and Kh so that the following specifications are satisfied: 1. Damping ratio of the closed loop system is 0.5 2. Settling time of the closed loop system (according to the 4T criteria) is less than 2s 3. Steady-state error for a unit ramp input is less than or equal to 0.02. R(s) C(s) 2s +1
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...
Q1)[10 marks, CLO: 01] While the switch of the circuit in the figure is held down for 1.5 s, the 9V battery delivers 9 to the connected in series bulb, find: a. Show on the figure the conventional current flow and electron flow b. The amount of charge delivered 9 V c. The current produced in milliampere. d. Calculate the rate at which the electrical energy is converted in the bulb. e. Calculate the resistance of the bulb filament. 02)...
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