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4.3.5. Using eqs (1) to (5) and assuming um()-0 and L 0, derive the transfer function...
Derive following basic functions using the definition of Laplace transform. (e) L{cos kt) = 5 +k...
Derive following basic functions using the definition of
Laplace transform.
(e) L{cos kt) = 5 +k S
(30 pts) A D.C. motor is shown below, where the inductance L and the resistance R model the armat...
(30 pts) A D.C. motor is shown below, where the inductance L and the resistance R model the armature circuit. The voltage Vb represents the back-emf which is proportional to dθ/dt via K. The torque T generated by the motor is proportional to the i via a constant K. The inertia J represents the combined inertia of the motor and load. The viscous friction acting on the output shaft is B 1. pur voltaop a. A. (10 pts) Find the...
1. For Kc = 1, derive the overall transfer function for set-point tracking. 2. For Kc...
1. For Kc = 1, derive the overall transfer function
for set-point tracking.
2. For Kc = 1, derive the overall transfer function for disturbance
rejection.
3. With the PI-controller settings fixed, find the stability range
of the P-controller gain using direct substitution method.
4. Match the following control test to the response curves given in
the following figure (eg. I – A, II – B, III – C, IV – D)
The following figure shows a cascade control system...
Answer Question B-3-13 above with the instructions listed B-3-13. Consider the system shown in Figure 3-42. An armature...
Answer Question B-3-13 above with the instructions listed
B-3-13. Consider the system shown in Figure 3-42. An armature-controlled dc servomotor drives a load consisting of the moment of inertia Ji. The torque developed by the motor is T.The moment of inertia of the motor rotor is J. The angular displacements of the motor rotor and the load er circuit Eo(s)/E(s) of the element are 0 and 0, respectively. The gear ratio is n 0/0m. Obtain the transfer function O(s)/E(s) L...
Q11 (20pts.): For the circuit shown below Derive the transfer function, H(s) assuming the OPAMP's transfer...
Q11 (20pts.): For the circuit shown below Derive the transfer function, H(s) assuming the OPAMP's transfer function is. If you like you can assumeA 106 Plot the bode plot of H(s) Derive the time domain step response. Plot the time domain step response This is a tricky problem! The LTspice file can be found here. .tran 2 V1 U1 out V2 R1 R2 in V3 1k 10k PULSE(-5 50 1102)
1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a....
1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using elimination method, for x(s), and y(s). b. Apply inverse-Laplace transform (L:'T) to the system of s-functions, then solve for x(t), and y(t)
1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using...
L Consider the circuit shown below by Using the traar fanction found in pat (ak derive an cxpress...
L Consider the circuit shown below by Using the traar fanction found in pat (ak derive an cxpression for the ow c) Using circuit analysis, derive an epssio o te lorw-froquency gain a, Aun (5 pts (d) Using the transfer fatile fundi.~ส6aa.deme an epression fr the hi froguency gain, (5p) e) Using cecuit analysis, derive an expssion o te high-frogency ga,A (5 pts) Expeess A (s) in the following o Find an exprossion for Aan ande (30pes For parig,through h@aunetha...
Express the function below using window and step functions and compute its Laplace transform. 0, 0<t<3...
Express the function below using window and step functions and compute its Laplace transform. 0, 0<t<3 2, 3<t<5 g(t) = 6, 5<t<8 4, 8<t Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Express g(t) using window and step functions. Choose the correct answer below. O A. g(t) = 2ut - 3) + 6(t-5) + 4u(t-8) B. g(t) = 2113,5(t) + 6115,8(t) + 4u(t-8) O c. g(t) = 2113,5(t)...
please show steps For the system shown in the figure. a. Find the transfer function 0,(s)/T(S)....
please show steps
For the system shown in the figure. a. Find the transfer function 0,(s)/T(S). b. Find the damping Dyo yield a 20% gvershoot in output angular displacement for a step torque input. N =25 kg-r W3 10 N2=5 D N-m/rad N4 5 0000
For the system shown in the figure. a. Find the transfer function 0,(s)/T(S). b. Find the damping Dyo yield a 20% gvershoot in output angular displacement for a step torque input. N =25 kg-r W3...
43 Questions 1. Using Figure 4-2, determine the electrical relationship characterizing a standard DC motor. Express...
43 Questions 1. Using Figure 4-2, determine the electrical relationship characterizing a standard DC motor. Express the relationship in the Laplace domain. L. i,o, M ry Figure 4-2 DC Motor Electric Circuit 2. Determine and evaluate the motor electrical time constant, τ.. This is done by assuming that the shaft is stationary. You can find the parameters of the motor in Table B-1. 3. Assume τ. is negligible and simplify the motor electrical relationship determined in question 1. What is...
Derive following basic functions using the definition of
Laplace transform.
(e) L{cos kt) = 5 +k S
(30 pts) A D.C. motor is shown below, where the inductance L and the resistance R model the armature circuit. The voltage Vb represents the back-emf which is proportional to dθ/dt via K. The torque T generated by the motor is proportional to the i via a constant K. The inertia J represents the combined inertia of the motor and load. The viscous friction acting on the output shaft is B 1. pur voltaop a. A. (10 pts) Find the...
1. For Kc = 1, derive the overall transfer function
for set-point tracking.
2. For Kc = 1, derive the overall transfer function for disturbance
rejection.
3. With the PI-controller settings fixed, find the stability range
of the P-controller gain using direct substitution method.
4. Match the following control test to the response curves given in
the following figure (eg. I – A, II – B, III – C, IV – D)
The following figure shows a cascade control system...
Answer Question B-3-13 above with the instructions listed
B-3-13. Consider the system shown in Figure 3-42. An armature-controlled dc servomotor drives a load consisting of the moment of inertia Ji. The torque developed by the motor is T.The moment of inertia of the motor rotor is J. The angular displacements of the motor rotor and the load er circuit Eo(s)/E(s) of the element are 0 and 0, respectively. The gear ratio is n 0/0m. Obtain the transfer function O(s)/E(s) L...
Q11 (20pts.): For the circuit shown below Derive the transfer function, H(s) assuming the OPAMP's transfer function is. If you like you can assumeA 106 Plot the bode plot of H(s) Derive the time domain step response. Plot the time domain step response This is a tricky problem! The LTspice file can be found here. .tran 2 V1 U1 out V2 R1 R2 in V3 1k 10k PULSE(-5 50 1102)
1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using elimination method, for x(s), and y(s). b. Apply inverse-Laplace transform (L:'T) to the system of s-functions, then solve for x(t), and y(t)
1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using...
L Consider the circuit shown below by Using the traar fanction found in pat (ak derive an cxpression for the ow c) Using circuit analysis, derive an epssio o te lorw-froquency gain a, Aun (5 pts (d) Using the transfer fatile fundi.~ส6aa.deme an epression fr the hi froguency gain, (5p) e) Using cecuit analysis, derive an expssion o te high-frogency ga,A (5 pts) Expeess A (s) in the following o Find an exprossion for Aan ande (30pes For parig,through h@aunetha...
Express the function below using window and step functions and compute its Laplace transform. 0, 0<t<3 2, 3<t<5 g(t) = 6, 5<t<8 4, 8<t Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Express g(t) using window and step functions. Choose the correct answer below. O A. g(t) = 2ut - 3) + 6(t-5) + 4u(t-8) B. g(t) = 2113,5(t) + 6115,8(t) + 4u(t-8) O c. g(t) = 2113,5(t)...
please show steps
For the system shown in the figure. a. Find the transfer function 0,(s)/T(S). b. Find the damping Dyo yield a 20% gvershoot in output angular displacement for a step torque input. N =25 kg-r W3 10 N2=5 D N-m/rad N4 5 0000
For the system shown in the figure. a. Find the transfer function 0,(s)/T(S). b. Find the damping Dyo yield a 20% gvershoot in output angular displacement for a step torque input. N =25 kg-r W3...
43 Questions 1. Using Figure 4-2, determine the electrical relationship characterizing a standard DC motor. Express the relationship in the Laplace domain. L. i,o, M ry Figure 4-2 DC Motor Electric Circuit 2. Determine and evaluate the motor electrical time constant, τ.. This is done by assuming that the shaft is stationary. You can find the parameters of the motor in Table B-1. 3. Assume τ. is negligible and simplify the motor electrical relationship determined in question 1. What is...
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