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(5 marks) For the followving electrical system shown in Figure 3. a) Derive the mathematical mode...
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...
C- A physical system consists of two parts (electrical and rotational mechanical) shown in Fig.1. It...
C- A physical system consists of two parts (electrical and rotational mechanical) shown in Fig.1. It d0 has the following relations. K3w, friction coefficient b , TL =KiI, eb = K2w, w= dt i-Find a mathematical model and Laplace model? (2) ii- Draw a control block diagram and find e(S)/E(S)? L (5) Ro) Es ww S) He "L Fig.2 Fig.1
C- A physical system consists of two parts (electrical and rotational mechanical) shown in Fig.1. It d0 has the following...
Question 3 (35 marks) Consider a mechanical system shown in Figure 3. The system is at rest for t
Question 3 (35 marks) Consider a mechanical system shown in Figure 3. The system is at rest for t<0. The input force f is applied at 0. The displacement x is the output of the system and is measured from the equilibrium position. kI b2 bi it Figure 3. Schematic of a mechanical system. (a) Obtain the traf) (10 marks) X (s) F(s) (b) Use of force-voltage analogy, obtain the equations for an electrical system (5 marks) (c) Draw a...
5. A block diagram of a control system is shown in Figure 3. [10 marks] (a)...
5. A block diagram of a control system is shown in Figure 3. [10 marks] (a) Find the transfer function of the control system. (b) Assign three poles of the system to -6, -8 and -7 by using time domain full-state feedback control design techniques. 10 marks] 10 15
03. (a) Consider the block diagram shown in Figure 3.1, and assume G(s)= 3. G,(s) and...
03. (a) Consider the block diagram shown in Figure 3.1, and assume G(s)= 3. G,(s) and G,(s) 5+2 Y(s) R(S) G,() Gy(s) G;(s) Figure 3.1 3 (0) Y(s) Derive the system transfer function H(s)= of the system. Plot the R(s) poles and zeros of H(s) in the complex s-plane. State whether the system is stable or not stable, and why. [10 marks) (11) Obtain the impulse response of the system, that is ylt) for r(t)= 8(t). Evaluate the final value...
4- For the electrical system given in the figure: (a) Derive the equations of motion (b)...
4- For the electrical system given in the figure: (a) Derive the equations of motion (b) Draw the equivalent Signal Flow Diagram (c) Using the Signal Flow Diagram obtain V./Vout R2 Ri out() Us(1) C)
Q4. (a) Reduce the block diagram shown in Figure Q4a to a single mathematical expression suitable for implementation in MATLAB. Each letter represents a transfer function in the s-domain. (...
Q4. (a) Reduce the block diagram shown in Figure Q4a to a single mathematical expression suitable for implementation in MATLAB. Each letter represents a transfer function in the s-domain. (10) G1 G2 G3 G4 G5 G6 Figure Q4a (b) Describe the process of generating the Nyquist plot. (c) Discuss how you would investigate the stability of a control system using the Nyquist plot and gain and phase margins of stability. (7) Q4 Total Marks [25] educe the block diagram shown...
Question 4 A control system is shown in Figure 3, where Ge(s) is the controller, R(s)...
Question 4 A control system is shown in Figure 3, where Ge(s) is the controller, R(s) is the setpoint temperature, Tw is the measured water temperature, Ta is the ambient temperature and u(t) is the rate of heat supplied to the heater. The mathematical model of a simple thermal system consisting of an insulated tank of water is given by: dTW = c(1, - Iw) +u dt where c is the heat insulation coefficient. Heater Water R(s) Ta Gc/s) u(1)...
PROBLEMS B-2-1. Simplify the block diagram shown in Figure 2-29 and obtain the closed-loop transfer function...
PROBLEMS B-2-1. Simplify the block diagram shown in Figure 2-29 and obtain the closed-loop transfer function C(s)/RS). B-2-2. Simplify the block diagram shown in Figure 2-30 and obtain the closed-loop transfer function C(s)/R(s). B-2-3. Simplify the block diagram shown in Figure 2-31 and obtain the closed-loop transfer function C(s)/R(S). G1 R(S) CS) Figure 2-29 Block diagram of a system. Figure 2-30 Block diagram of a system. Figure 2-31 Block diagram of a system.
thx!!!! Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in...
thx!!!!
Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in Figure 1. What is the value of the steady state gain(s), if any? b) If R1 1, R2 = 2n, C\ = 2- 10-3F, C 1-10-3F, calculate the time constants of the system (if any). c) Find the initial and final values of the unit impulse response of the circuit d) Derive the time-domain expression of the output if the input is the function...
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...
C- A physical system consists of two parts (electrical and rotational mechanical) shown in Fig.1. It d0 has the following relations. K3w, friction coefficient b , TL =KiI, eb = K2w, w= dt i-Find a mathematical model and Laplace model? (2) ii- Draw a control block diagram and find e(S)/E(S)? L (5) Ro) Es ww S) He "L Fig.2 Fig.1
C- A physical system consists of two parts (electrical and rotational mechanical) shown in Fig.1. It d0 has the following...
Question 3 (35 marks) Consider a mechanical system shown in Figure 3. The system is at rest for t<0. The input force f is applied at 0. The displacement x is the output of the system and is measured from the equilibrium position. kI b2 bi it Figure 3. Schematic of a mechanical system. (a) Obtain the traf) (10 marks) X (s) F(s) (b) Use of force-voltage analogy, obtain the equations for an electrical system (5 marks) (c) Draw a...
5. A block diagram of a control system is shown in Figure 3. [10 marks] (a) Find the transfer function of the control system. (b) Assign three poles of the system to -6, -8 and -7 by using time domain full-state feedback control design techniques. 10 marks] 10 15
03. (a) Consider the block diagram shown in Figure 3.1, and assume G(s)= 3. G,(s) and G,(s) 5+2 Y(s) R(S) G,() Gy(s) G;(s) Figure 3.1 3 (0) Y(s) Derive the system transfer function H(s)= of the system. Plot the R(s) poles and zeros of H(s) in the complex s-plane. State whether the system is stable or not stable, and why. [10 marks) (11) Obtain the impulse response of the system, that is ylt) for r(t)= 8(t). Evaluate the final value...
4- For the electrical system given in the figure: (a) Derive the equations of motion (b) Draw the equivalent Signal Flow Diagram (c) Using the Signal Flow Diagram obtain V./Vout R2 Ri out() Us(1) C)
Q4. (a) Reduce the block diagram shown in Figure Q4a to a single mathematical expression suitable for implementation in MATLAB. Each letter represents a transfer function in the s-domain. (10) G1 G2 G3 G4 G5 G6 Figure Q4a (b) Describe the process of generating the Nyquist plot. (c) Discuss how you would investigate the stability of a control system using the Nyquist plot and gain and phase margins of stability. (7) Q4 Total Marks [25] educe the block diagram shown...
Question 4 A control system is shown in Figure 3, where Ge(s) is the controller, R(s) is the setpoint temperature, Tw is the measured water temperature, Ta is the ambient temperature and u(t) is the rate of heat supplied to the heater. The mathematical model of a simple thermal system consisting of an insulated tank of water is given by: dTW = c(1, - Iw) +u dt where c is the heat insulation coefficient. Heater Water R(s) Ta Gc/s) u(1)...
PROBLEMS B-2-1. Simplify the block diagram shown in Figure 2-29 and obtain the closed-loop transfer function C(s)/RS). B-2-2. Simplify the block diagram shown in Figure 2-30 and obtain the closed-loop transfer function C(s)/R(s). B-2-3. Simplify the block diagram shown in Figure 2-31 and obtain the closed-loop transfer function C(s)/R(S). G1 R(S) CS) Figure 2-29 Block diagram of a system. Figure 2-30 Block diagram of a system. Figure 2-31 Block diagram of a system.
thx!!!!
Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in Figure 1. What is the value of the steady state gain(s), if any? b) If R1 1, R2 = 2n, C\ = 2- 10-3F, C 1-10-3F, calculate the time constants of the system (if any). c) Find the initial and final values of the unit impulse response of the circuit d) Derive the time-domain expression of the output if the input is the function...
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