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Q2. (a)Figure Q2(a) shows the block diagram of a system network. Determine the (7 marks) closed-loop...
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) -...
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) - under the control of a lead compensator (a) Using the Routh's stability criterion, determine the conditions on k and a so that the closed-loop system is stable, and sketch the region on the (k, a)- plane where the conditions are satisfied. Hence, determine the minimum value of k for the lead compensator to be a feasible stabilizing controller. (10 marks) (b) Suppose α-2. Given...
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.
Q2 (a) Consider the control system shown in Figure Q1 (a). Obtain the closed-loop transfer function...
Q2 (a) Consider the control system shown in Figure Q1 (a). Obtain the closed-loop transfer function of this system and by using MATLAB obtain the unit step response of this closed loop system - R(S) c(s) 36+1) (s + 1) Figure Q2 (a) (b) A sampler and a zero-order hold element were inserted into the system in Figure Q1(a) as shown in Figure Q1(b). Obtain the closed-loop pulse transfer function of this system and by using MATLAB or otherwise, obtain...
1. Simplify the block diagram shown in the figure below. Then, obtain the closed-loop transfer function...
1. Simplify the block diagram shown in the figure below. Then, obtain the closed-loop transfer function C(s) /R(s). Hi R(s) G1 Gix 1 C(s) H2 H3
C(8) for the system shown in Figure 1. R(S Find the equivalent transfer function, Geg (s)...
C(8) for the system shown in Figure 1. R(S Find the equivalent transfer function, Geg (s) 1 Cix) Figure 1. Block diagram 2s+1 s(5s+6Ge(s) = and Figure 2 shows a closed-loop transfer function, where G(s) 2. proper H(s) K+s. Find the overall closed-loop transfer function and express is as rational function. C(s) Ea (s) Controller R(s) +/ Plant G(s) Ge (s) Feedback H(s) Figure 2. Closed loop transfer function Construct the actuation Error Transfer Function associated with the system shown...
Question 3 a) Reduce the block diagram in Figure 3 to a single block with the...
Question 3 a) Reduce the block diagram in Figure 3 to a single block with the overall tra (10 marks) function. H2(s) Figure 3: A block diagram comprising multiple subsystems and controllers b) For the system in Figure 4, assume that the plant has the following transfer function: If the controller in Figure 4 is proportional-only, determine the following: (2 marks) i) The system type. i) The steady-state error, es, if the reference signal, R(s) is a unit step input....
Problem 2. (40 points) The following figure shows the block diagram of a feedback closed loop...
Problem 2. (40 points) The following figure shows the block diagram of a feedback closed loop control system. Ysp(s) - Es) | U(s) Y(s) S +5 1 Ge(s) Q"46:0) " ** 52_1 (a) Find the range of controller settings that yield stable closed-loop system for: (i) A proportional-only (P) controller. (ii) A proportional-integral (PI) controller. (b) For the PI control, modify the block diagram to eliminate proportional kick.
Q2. The figure shows a hydraulic control system (Fluid system). 9. Equations of Tank: qi(t) =...
Q2. The figure shows a hydraulic control system (Fluid system). 9. Equations of Tank: qi(t) = Pi +Vx(t), qi(t) = Ah' (t) + 4o(t) , 4o(t) = n(t)/R Given: ico) = 10 C, R, = 3 ses A = 2 m3 , Vx(t) = -K;h(t) sec ! c) yss a). Block diagram (close loop) d) ts (tolerance 2%). b) Find the transfer function e) Error steady state ess Qi(s) f) yo
2. Determine the closed-loop transfer function Y (using Signal Flow Graphs or Block U(s) Diagram Transformations)...
2. Determine the closed-loop transfer function Y (using Signal Flow Graphs or Block U(s) Diagram Transformations) for the system shown in Figure 2 U(s) Y (s) 0 do
4 (a) Based on the block diagram for a control system (Figure Q4(a) below) determine the...
4 (a) Based on the block diagram for a control system (Figure Q4(a) below) determine the transfer function between the error and the set point, E(s)/R(s) (8 marks) R(s)+ c(p) m(s) Figure Q4(a) Figure Q4(b) below shows two different control strategies for a continuous stirred tank reactor (CSTR). The reaction A → B is exothermic and the heat generated is removed by the coolant flowing through the jacket. It is assumed the flowrate of the reactor feed is fixed. Two...
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) - under the control of a lead compensator (a) Using the Routh's stability criterion, determine the conditions on k and a so that the closed-loop system is stable, and sketch the region on the (k, a)- plane where the conditions are satisfied. Hence, determine the minimum value of k for the lead compensator to be a feasible stabilizing controller. (10 marks) (b) Suppose α-2. Given...
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.
Q2 (a) Consider the control system shown in Figure Q1 (a). Obtain the closed-loop transfer function of this system and by using MATLAB obtain the unit step response of this closed loop system - R(S) c(s) 36+1) (s + 1) Figure Q2 (a) (b) A sampler and a zero-order hold element were inserted into the system in Figure Q1(a) as shown in Figure Q1(b). Obtain the closed-loop pulse transfer function of this system and by using MATLAB or otherwise, obtain...
1. Simplify the block diagram shown in the figure below. Then, obtain the closed-loop transfer function C(s) /R(s). Hi R(s) G1 Gix 1 C(s) H2 H3
C(8) for the system shown in Figure 1. R(S Find the equivalent transfer function, Geg (s) 1 Cix) Figure 1. Block diagram 2s+1 s(5s+6Ge(s) = and Figure 2 shows a closed-loop transfer function, where G(s) 2. proper H(s) K+s. Find the overall closed-loop transfer function and express is as rational function. C(s) Ea (s) Controller R(s) +/ Plant G(s) Ge (s) Feedback H(s) Figure 2. Closed loop transfer function Construct the actuation Error Transfer Function associated with the system shown...
Question 3 a) Reduce the block diagram in Figure 3 to a single block with the overall tra (10 marks) function. H2(s) Figure 3: A block diagram comprising multiple subsystems and controllers b) For the system in Figure 4, assume that the plant has the following transfer function: If the controller in Figure 4 is proportional-only, determine the following: (2 marks) i) The system type. i) The steady-state error, es, if the reference signal, R(s) is a unit step input....
Problem 2. (40 points) The following figure shows the block diagram of a feedback closed loop control system. Ysp(s) - Es) | U(s) Y(s) S +5 1 Ge(s) Q"46:0) " ** 52_1 (a) Find the range of controller settings that yield stable closed-loop system for: (i) A proportional-only (P) controller. (ii) A proportional-integral (PI) controller. (b) For the PI control, modify the block diagram to eliminate proportional kick.
Q2. The figure shows a hydraulic control system (Fluid system). 9. Equations of Tank: qi(t) = Pi +Vx(t), qi(t) = Ah' (t) + 4o(t) , 4o(t) = n(t)/R Given: ico) = 10 C, R, = 3 ses A = 2 m3 , Vx(t) = -K;h(t) sec ! c) yss a). Block diagram (close loop) d) ts (tolerance 2%). b) Find the transfer function e) Error steady state ess Qi(s) f) yo
2. Determine the closed-loop transfer function Y (using Signal Flow Graphs or Block U(s) Diagram Transformations) for the system shown in Figure 2 U(s) Y (s) 0 do
4 (a) Based on the block diagram for a control system (Figure Q4(a) below) determine the transfer function between the error and the set point, E(s)/R(s) (8 marks) R(s)+ c(p) m(s) Figure Q4(a) Figure Q4(b) below shows two different control strategies for a continuous stirred tank reactor (CSTR). The reaction A → B is exothermic and the heat generated is removed by the coolant flowing through the jacket. It is assumed the flowrate of the reactor feed is fixed. Two...
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