![a) The Figure below shows the block diagram of the temperature control system, where Gi(s) is a PI controller transfer function, G2(s) is the fermentation process transfer function 2C320s 1 i) Derive the closed-loop transfer function between R(s) and C(s) ii) Calculate the steady state error when the input R(s) - 37 15] R(s) + C(s) Gi(s) G2(s) b) Consider the fed-batch fermentation process used to produce a thera- peutic protein expressed in E. coli. The fermentation temperature set point is 37 °C and the tolerance is t0.5 °C. The fermentation process transfer function is G(s) 05+I When the fermenter sterilisation has been completed, the temperature needs to be reduced from 121 °C to 37 °C. A PI controller has beein designed with K-16 and Ti-10 Evaluate if the controller can reduce the temperature from 121 °C to desired 37 °C (steady state) within 20 minutes If the working volume of the fermenter is increased or decreased, what impact will there be on the response time? i) [20] ii) [10]](http://img.homeworklib.com/questions/0a3eac20-bffa-11ea-b33f-77762c334db0.png?x-oss-process=image/resize,w_560)
Please help me with part A and B(i)
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Please help me with part A and B(i)
a) The Figure below shows the block diagram...
4. Consider the block diagram shown below where D(s) is a step disturbance input. D(s) Controller...
4. Consider the block diagram shown below where D(s) is a step disturbance input. D(s) Controller Plant R(s) + E(s) C(s) G2(s) Ideally you want your controller design to reject a step disturbance input at D(s). This means that in the steady state for D(s)-1, the value of Y(s) is unchanged (a) Ignoring the input R(s), what is the transfer function器in terms of Gi(s) and G2(s)? (b) For G1(s)Ks 2) and G2(s)0419 what is the steady state error resulting from...
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....
Reduce the block diagram below to a single block representing the transfer function T(S) C(s) R(S)...
Reduce the block diagram below to a single block representing the transfer function T(S) C(s) R(S) H3(s) Hl(s) R(s) + C(s) Gi(s) G2(s) G3(s) Hz(s) H4(s)
In the block diagram of the feedback control system shown in figure below, Gp(s) is the...
In the block diagram of the feedback control system shown in figure below, Gp(s) is the transfer function of a process, R(s) is reference input, and A(s) and H(s) represent controllers. N(S) R(s) Gp(s) Process A(s) H(s) = _100_ , and H(s)-1 / GAS). Let Gs)-A(S)5.and Find the steady state value of the response C(t), when N(t) = R(t) = unit-step function. Is this also the maximum value attained by the response? Justify your answers. (s2+2s+4)
The figure below shows a block diagram of a feedback system. Both cascade clutch and forward...
The figure below shows a block diagram of a feedback system.
Both cascade clutch and forward clutch are used to obtain the best
possible control. G1 and G2 have the following transfer functions:
G1(s) = 8 / 1+5s , G2(s)= 7/ 1+10s
a) Suppose that a (t) = σ (t) or A (s) = 1 / s. Dimension Gr1 =
K so that the residual error s e in the inner loop from A (s) to B
(s) becomes less...
QI. The block diagram representing a mechanical system is shown in Figure 1(a). The desired set...
QI. The block diagram representing a mechanical system is shown in Figure 1(a). The desired set point to controllers is r(t) = 50. The system vibrates as shown in Figure 1(b). (1) Find the transfer function of C(s) /R(s) by reducing the block diagram (in) Determine the value of a and b (ii) Find the steady state error of the system Figure 1(a) Time (seconds) Figure 1(b) ANSWER Transfer function, 0.12b +0.12 0.12as +012bs + 0.125 + 1 () Mp....
Consider the unity-feedback system shown below: R(s) E(s) input: r(t), output: y(t) C(s) P(s) error: e()...
Consider the unity-feedback system shown below: R(s) E(s) input: r(t), output: y(t) C(s) P(s) error: e() r(t) y(t) closed-loop transfer-function: Hyr(sD t the closed-loop transfer-function be Hyr(s) Y (s) R(s) Let the transfer-function of the plant be P(s) 10 s (s 1) (s 5) The open-loop transfer-function is G(s) P(s) C(s) DESIGN OBJECTIVES: Find a controller C(s) such that the following are satisfied i) The closed-loop system is stable. ii) The steady-state error ess due to a unit-ramp input r(t)...
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
The figure for 4-52 is the image below. Solve problem B-4-10. Then answer the following: 1. If the head h is the input...
The figure for 4-52 is the image below.
Solve problem B-4-10. Then answer the following: 1. If the head h is the input to the hydraulic controller and the output from the controller is y, derive the transfer function of the controller? 2. What is the control action of this controller? Screen Shot 2019-06-03 at 10.49.13 PM Q Search B-4-10. Consider the liquid-level control Figure 4-52. The inlet valve is controlled by a hydraulic integral controller. Assume that the steady-state...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants T1 = 2, T2 = 10, and gain k = 0.1. 4 673 +1679+1) (1.) Sketch the pole-zero plot for G(s). Is one of the poles more dominant? Using MATLAB, simulate the step response of the plant itself, along with G1(s) and G2(s) as defined by Gl(s) = and G2(s) = sti + 1 ST2+1 (2.) Design a proportional gain C(s) = K so...
4. Consider the block diagram shown below where D(s) is a step disturbance input. D(s) Controller Plant R(s) + E(s) C(s) G2(s) Ideally you want your controller design to reject a step disturbance input at D(s). This means that in the steady state for D(s)-1, the value of Y(s) is unchanged (a) Ignoring the input R(s), what is the transfer function器in terms of Gi(s) and G2(s)? (b) For G1(s)Ks 2) and G2(s)0419 what is the steady state error resulting from...
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....
Reduce the block diagram below to a single block representing the transfer function T(S) C(s) R(S) H3(s) Hl(s) R(s) + C(s) Gi(s) G2(s) G3(s) Hz(s) H4(s)
In the block diagram of the feedback control system shown in figure below, Gp(s) is the transfer function of a process, R(s) is reference input, and A(s) and H(s) represent controllers. N(S) R(s) Gp(s) Process A(s) H(s) = _100_ , and H(s)-1 / GAS). Let Gs)-A(S)5.and Find the steady state value of the response C(t), when N(t) = R(t) = unit-step function. Is this also the maximum value attained by the response? Justify your answers. (s2+2s+4)
The figure below shows a block diagram of a feedback system.
Both cascade clutch and forward clutch are used to obtain the best
possible control. G1 and G2 have the following transfer functions:
G1(s) = 8 / 1+5s , G2(s)= 7/ 1+10s
a) Suppose that a (t) = σ (t) or A (s) = 1 / s. Dimension Gr1 =
K so that the residual error s e in the inner loop from A (s) to B
(s) becomes less...
QI. The block diagram representing a mechanical system is shown in Figure 1(a). The desired set point to controllers is r(t) = 50. The system vibrates as shown in Figure 1(b). (1) Find the transfer function of C(s) /R(s) by reducing the block diagram (in) Determine the value of a and b (ii) Find the steady state error of the system Figure 1(a) Time (seconds) Figure 1(b) ANSWER Transfer function, 0.12b +0.12 0.12as +012bs + 0.125 + 1 () Mp....
Consider the unity-feedback system shown below: R(s) E(s) input: r(t), output: y(t) C(s) P(s) error: e() r(t) y(t) closed-loop transfer-function: Hyr(sD t the closed-loop transfer-function be Hyr(s) Y (s) R(s) Let the transfer-function of the plant be P(s) 10 s (s 1) (s 5) The open-loop transfer-function is G(s) P(s) C(s) DESIGN OBJECTIVES: Find a controller C(s) such that the following are satisfied i) The closed-loop system is stable. ii) The steady-state error ess due to a unit-ramp input r(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
The figure for 4-52 is the image below.
Solve problem B-4-10. Then answer the following: 1. If the head h is the input to the hydraulic controller and the output from the controller is y, derive the transfer function of the controller? 2. What is the control action of this controller? Screen Shot 2019-06-03 at 10.49.13 PM Q Search B-4-10. Consider the liquid-level control Figure 4-52. The inlet valve is controlled by a hydraulic integral controller. Assume that the steady-state...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants T1 = 2, T2 = 10, and gain k = 0.1. 4 673 +1679+1) (1.) Sketch the pole-zero plot for G(s). Is one of the poles more dominant? Using MATLAB, simulate the step response of the plant itself, along with G1(s) and G2(s) as defined by Gl(s) = and G2(s) = sti + 1 ST2+1 (2.) Design a proportional gain C(s) = K so...
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