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)
Homework Answers
Request Answer!
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Add Answer to:
1. For Kc = 1, derive the overall transfer function
for set-point tracking.
2. For Kc...
Consider the liquid level control system given in the figure. The values with overbar denote stea...
Consider the liquid level control system given in the figure. The values with overbar denote steady state values. Draw a block diagram of the system assuming that the changes in the variables are small. Then derive the transfer function between the level of second tank h2 and the disturbance input qd 5. x(t) Lever Valve: q.-Kx Tank 1 O+q oa Tank 2
Consider the liquid level control system given in the figure. The values with overbar denote steady state values....
Consider a unity-feedback control system with a PI controller Gpr(s) and a plant G(s) in cascade. In particular, the plant transfer function is given as 2. G(s) = s+4, and the PI controller trans...
Consider a unity-feedback control system with a PI controller Gpr(s) and a plant G(s) in cascade. In particular, the plant transfer function is given as 2. G(s) = s+4, and the PI controller transfer function is of the forrm KI p and Ki are the proportional and integral controller gains, respectively where K Design numerical values for Kp and Ki such that the closed-loop control system has a step- response settling time T, 0.5 seconds with a damping ratio of...
A second-order process is described by its transfer function G(s) = (s+1)(843) and a PI controlle...
A second-order process is described by its transfer function G(s) = (s+1)(843) and a PI controller by Consider feedback control with unit feedback gain as shown in Figure 1 A disturbance D(s) exists, and to achieve zero steady-state error, a small integral component is applied. Technical limitations restrict the controller gain kp to values of 0.2 or less. The goal is to examine the influence of the controller parameter k on the dynamic response. D(s) Controller Process X(s) Y(s) Figure...
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...
The set-point of the control system under proportional control (Kc-2) undergoes a step change of ...
The set-point of the control system under proportional control (Kc-2) undergoes a step change of magnitude 6. For the following transfer functions 3s2 3s+1 Deterine: a) y(t) as a function of time b) The maximum value of y and the time at which it occurs d) The period of oscillation
The set-point of the control system under proportional control (Kc-2) undergoes a step change of magnitude 6. For the following transfer functions 3s2 3s+1 Deterine: a) y(t) as a function...
A second-o rder process is described by its transfer function (s) = and a PI controller...
A second-o rder process is described by its transfer function (s) = and a PI controller by kI Consider feedback control with unit feedback gain as shown in Figure 1 A disturbance D(s) exists, and to achieve zero steady-state error, a small integral component is applied. Technical limitations restrict the controller gain kp to values of 0.2 or less. The goal is to examine the influence of the controller parameter kr on the dynamic response. D(s) Controller Process X(s) Y(s)...
show steps please 10 A second-order open-loop system with transfer function G(s) = is to be...
show steps please
10 A second-order open-loop system with transfer function G(s) = is to be $2+45+10 controlled with unity negative feedback. (a) Derive the error transfer functions E(s) of the closed-loop system subjected to a unit step input, when using a P controller and a PI controller, respectively, in terms P control gain kp, and PI control gains kp and ki, respectively. [7] (b) Determine the steady-state errors in (a). Briefly comment on the differences in control performance by...
Question A1 A single tank process has first order dynamics. When the inlet flow rate is...
Question A1 A single tank process has first order dynamics. When the inlet flow rate is chosen as the input and the level as the output, the transfer function is as follows. 5 G(s) - H(s) 2. (S) S +1 91(t) h(t) *7 q:(0) q2(t) Fig. Q.Al schematic of the liquid level process (a) Determine the system constant t and steady state gain K. [6 marks] (b) For a unit step input q, (t) = 1(1), determine the time response...
Q1. Determine the solution of x(t). 4x + 20% +36x = 0 Where x(0) = 2...
Q1. Determine the solution of x(t). 4x + 20% +36x = 0 Where x(0) = 2 m, 8(0) = 1 m/s Q1. Mass M is lifted by a pulley system as shown in Figure 1. The pulley is rotating in a clockwise direction. Assuming zero initial conditions, obtain transfer function of the system, X(s)/Ta(s). Τα S B X м k Figure 1 Consider the liquid level system shown in Figure 1. At steady state, the inflow rate and outflow rate...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
Consider the liquid level control system given in the figure. The values with overbar denote steady state values. Draw a block diagram of the system assuming that the changes in the variables are small. Then derive the transfer function between the level of second tank h2 and the disturbance input qd 5. x(t) Lever Valve: q.-Kx Tank 1 O+q oa Tank 2
Consider the liquid level control system given in the figure. The values with overbar denote steady state values....
Consider a unity-feedback control system with a PI controller Gpr(s) and a plant G(s) in cascade. In particular, the plant transfer function is given as 2. G(s) = s+4, and the PI controller transfer function is of the forrm KI p and Ki are the proportional and integral controller gains, respectively where K Design numerical values for Kp and Ki such that the closed-loop control system has a step- response settling time T, 0.5 seconds with a damping ratio of...
A second-order process is described by its transfer function G(s) = (s+1)(843) and a PI controller by Consider feedback control with unit feedback gain as shown in Figure 1 A disturbance D(s) exists, and to achieve zero steady-state error, a small integral component is applied. Technical limitations restrict the controller gain kp to values of 0.2 or less. The goal is to examine the influence of the controller parameter k on the dynamic response. D(s) Controller Process X(s) Y(s) Figure...
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...
The set-point of the control system under proportional control (Kc-2) undergoes a step change of magnitude 6. For the following transfer functions 3s2 3s+1 Deterine: a) y(t) as a function of time b) The maximum value of y and the time at which it occurs d) The period of oscillation
The set-point of the control system under proportional control (Kc-2) undergoes a step change of magnitude 6. For the following transfer functions 3s2 3s+1 Deterine: a) y(t) as a function...
A second-o rder process is described by its transfer function (s) = and a PI controller by kI Consider feedback control with unit feedback gain as shown in Figure 1 A disturbance D(s) exists, and to achieve zero steady-state error, a small integral component is applied. Technical limitations restrict the controller gain kp to values of 0.2 or less. The goal is to examine the influence of the controller parameter kr on the dynamic response. D(s) Controller Process X(s) Y(s)...
show steps please
10 A second-order open-loop system with transfer function G(s) = is to be $2+45+10 controlled with unity negative feedback. (a) Derive the error transfer functions E(s) of the closed-loop system subjected to a unit step input, when using a P controller and a PI controller, respectively, in terms P control gain kp, and PI control gains kp and ki, respectively. [7] (b) Determine the steady-state errors in (a). Briefly comment on the differences in control performance by...
Question A1 A single tank process has first order dynamics. When the inlet flow rate is chosen as the input and the level as the output, the transfer function is as follows. 5 G(s) - H(s) 2. (S) S +1 91(t) h(t) *7 q:(0) q2(t) Fig. Q.Al schematic of the liquid level process (a) Determine the system constant t and steady state gain K. [6 marks] (b) For a unit step input q, (t) = 1(1), determine the time response...
Q1. Determine the solution of x(t). 4x + 20% +36x = 0 Where x(0) = 2 m, 8(0) = 1 m/s Q1. Mass M is lifted by a pulley system as shown in Figure 1. The pulley is rotating in a clockwise direction. Assuming zero initial conditions, obtain transfer function of the system, X(s)/Ta(s). Τα S B X м k Figure 1 Consider the liquid level system shown in Figure 1. At steady state, the inflow rate and outflow rate...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
Most questions answered within 3 hours.
-
(EPS with
Convertible Bonds) On June 1, 2012, Bluhm Company and
Amanar Company merged to form...
asked 18 seconds ago -
The velocity field of a flow is given by V = (2+1) x
y2 i +...
asked 2 minutes ago -
2. Discuss why the study exemplifies one that agrees with The
American Psychological Association’s (APA) Ethical...
asked 4 minutes ago -
Without considering the following capital gains and losses,
Charlene, who is single, has a taxable income...
asked 11 minutes ago -
1a. The __________ functional group often triggers our sense of
smell.
1b. The geometry around a...
asked 24 minutes ago -
A uniform plank of length 2.00 m and mass 34.0 kg is supported
by three ropes,...
asked 25 minutes ago -
Suppose a floor on a hospital has 12 physicians at any given
time. You are brought...
asked 39 minutes ago -
Compartmentalization
in eukaryotic cells facilitates chemical reactions happening faster
due to... Select all
Substrates needed for...
asked 26 minutes ago -
The deltaH for the solution process when solid sodium
hydroxide dissolves in water is 44.4 kJ/mol....
asked 29 minutes ago -
a. Discuss the reciprocal/opposite “hormonal” regulation of the
most highly regulated steps of these two pathways....
asked 47 minutes ago -
Members of unions had mounted campaigns to persuade customers
not to shop at a company because...
asked 48 minutes ago -
Why is the alpha carboxyl group pka value 2 ?
And why is an alpha amino...
asked 57 minutes ago