(1) What components should be included in a block diagram for a process control system? (2)...
(1) What components should be included in a block diagram for a process control system?
(2) What are the two common analog signal transmission standards?
(3) What does the transfer function of a system tell us?
(4) What are the common performance metrics used to evaluate a system?
(5) What is the difference between the response of a first-order system and a second-order system to a unit step change input?
(6) How to visually evaluate the quality of a transient response?
Homework Answers
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(1) What components should be included in a block diagram for a
process control system?
(2)...
control system System Description: The figure 1 and 2 below show, respectively, components and block diagram...
control system
System Description: The figure 1 and 2 below show, respectively, components and block diagram of a motor and the measurements of velocity (via the tacho unit) and position (via the potentiometer). n represents the gearbox ratio between the rotating shaft and the output shaft. The left-hand side of the diagram represents the controller. A reference set point for the rotating shaft is entered in degrees and this is equivalent voltage. The error is calculated by subtracting the measured...
Task: 4 (35 Marks) The block diagram representation of a CNC machine speed control system is...
Task: 4 (35 Marks) The block diagram representation of a CNC machine speed control system is shown in Figure 4 with the gain of K, and the feedback value of K2. R(s) + cls 100 1 + 0.2s G1=6.5 K1=14.5 K2=0.55 R=3 L=7 C=0.5 Figure 4 (i). Evaluate the closed loop transfer function of the CNC speed control system; (i). Estimate the value of time constant (T) and dc gain K for the CNC speed control system; Note: Each student...
Problem 1: Consider the block functional diagram of the satellite attitude control system shown in Figure...
Problem 1: Consider the block functional diagram of the satellite attitude control system shown in Figure (a), here below. The output of this system exhibits continued oscillations and is not desirable. This system can be improved by using a tachometer feedback. Ki, as shown in Figure (b). Assuming that = 4, using block diagram algebra and theory of time performance specifications for second order systems, please, compute: (1) the value of the gain K such that closed loop transfer function...
Consider the closed loop system defined by the following block diagram. a) Compute the transfer function...
Consider the closed loop system defined by the following block diagram. a) Compute the transfer function E(s)/R(s). b) Determine the steady state error for a unit-step 1. Controller ant Itly Ro- +- HI- 4단Toy , c) d) e) reference input signal. Determine the steady state error response for a unit-ramp reference input signal. Determine the locations of the closed loop poles of the system. Select system parameters kp and ki in terms of k so that damping coefficient V2/2 and...
Problem 1: Steady-state error analvsis (a) A block diagram of a feedback control system is given ...
The Class Name is: MAE 318 System Dynamics and Control I
Problem 1: Steady-state error analvsis (a) A block diagram of a feedback control system is given below. Assuming that the tunable constant Khas a value that makes this closed-loop system stable, find the steady-state error of the closed-loop system for (a a step reference input with amplitude R, r(t)- R u(t) (ii) a ramp reference input with slope R, r(t) = Rt-us(t) R(s) Y(s) (s+2)(s +5) (b) A block...
A unity feedback system with the forward transfer function G(s)=K/(s+1)(s+3)(s+6) is operating wi...
A unity feedback system with the forward transfer function
G(s)=K/(s+1)(s+3)(s+6) is operating with a closed-loop step
response that has 15% overshoot. Do the following:
a) Evaluate the steady-state error for a unit step input
b) Design a PI control to reduce the steady-state error to zero
without affecting its transient response
c) Evaluate the steady-state error and overshoot for a unit step
input to your compensated system
A unity feedback system with the forward transfer function G(s) is operating with...
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)
2. The block diagram below model a simple DC motor for speed control application. Input V(s)...
2. The block diagram below model a simple DC motor for speed control application. Input V(s) is the desired speed in voltage, and the output Y(s) is the actual speed. Tachogenerator, H, convert the actual speed to corresponding voltage. Amplifier Motor and gears X() 5 Ls +R Tachogenerator H The following parameters are known about the system: Amplifier gain: A=2; Motor inductance: L=5H Tachogenerator gain: H=0.15; Determine the following: The system transfer function The value of the motor resistance, R,...
Please answer all 3 questions! Thank you! 1). Calculate the control block flow diagram. Fi Ti...
Please answer all 3 questions! Thank you!
1). Calculate the control block flow diagram. Fi Ti CT ST 2). Calculate the Laplace equivalent of the following equations: where T is the output variable, A and B are constants and u, uz, and us are the deviations variables for the input temperature (Ti), input flow (Fi) and input heat flow (Q), respectively. where T is the output variable, A, B, and C are constants and u,, U2, and uj are the...
Tutorial -On PID control (Control System: Instructor slides and lab) Consider a second order mass...
part 2 & part 3 please...
Tutorial -On PID control (Control System: Instructor slides and lab) Consider a second order mass-force system to study its behavior under various forms of PID control xtn fon force In Disturbance force: 50) (i.e. wind force) Part I (dealing with the plant/process) 1. What is the model of this system, in other words, write the ODE of the system 2. Derive the transfer function of the above system from Fls) to X(s) 3. What...
control system
System Description: The figure 1 and 2 below show, respectively, components and block diagram of a motor and the measurements of velocity (via the tacho unit) and position (via the potentiometer). n represents the gearbox ratio between the rotating shaft and the output shaft. The left-hand side of the diagram represents the controller. A reference set point for the rotating shaft is entered in degrees and this is equivalent voltage. The error is calculated by subtracting the measured...
Task: 4 (35 Marks) The block diagram representation of a CNC machine speed control system is shown in Figure 4 with the gain of K, and the feedback value of K2. R(s) + cls 100 1 + 0.2s G1=6.5 K1=14.5 K2=0.55 R=3 L=7 C=0.5 Figure 4 (i). Evaluate the closed loop transfer function of the CNC speed control system; (i). Estimate the value of time constant (T) and dc gain K for the CNC speed control system; Note: Each student...
Problem 1: Consider the block functional diagram of the satellite attitude control system shown in Figure (a), here below. The output of this system exhibits continued oscillations and is not desirable. This system can be improved by using a tachometer feedback. Ki, as shown in Figure (b). Assuming that = 4, using block diagram algebra and theory of time performance specifications for second order systems, please, compute: (1) the value of the gain K such that closed loop transfer function...
Consider the closed loop system defined by the following block diagram. a) Compute the transfer function E(s)/R(s). b) Determine the steady state error for a unit-step 1. Controller ant Itly Ro- +- HI- 4단Toy , c) d) e) reference input signal. Determine the steady state error response for a unit-ramp reference input signal. Determine the locations of the closed loop poles of the system. Select system parameters kp and ki in terms of k so that damping coefficient V2/2 and...
The Class Name is: MAE 318 System Dynamics and Control I
Problem 1: Steady-state error analvsis (a) A block diagram of a feedback control system is given below. Assuming that the tunable constant Khas a value that makes this closed-loop system stable, find the steady-state error of the closed-loop system for (a a step reference input with amplitude R, r(t)- R u(t) (ii) a ramp reference input with slope R, r(t) = Rt-us(t) R(s) Y(s) (s+2)(s +5) (b) A block...
A unity feedback system with the forward transfer function
G(s)=K/(s+1)(s+3)(s+6) is operating with a closed-loop step
response that has 15% overshoot. Do the following:
a) Evaluate the steady-state error for a unit step input
b) Design a PI control to reduce the steady-state error to zero
without affecting its transient response
c) Evaluate the steady-state error and overshoot for a unit step
input to your compensated system
A unity feedback system with the forward transfer function G(s) is operating with...
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)
2. The block diagram below model a simple DC motor for speed control application. Input V(s) is the desired speed in voltage, and the output Y(s) is the actual speed. Tachogenerator, H, convert the actual speed to corresponding voltage. Amplifier Motor and gears X() 5 Ls +R Tachogenerator H The following parameters are known about the system: Amplifier gain: A=2; Motor inductance: L=5H Tachogenerator gain: H=0.15; Determine the following: The system transfer function The value of the motor resistance, R,...
Please answer all 3 questions! Thank you!
1). Calculate the control block flow diagram. Fi Ti CT ST 2). Calculate the Laplace equivalent of the following equations: where T is the output variable, A and B are constants and u, uz, and us are the deviations variables for the input temperature (Ti), input flow (Fi) and input heat flow (Q), respectively. where T is the output variable, A, B, and C are constants and u,, U2, and uj are the...
part 2 & part 3 please...
Tutorial -On PID control (Control System: Instructor slides and lab) Consider a second order mass-force system to study its behavior under various forms of PID control xtn fon force In Disturbance force: 50) (i.e. wind force) Part I (dealing with the plant/process) 1. What is the model of this system, in other words, write the ODE of the system 2. Derive the transfer function of the above system from Fls) to X(s) 3. What...
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