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a) Draw a ladder diagram for programming circuit for a motor. Include in the ladder diagram provision for a light to co...
Write the Boolean expression and draw the gate logic diagram and typical PLC ladder logic dia- gr...
Write the Boolean expression and draw the gate logic diagram and typical PLC ladder logic dia- gram for a control system wherein a fan is to run only when all of the following conditions are met: . Input A is OFF . Input B is ON or input C is ON, or both B and C 5. are ON Inputs D and E are both ON One or more of inputs F, G, or H are ON 4. Express each...
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,...
QUESTION 2 Given that a control system has a forward path of G(s) and negative unity...
QUESTION 2 Given that a control system has a forward path of G(s) and negative unity feedback and unit- step input is applied to the system. If G(s) is given as: K G(s)= s(s4) Draw the block diagram of the system. a) Derive the closed-loop transfer function of the system. b) If the gain K 6, determine the settling time of the resulting second-order system at 2% c) tolerance band Its corresponding steady state error. d) Sketch the controlled output...
c) A system can be modeled by using differential equation, di +5 di = 2v, where...
c) A system can be modeled by using differential equation, di +5 di = 2v, where y and i are input and output for the system, i determine the transfer function for the system. [2 marks] ii. if the system input used is as shown in the Figure 2 (e), determine the time response for the system. [3 marks 0.5 Figure 2(c) d) The open loop pole-zero plot of a unity feedback control system is shown in Figure 2(d). Draw...
The Bode diagram of the forward-nath transfer function of a unity-feedback control system is obtained experimentally when the forward gain Kis set at its nominal valuc. (a) Find the gain and phase ma...
The Bode diagram of the forward-nath transfer function of a unity-feedback control system is obtained experimentally when the forward gain Kis set at its nominal valuc. (a) Find the gain and phase margins of the system from the diagram as best you can read them. Find the gain- and phase-crossover frequencies. (b) Repeat part (a) if the gain is doubled from its nominal value. (c) Repeat part (a) if the gain is 10 times its nominal value. (d) Find out...
Question 1 a) Define the term transfer function in relation to a linear control system. [5...
Question 1 a) Define the term transfer function in relation to a
linear control system. [5 marks] Figure Q1 shows a block diagram of
a feedback control system, with a plant with transfer function G(s)
, a controller with transfer function C(s) , and a sensor with
transfer function H(s) . b) Derive from first principles the closed
loop transfer function G (s) cl from the reference signal r(t) , to
the output signal y(t) . [5 marks] c) Give...
Problem 4 (30%) The system given in the diagram shows a typical control system where the...
Problem 4 (30%) The system given in the diagram shows a typical control system where the system that represents the process to be controlled is called Gp(s), the controller itself is Gc(s) and the measurement system is H(s). The signals in the diagram are the input (desired repsonse) R(s), the output to be controlled Y(s), the system distrubance T(s) and the measurement noise N(s). Let's assume that the transfer function for the measurement is H(s)1 and that a good approx...
The parameters are as follows k=10 a=0.50 b=0.3 c=0.6 d=9 w_1=12 w_2=15 Kv=30 A feedback control system (illustrated in Figure 1) needs to be designed such that the closed-loop system is asymptotical...
The parameters are as follows
k=10 a=0.50 b=0.3 c=0.6 d=9 w_1=12 w_2=15
Kv=30
A feedback control system
(illustrated in Figure 1) needs to be designed such that the
closed-loop system is asymptotically stable and such that the
following design criteria are met:
the gain crossover frequency wc should be between
w1 and w2.
the steady-state error should be zero in response to a unit
step reference.
the velocity constant should be greater than Kv (in
other words, the steady-state unit...
Preliminary (1.5 marks) 1) Figure 4 shows the block diagram for the resonant servomechanism contr...
Preliminary (1.5 marks) 1) Figure 4 shows the block diagram for the resonant servomechanism control system. Through out this lab we will be applying proportional control to the system, i.e. C(s)- Kp Controller Fiter L(s) C(s) G(S) Figure 4: Block diagram of control system using proportional control. Equivalent forward Y(s) Figure 5: Block diagram reduced to an equivalent unity feedback system. Determine the equivalent forward transfer function Geg(s), for the equivalent unity feedback system shown in Figure 5, in terms...
6. A second order differential equation d?x/dt+ 5 dx/dt+7x = 7y. State the undamped natural frequ...
6. A second order differential equation d?x/dt+ 5 dx/dt+7x = 7y. State the undamped natural frequ damping ratio. 7. State the damped natural frequency, damping coefficient and time constant for question 6. 8. Given that the transfer function G is K/s(s+sT). State the type and order of the system 9. It is given that G(s) = K/s (1+sT). This system is operated in a closed-loop with unity feedback. W order and the type of closed-loop system? 10. Given the transfer...
Write the Boolean expression and draw the gate logic diagram and typical PLC ladder logic dia- gram for a control system wherein a fan is to run only when all of the following conditions are met: . Input A is OFF . Input B is ON or input C is ON, or both B and C 5. are ON Inputs D and E are both ON One or more of inputs F, G, or H are ON 4. Express each...
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,...
QUESTION 2 Given that a control system has a forward path of G(s) and negative unity feedback and unit- step input is applied to the system. If G(s) is given as: K G(s)= s(s4) Draw the block diagram of the system. a) Derive the closed-loop transfer function of the system. b) If the gain K 6, determine the settling time of the resulting second-order system at 2% c) tolerance band Its corresponding steady state error. d) Sketch the controlled output...
c) A system can be modeled by using differential equation, di +5 di = 2v, where y and i are input and output for the system, i determine the transfer function for the system. [2 marks] ii. if the system input used is as shown in the Figure 2 (e), determine the time response for the system. [3 marks 0.5 Figure 2(c) d) The open loop pole-zero plot of a unity feedback control system is shown in Figure 2(d). Draw...
The Bode diagram of the forward-nath transfer function of a unity-feedback control system is obtained experimentally when the forward gain Kis set at its nominal valuc. (a) Find the gain and phase margins of the system from the diagram as best you can read them. Find the gain- and phase-crossover frequencies. (b) Repeat part (a) if the gain is doubled from its nominal value. (c) Repeat part (a) if the gain is 10 times its nominal value. (d) Find out...
Question 1 a) Define the term transfer function in relation to a
linear control system. [5 marks] Figure Q1 shows a block diagram of
a feedback control system, with a plant with transfer function G(s)
, a controller with transfer function C(s) , and a sensor with
transfer function H(s) . b) Derive from first principles the closed
loop transfer function G (s) cl from the reference signal r(t) , to
the output signal y(t) . [5 marks] c) Give...
Problem 4 (30%) The system given in the diagram shows a typical control system where the system that represents the process to be controlled is called Gp(s), the controller itself is Gc(s) and the measurement system is H(s). The signals in the diagram are the input (desired repsonse) R(s), the output to be controlled Y(s), the system distrubance T(s) and the measurement noise N(s). Let's assume that the transfer function for the measurement is H(s)1 and that a good approx...
The parameters are as follows
k=10 a=0.50 b=0.3 c=0.6 d=9 w_1=12 w_2=15
Kv=30
A feedback control system
(illustrated in Figure 1) needs to be designed such that the
closed-loop system is asymptotically stable and such that the
following design criteria are met:
the gain crossover frequency wc should be between
w1 and w2.
the steady-state error should be zero in response to a unit
step reference.
the velocity constant should be greater than Kv (in
other words, the steady-state unit...
Preliminary (1.5 marks) 1) Figure 4 shows the block diagram for the resonant servomechanism control system. Through out this lab we will be applying proportional control to the system, i.e. C(s)- Kp Controller Fiter L(s) C(s) G(S) Figure 4: Block diagram of control system using proportional control. Equivalent forward Y(s) Figure 5: Block diagram reduced to an equivalent unity feedback system. Determine the equivalent forward transfer function Geg(s), for the equivalent unity feedback system shown in Figure 5, in terms...
6. A second order differential equation d?x/dt+ 5 dx/dt+7x = 7y. State the undamped natural frequ damping ratio. 7. State the damped natural frequency, damping coefficient and time constant for question 6. 8. Given that the transfer function G is K/s(s+sT). State the type and order of the system 9. It is given that G(s) = K/s (1+sT). This system is operated in a closed-loop with unity feedback. W order and the type of closed-loop system? 10. Given the transfer...
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