e. Determine the following system step response analysis of the closed-loop system of (b): The system natural frequency, a The system damping factor. The steady-state current output 8 The system poles Type of system respose (under, over or critical- damped? The step response, (t) The step response percentage overshoot The step response settling time, t If the motor viscous friction constamt, b, is increased, what would be the effect on the syster percentage overshoot Clearly justify your answer without calculation
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Higher Colleges of Technology Faculty of Electronic Engineering Class Assignment 4 Second Order Systems EEC 4043:...
Not all second-order systems are designed to give a standard 2"d order response. Consider the pow...
Not all second-order systems are designed to give a standard 2"d order response. Consider the power steering for an automobile. The feedback system can be modeled as the block diagram shown in the figure below. For a unit step input A(s), find values of K1 and K2 for which the response w(t) is critically damped and has a steady-state gain of 0.4 unit. Repeat for a damping ratio of 0.7 and a steady-state gain of 0.2 unit. 7) Control Steering...
Question three The figure below shows a unit step response of a second order system. From...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
2 Comsider a DC motor, ts ampifier, losed loposition contrller and ld which is connected to the m...
2 Comsider a DC motor, ts ampifier, losed loposition contrller and ld which is connected to the motor via a gear reducer. Consider an analog controller of type PI, e(s)0(s)-0(s) ¡(s)-K-11(s) the amplifier model: the DC motor model: Tm(s)K i(s) Ka = 1.0, Kt-1.0, c = 10.0, Let the parameters of the components be as follows: Find the closed loop system transfer function between the commanded position signal, load torque, and actual position signal. Select the gains of the PI...
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,...
(This problem requires MATLAB to solve.) Figure 1 shows a basic block diagram of an open loop con...
(This problem requires MATLAB to solve.)
Figure 1 shows a basic block diagram of an open loop control
system with Ea(s) representing the reference input and
TL(s) representing the load-torque disturbance
input.
Its transfer function between the speed output and the
disturbance input is described by the equation
Please develop a Simulink model to simulate the speed output
response due to a step disturbance input of 0.1Nm at t=2s with the
values provided in table 1. (Use Ea=10 and Ea=20...
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...
The de motor is a very common and very important piece of hardware in many control...
The de motor is a very common and very important piece of hardware in many control systems. The dc servo is essentially a dc motor. When used in an "armature controlled" mode, the dc motor has the following transfer function (refer to p224 and p139, Ogata): 0,(s) V (8) K S(T s +1) where is the output position and Vis the voltage to the motor system. Time Response and Tacho Feedback Compensation Figure 1 shows the dc motor connected as...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a l...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a lead compensator so that the closed-loop system satisfies the following specifications (i) The steady-state error to a unit-ramp input is less than 1/200 (ii) The unit-step response has an overshoot of less than 16% Ts +1 Hint: Compensator, Dc(s)=aTs+ 1, wm-T (18 marks)...
Experiment 1 Consider the open-loop system, modelled as V (s) 6(s) GM(s) where GM(s) is given by ...
Experiment 1 Consider the open-loop system, modelled as V (s) 6(s) GM(s) where GM(s) is given by equation7 In this experiment, we will find the responise and investigate the characteristics of this open-loop system. a) Write instructions to create the ILTI (linear time-invariant) transfer function representing the motor GM(s). b) Plot the open-loop response for step voltage input (step response). c) Find the finite poles afid zeros of GM(s) c) Answer questions for experiment 1 in the worksheet. Simplifying, gives...
(a) (i) Show that the sensitivity of the closed-loop transfer function T(s) to variations in the...
(a) (i) Show that the sensitivity of the closed-loop transfer function T(s) to variations in the plant transfer function G(s), in figure 4, is given by 1 SI - SG = 1+G(s)H(s) (ii) If G(s) = and H(s) = 10 (figure 4) and the dc gain of the plant transfer function G(s) changes by 1%, what is the corresponding change in the dc gain of the closed-loop system? [40%] (b) A feedback system is to control output angular position 0....
Not all second-order systems are designed to give a standard 2"d order response. Consider the power steering for an automobile. The feedback system can be modeled as the block diagram shown in the figure below. For a unit step input A(s), find values of K1 and K2 for which the response w(t) is critically damped and has a steady-state gain of 0.4 unit. Repeat for a damping ratio of 0.7 and a steady-state gain of 0.2 unit. 7) Control Steering...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
2 Comsider a DC motor, ts ampifier, losed loposition contrller and ld which is connected to the motor via a gear reducer. Consider an analog controller of type PI, e(s)0(s)-0(s) ¡(s)-K-11(s) the amplifier model: the DC motor model: Tm(s)K i(s) Ka = 1.0, Kt-1.0, c = 10.0, Let the parameters of the components be as follows: Find the closed loop system transfer function between the commanded position signal, load torque, and actual position signal. Select the gains of the PI...
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,...
(This problem requires MATLAB to solve.)
Figure 1 shows a basic block diagram of an open loop control
system with Ea(s) representing the reference input and
TL(s) representing the load-torque disturbance
input.
Its transfer function between the speed output and the
disturbance input is described by the equation
Please develop a Simulink model to simulate the speed output
response due to a step disturbance input of 0.1Nm at t=2s with the
values provided in table 1. (Use Ea=10 and Ea=20...
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...
The de motor is a very common and very important piece of hardware in many control systems. The dc servo is essentially a dc motor. When used in an "armature controlled" mode, the dc motor has the following transfer function (refer to p224 and p139, Ogata): 0,(s) V (8) K S(T s +1) where is the output position and Vis the voltage to the motor system. Time Response and Tacho Feedback Compensation Figure 1 shows the dc motor connected as...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a lead compensator so that the closed-loop system satisfies the following specifications (i) The steady-state error to a unit-ramp input is less than 1/200 (ii) The unit-step response has an overshoot of less than 16% Ts +1 Hint: Compensator, Dc(s)=aTs+ 1, wm-T (18 marks)...
Experiment 1 Consider the open-loop system, modelled as V (s) 6(s) GM(s) where GM(s) is given by equation7 In this experiment, we will find the responise and investigate the characteristics of this open-loop system. a) Write instructions to create the ILTI (linear time-invariant) transfer function representing the motor GM(s). b) Plot the open-loop response for step voltage input (step response). c) Find the finite poles afid zeros of GM(s) c) Answer questions for experiment 1 in the worksheet. Simplifying, gives...
(a) (i) Show that the sensitivity of the closed-loop transfer function T(s) to variations in the plant transfer function G(s), in figure 4, is given by 1 SI - SG = 1+G(s)H(s) (ii) If G(s) = and H(s) = 10 (figure 4) and the dc gain of the plant transfer function G(s) changes by 1%, what is the corresponding change in the dc gain of the closed-loop system? [40%] (b) A feedback system is to control output angular position 0....
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