Lab Assignment
Transcript of Lab Assignment
![Page 1: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/1.jpg)
Assignment
Submitted to sir Umer RanaSubmitted by Mariyam Zafar
Roll no 916
B.E 6
Lahore College for Women University Lahore
![Page 2: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/2.jpg)
Experiment :
Objective:To evalute the effect of pole and zero location upon the time response of first and second order system.
Pre lab:1.Given the transfer function G(s)= a/ (s+a). Evalute settling time and rise time for the following values of a=1,2,3,4.plot the poles
Solution:
For a=1
In the command window
>>a=1
a =
1
>> numf=[a]
numf =
1
>> denf=[1 a]
denf =
1 1
>> t=tf([numf],[denf]) Transfer function: 1-----s + 1
Then draw the diagram in the simulink. Write simulink in the command window. then draw the block diagram of the transfer function. It will be like this
![Page 3: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/3.jpg)
By clicking on the scope we get
![Page 4: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/4.jpg)
In the command window, write>>p=pole(t)p =
-1>>z=zero(t)z =
Empty matrix: 0-by-1
>>y=pzmap(t)y =
-1
Write ltiview in command window then import the above transfer function (G) the graph will be like this with its pole, rise time and settling time.
![Page 5: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/5.jpg)
For a =2
In the command window
>>a=2
a =
2
>> num=[a]
num =
2
![Page 6: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/6.jpg)
>> den=[1 a]
den =
1 2
>> t=tf([num],[den]) Transfer function: 2-----s + 2
Then draw the diagram in the simulink. Write simulink in the command window. then draw the block diagram of the transfer function. It will be like this.
![Page 7: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/7.jpg)
By clicking on scope we get.
In the command window, write
>> p=pole(t)
p =
-2
>> z=zero(t)
z =
Empty matrix: 0-by-1
>> y=pzmap(t)
y =
-2
Write ltiview in command window then import the above transfer function (G) the graph will be like this with its pole, rise time and settling time
![Page 8: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/8.jpg)
![Page 9: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/9.jpg)
For a=3
In the command window ,write
>>a=3
a =
3
>> num=[a]
numf =
3
![Page 10: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/10.jpg)
>> den=[1 a]
den =
1 3
>> t=tf([num],[den]) Transfer function: 3-----s + 3 Then draw the diagram in the simulink. Write simulink in the command window. then draw the block diagram of the transfer function. It will be like this.
![Page 11: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/11.jpg)
By clicking on scope we get
In the command window write
p =pole(t)p=
-3
>> z=zero(t)
z =
Empty matrix: 0-by-1
>> y=pzmap(t)
y =
-3
Write ltiview in command window then import the above transfer function (G) the graph will be like this with its pole, rise time and settling time
![Page 12: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/12.jpg)
![Page 13: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/13.jpg)
For a=4
In the command window
>>a=4
a =
4
>> num=[a]
num=
4
![Page 14: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/14.jpg)
>> den=[1 a]
den =
1 4
>> t=tf([num],[den]) Transfer function: 4-----s + 4 Then draw the diagram in the simulink. Write simulink in the command window. then draw the block diagram of the transfer function. It will be like this
By clicking on scope we get
![Page 15: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/15.jpg)
In the command window
>> p=pole(t)
p =
-4
>> z=zero(t)
z =
Empty matrix: 0-by-1
>> y=pzmap(t)
y =
-4
![Page 16: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/16.jpg)
Write ltiview in command window then import the above transfer function (G) the graph will be like this with its pole, rise time and settling time
![Page 17: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/17.jpg)
![Page 18: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/18.jpg)
For 2nd order system
2. Given the transfer function G(s)=b/(s*2+as+b)a) evaluate percent overshoot, settling time, peak time, and rise time for the following values, a=4, b= 25. Also plot the poles.
Solution:
In the command window
>>a=4
a =
4
>> b=25
b =
25
>> num=[b]
num=
25
>> den=[1 a b]
den =
1 4 25
>> t1=tf([num],[den]) Transfer function:
25--------------
s^2 + 4 s + 25
![Page 19: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/19.jpg)
then draw the diagram in the simulink. Write simulink in the command window. then draw the block diagram of the transfer function. It will be like this
![Page 20: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/20.jpg)
By clicking on scope we get
In the command window, write
>> p=pole(t1)
p =
-2.0000 + 4.5826i -2.0000 - 4.5826i
>> z=zero(t1)
z =
Empty matrix: 0-by-1
>> y=pzmap (t1)
![Page 21: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/21.jpg)
y =
-2.0000 + 4.5826i -2.0000 - 4.5826i
Write ltiview in command window then import the above transfer function (G) the graph will be like this with its pole, peak time rise time and settling time,peak time and overshoot
![Page 22: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/22.jpg)
b) Calculate the values of a and b so that imaginary part of the poles remains the same but the real part is increased 2 times over that of (a) and repeat prelab(2a). Now put the value of a=8, b=37
Solution:
In the command window
>>a=8
a =
8
![Page 23: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/23.jpg)
>> b=37b =
37
>> num=[b]
numf=
37>> den=[1 a b]
den =
1 8 37
>> t1=tf([num],[den]) Transfer function:
37--------------
s^2 + 8s + 37
Then draw the diagram in the simulink. Write simulink in the command window. Then draw the block diagram of the transfer function. It will be like this
![Page 24: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/24.jpg)
By clicking on scope we get
![Page 25: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/25.jpg)
In the command window
>> p=pole(t1)p =
-4.0000 + 4.5826i -4.0000 - 4.5826i>> z=zero(t1)
z =
Empty matrix: 0-by-1
>> y=pzmap(t1)
y =
-4.0000 + 4.5826i -4.0000 - 4.5826i
Write ltiview in command window then import the above transfer function (G) the graph will be like this with its pole,peak time,overshoot, rise time and settling time
![Page 26: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/26.jpg)
![Page 27: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/27.jpg)
c) Calculate the values of a and b so that the imaginary part of the poles are remain the same but the real part is decreased1/2 time over of (a) and repeat prelab(2a).
Solution: now the values of a and b are a=2, b=22
In the command window
>>a=2a =
2
![Page 28: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/28.jpg)
>> b=22b =
22
>> num=[b]
num ==
22>> den=[1 a b]
den =
1 2
>> t1=tf([num],[den]) Transfer function:
22--------------
s^2 + 2s + 22
Then draw the diagram in the simulink. Write simulink in the command window. then draw the block diagram of the transfer function. It will be like this
![Page 29: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/29.jpg)
By clicking on scope we get
![Page 30: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/30.jpg)
In the command window
>> p=pole(t1)
p =
-1.0000 + 4.5826i -1.0000 - 4.5826i
>> z=zero(t1)
z =
Empty matrix: 0-by-1
>> y=pzmap(t1)
y =
-1.0000 + 4.5826i -1.0000 - 4.5826i
Write ltiview in command window then import the above transfer function (G) the graph will be like this with its pole, peak time,overshoot, rise time and settling time
![Page 31: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/31.jpg)
![Page 32: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/32.jpg)
3 .a) For the system of prelab 2(a) calculate the values of a and b so that the real
part of the poles remains the same but the imaginary part is increased 2 times ove that of prelab 2(a) and repeat prelab 2(a)
b)Solution :
Now the values of a and b are. A=4, b=88
![Page 33: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/33.jpg)
In the command window w
>>a=4a =
4
>> b=88
b =
88
>> num=[b]
num =
88
>> den=[1 a b]
den =
1 4 88
>> t1=tf([num],[den]) Transfer function:
88--------------
s^2 + 4s + 88
Then draw the diagram in the simulink. Write simulink in the command window. then draw the block diagram of the transfer function. It will be like this
![Page 34: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/34.jpg)
By clicking on scope we get
![Page 35: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/35.jpg)
In the command window >> p=pole(t1)
p =
-2.0000 + 9.1652i -2.0000 - 9.1652i
z=zero(t1)z =
Empty matrix: 0-by-1>> y=pzmap(t1)
y =
-2.0000 + 9.1652i -2.0000 - 9.1652i
Write ltiview in command window then import the above transfer function (G) the graph will be like this with its pole, peak time,overshoot ,rise time and settling time
![Page 36: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/36.jpg)
![Page 37: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/37.jpg)
b) For the system of prelab 2(a) calculate the values of a and b so that the real part of the poles remains the same but the imaginary part is increased 4 times over that of prelab 2(a) and repeat prelab 2(a).
Solution :
Now the values of a and b are A= 4, b=340
In the command window
>>a=4a =
4
>> b=340
![Page 38: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/38.jpg)
b = 340
>> num=[b]
num=
340
>> den=[1 a b]
den =
1 4 340
>> t1=tf([num],[den]) Transfer function:
340--------------
s^2 + 4s + 340
then draw the diagram in the simulink. Write simulink in the command window. then draw the block diagram of the transfer function. It will be like this
![Page 39: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/39.jpg)
By clicking on scope we get
![Page 40: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/40.jpg)
In the command window
>> p=pole(t1)
p =
-2.0000 +18.3303i -2.0000 -18.3303i>> z=zero(t1)
z =
Empty matrix: 0-by-1
>> y=pzmap(t1)
y =
-2.0000 +18.3303i -2.0000 -18.3303i
Write ltiview in command window then import the above transfer function (G) the graph will be like this with its pole, rise time peak time,overshoot and settling time
![Page 41: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/41.jpg)
4a) For the system of prelab 2(A) calculate the values of a and b so that tha
damping ratio remains the same but the natural frequency is increased 2 times over of prelab 2(a) and repeat prelab 2(a).
Solution :
Now the values of a and b are A= 4,b=25
![Page 42: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/42.jpg)
In the command window >> a=4
a =
4
>> b=25
b =
25
>> omega=sqrt(b)
omega =
5
>> eeta=(a/(2*omega))
eeta =
0.4000
>> omega=10
omega =
10
>> eeta=0.4
eeta =
0.4000
>> b=omega*omega
b =
100
>> a=2*eeta*omega
![Page 43: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/43.jpg)
a =
8
>> num=[b]
num =
100
>> den=[1 a b]
denf=
1 8 100
>> t=tf([num],[den]) Transfer function: 100---------------s^2 + 8 s + 100
then draw the diagram in the simulink. Write simulink in the command window. then draw the block diagram of the transfer function. It will be like this
![Page 44: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/44.jpg)
By clicking on scope we get
![Page 45: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/45.jpg)
In the command window write
p=pole(t)
p =
-4.0000 + 9.1652i -4.0000 - 9.1652i
>> z=zero(t)
z =
Empty matrix: 0-by-1
>> y=pzmap(t)
y =
-4.0000 + 9.1652i -4.0000 - 9.1652i
Write ltiview in command window then import the above transfer function (G) the graph will be like this with its pole, rise time, peak time,overshoot and settling time
![Page 46: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/46.jpg)
![Page 47: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/47.jpg)
b) For the system pf prelab 2 (a) calculate the values of a and b so that the damping ratio remains the same but the natural frequency is increases 4 times over that of prelab 2(a) and repeat prelab 2(a).
Solution :
In the command window
>> eeta=0.4
eeta =
0.4000
>> omega=20
![Page 48: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/48.jpg)
omega=
20
>> b=omega*omega
b =
400
>> a=2*eeta*omega
a =
16
>> num=[b]
num=
400
>> den=[ 1 a b]
den =
1 16 400
>> t=tf([num],[den]) Transfer function: 400----------------s^2 + 16 s + 400
then draw the diagram in the simulink. Write simulink in the command window. then draw the block diagram of the transfer function. It will be like this
![Page 49: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/49.jpg)
![Page 50: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/50.jpg)
By clicking on scope we get
In the command window
>> p=pole(t)
p =
-8.0000 +18.3303i -8.0000 -18.3303i
>> z=zero(t)
z =
Empty matrix: 0-by-1>> y=pzmap(t)
y =
-8.0000 +18.3303i -8.0000 -18.3303i
![Page 51: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/51.jpg)
Write ltiview in command window then import the above transfer function (G) the graph will be like this with its pole, rise time and settling time,peak time and overshoot.
![Page 52: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/52.jpg)
LAB1) Using simulink set up the system of prelab 1 and plot the step response of
each of four transfer functions on a single graph by using the simulink LTI viwer. Also record the values of settling time and rise time for each step response.
Solution
Use the following command in command window>> a1=tf([1],[1 1]) Transfer function: 1-----s + 1
>> a2=tf([2],[1 2])
![Page 53: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/53.jpg)
Transfer function: 2-----s + 2
>> a3=tf([3],[1 3]) Transfer function: 3-----s + 3 >> a4=tf([4],[1 4]) Transfer function: 4-----
s + 4
>> step(a1,a2,a3,a4)
Now for LTI VIEWER (for rise time and settling time)
>> ltiview Import the transfer functions one by one on tha single graph.
![Page 54: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/54.jpg)
Settling time for a1=3.91 and rise time for a1=2.2.
Settling time for a2=1.96 and rise time for a2=1.1
Settling time for a3=1.3and rise time for a3=0.732
Settling time for a4=0.978and rise time for a4=0.549
![Page 55: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/55.jpg)
1) Using simulink set up the system of prlab 2using the simulink LTI VIEWER plot the step response of each of the 3 transfer functions on a single graph . tlso record the values of percentage overshoot,setlling time,peak time and rise time of each step response
Use the following command in command window
>> b1=tf([25],[1 4 25]) Transfer function: 25--------------s^2 + 4 s + 25 >> b2=tf([37],[1 8 37]) Transfer function: 37--------------s^2 + 8 s + 37
>> b3=tf([22],[1 2 22]) Transfer function: 22--------------s^2 + 2 s + 22
>> step(g,g1,g2)
![Page 56: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/56.jpg)
>> ltiview
![Page 57: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/57.jpg)
B1Percent overshoot =25.4Settling time =1.3Rise time =0.732
B2Percent overshoot=6.44Settling time=0.988Rise time=o.329
B3Percent overshoot=50.4Settling time=3.64Rise time=0.261
![Page 58: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/58.jpg)
1) Using simulink , set up the system of prelab 2 a)and prelab 3. Using the simulink LTI viewer plot the step response of each of the 3 transfer functions on a single graph . also record the values of percent overshoot , settling time,peak time and rise time for each step response.
Solution: Use the following commands in command window
>> c1=tf([25],[1 4 25]) Transfer function: 25--------------s^2 + 4 s + 25 >> c2=tf([88],[1 4 88]) Transfer function: 88--------------s^2 + 4 s + 88 >> c3=tf([340],[1 4 340]) Transfer function: 340---------------s^2 + 4 s + 340 >> step(f,f1,f2)
>> ltiview
![Page 59: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/59.jpg)
for c1:Percent overshoot=25.4Settling time=1.3Rise time=0.732
For c2:Percent overshoot=50.4Settling time=1.82Rise time=0.131
For c3:Percent overshoot=70.9Settling time=1.91Rise time=0.0607
![Page 60: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/60.jpg)
4) simulink set up the system of prelab 2 a) and prelab 4 using the simulink LTI viewer , plot the step response of ech of the three transfer functions on a sigle graph. Also record the values of percent overshoot, settling time, peaktime and a rise timr for each response
Solution:
Used the following commands in command window
>> d1=tf([25],[1 4 25]) Transfer function: 25--------------s^2 + 4 s + 25 >> d2=tf([100],[1 8 100]) Transfer function: 100---------------s^2 + 8 s + 100
>> d3=tf([400],[1 16 400]) Transfer function: 400----------------s^2 + 16 s + 400
>> step(r,r1,r2) >> ltiview
>> r=tf([25],[1 4 25]) Transfer function: 25--------------s^2 + 4 s + 25 >> r1=tf([100],[1 8 100]) Transfer function: 100---------------s^2 + 8 s + 100
![Page 61: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/61.jpg)
>> r2=tf([400],[1 16 400]) Transfer function: 400----------------s^2 + 16 s + 400
In order to draw the three step responses on a single graph
>> step(r,r1,r2)
Now for LTI VIEWER (for rise time and settling time,over shoot and peak time)
>> ltiview
Import the transfer functions one by one on tha single graph
![Page 62: Lab Assignment](https://reader033.fdocuments.us/reader033/viewer/2022061200/5477f871b4af9f4d108b4ae1/html5/thumbnails/62.jpg)
for d1:Percent overshoot=25.4Settling time=1.3Rise time=0.732
For d2:Percent overshoot=25.4Settling time=0.147Rise time=0.841
For d3:Percent overshoot=25.4Settling time=0.42Rise time=0.0734