Second half lab procedures continued. 3.Using Matlab code in Lab 2, set up the systems of Prelab 2(a) and Prelab 3, 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. 4. Using Matlab code in Lab 2, set up the systems of Prelab 2(a) and Prelab 4, 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.
Second half lab procedures continued. 3.Using Matlab code in Lab 2, set up the systems of Prelab 2(a) and Prelab 3, 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. 4. Using Matlab code in Lab 2, set up the systems of Prelab 2(a) and Prelab 4, 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.
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Second half lab procedures continued.
3.Using Matlab code in Lab 2, set up the systems of Prelab 2(a) and Prelab 3, 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.
4. Using Matlab code in Lab 2, set up the systems of Prelab 2(a) and Prelab 4, 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.
Transcribed Image Text:Required software packages: MATLAB
Prelab
1. Given the transfer function, G(s) =
values of a 1, 2, 3, 4.
2. Given the transfer function, G(s) =
4.
a
s+a'
evaluate settling time and rise time for the following
C.
b
s²+as+b
a. Evaluate percent overshoot, settling time, and peak time for the following values: a = 4; b =
25.
b. Calculate the values of a and b so that the imaginary part of the poles remains the same,
but the real part is increased 2 times over that of (a), and repeat Prelab 2(a).
Calculate the values of a and b so that the imaginary part of the poles remains the same, but
the real part is decreased ½ time over that of (a), and repeat the Prelab 2(a).
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 over that of Prelab 2(a), and repeat
Prelab 2(a).
(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).
(a). For the system of Prelab 2(a), calculate the values of a and b so that the damping ratio
remains the same, but the natural frequency wn is increased 2 times over that of Prelab 2(a), and
repeat Prelab 2(a).
(b). For the system of Prelab 2(a), calculate the values of a and b so that the damping ratio
remains the same, but the natural frequency is increased 4 times over that of Prelab 2(a), and
repeat Prelab 2(a).
5. Briefly describe the effects on the time response as the poles are changed in each of
Prelab 2, 3, and 4.
![Lab Procedures
1. Using following Matlab code, set up the systems of Prelab 1 and plot the step response of each of
the 4 transfer functions on a single. Also, record the values of settling time and rise time for each
step response by observing.
num1 = 1;
den1 [1 1];
T1 tf (numl, den1)
num2=2;
den2= [1 2];
T2=tf (num2, den2)
num3=3;
den3= [13];
T3 tf (num3, den3)
num4=4;
den 4= [1 4];
T4=tf(num4, den4)
step (T1, T2, T3, T4)
2. Using following Matlab code, set up the systems of Prelab 2, 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.
num1=25;
den1= [1 4 25];
T1=tf (num1, den 1)
num2=b;
den2= [1 a b];
T2=tf (num2, den2)
num3=b;
den3= [1 a b];
T3=tf (num3, den3)
step (T1, T2, T3)
Calculate new b
% Calculate new a
Calculate new b
Calculate new a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5511825b-58e7-463e-a5dc-1d8731c21fdc%2F70243fc6-656c-4c08-bd3d-7dcdc0eca8a2%2Fvc4l6gr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Lab Procedures
1. Using following Matlab code, set up the systems of Prelab 1 and plot the step response of each of
the 4 transfer functions on a single. Also, record the values of settling time and rise time for each
step response by observing.
num1 = 1;
den1 [1 1];
T1 tf (numl, den1)
num2=2;
den2= [1 2];
T2=tf (num2, den2)
num3=3;
den3= [13];
T3 tf (num3, den3)
num4=4;
den 4= [1 4];
T4=tf(num4, den4)
step (T1, T2, T3, T4)
2. Using following Matlab code, set up the systems of Prelab 2, 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.
num1=25;
den1= [1 4 25];
T1=tf (num1, den 1)
num2=b;
den2= [1 a b];
T2=tf (num2, den2)
num3=b;
den3= [1 a b];
T3=tf (num3, den3)
step (T1, T2, T3)
Calculate new b
% Calculate new a
Calculate new b
Calculate new a
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