NAME:

MUNEEB-UR-REHMAN

AHSAN KHURSHID

SECTION:

50(C)

INSTRUCTOR:

SIR ABDUL GHAFOOR

LAB ENGINEER:

MAM SARA JAMIL

SUBJECT:

LINEAR CONTROL SYSTEMS

Question No 1:Q-1: Consider the two matrices and using MATLAB, perform following operations:

A = [6 4*pi ; 2*i 5+(sqrt(2))*i] B=[3*i -13*pi ; 2 8]

1. A+B 2. AB 3. At 4. A2 + B2 + AB

5. B-1 6. BtAt 7. A2 8. conjugate of A

Answer:

Question No 2:Consider the following set of linear algebraic equations, determine the values of x,y and z.

5x+6y+10z=4 3x+14z=10 7y+21z=0

Answer:

Question no 3:

Generate a plot of y(x)= e-0.5xSinwx, where w= 10 rad/s, and x=0:0.1:10.

Answer:

Question no 4:Develop a MATLAB script to plot the function y(x)=(4/π)coswx + (4/9π)cos3wx where w is a variable input at the command prompt. Label the x-axis with time(sec) and the y-axis with the whole equation. Include a descriptive header in the script, and verify that the help function will display the header. Choose w=1,3,10 rad/s and test the script.

Answer:W=1

W=3

W=10

Question no 5:Generate the plot of input and output_theta of aeropendulum and label x-axis as sin theta and y-axis as PWM input.

where input =[0 10 20 30 40 50 60 70 80 90 100 110 120 127]; theta=[0 0 0 2.5 6.8 10.5 14 20 24.5 29. 33.4 38 42 43] ; whereas output_theta= sine of theta; and theta is in degrees.

Answer: