MATLAB Transfer Functions and Polynomial Roots: Exercises and Solutions

Published on June 2, 2026

Other

Solve problems involving defining transfer functions and finding polynomial roots, sums, and products using MATLAB. This exercise covers fundamental concepts in control systems and algebra.

Question

Answer

Based on the image provided, here are the solutions to the math problems presented in the exercises.

Problem 1: Transfer Functions

The task is to write a MATLAB script to define and print the given transfer functions.

i. Transfer Function 1:

ii. Transfer Function 2:

MATLAB Code Solution:

% MATLAB script to print transfer functions

% i. First transfer function
num1 = [6 0 9 0]; % Coefficients for 6s^3 + 0s^2 + 9s + 0
den1 = [45 0 7 3]; % Coefficients for 45s^3 + 0s^2 + 7s + 3
H1 = tf(num1, den1);
disp('Transfer Function i:')
disp(H1)

% ii. Second transfer function
num2 = [5 0 0];   % Coefficients for 5s^2 + 0s + 0
den2 = [6 0 23 0 0]; % Coefficients for 6s^4 + 0s^3 + 23s^2 + 0s + 0
H2 = tf(num2, den2);
disp('Transfer Function ii:')
disp(H2)