Question

How do you simplify complex poles in MATLAB?

a) 'simplify_poles()' function
b) 'residuez()' function
c) 'simplify()' command
d) Utilize 'collect_poles()' in the command window

Answer 1

In MATLAB, you can simplify complex poles using the 'residuez()' function. This function calculates the residues, poles, and direct terms of a given transfer function.

Step-by-step explanation:

In MATLAB, you can simplify complex poles using the 'residuez()' function. This function calculates the residues, poles, and direct terms of a given transfer function. It returns the partial fraction expansion of the transfer function, which represents the system in terms of its poles and residues.

For example, suppose you have a transfer function H(s) = (s+1)/(s^2+3s+2). You can use the 'residuez()' function to find the partial fraction expansion of H(s):

[r, p, k] = residuez([1,1], [1,3,2]);

This will return the residues 'r', poles 'p', and direct term 'k' of the transfer function.