System Analysis in Matlab Step by step Solution with Explanation

Your question:

Compute the total transfer function $C/R$ of the following system, compute the poles, draw the pole-zero map and the root locus using Matlab/Octave.

System Analysis in Matlab Answers and Explanation

1. • An integrator block with transfer function: 1/s

2. Write the transfer function for each block in series. The order doesn't matter as long as we multiply the transfer functions together. So, we have:

C(s)/R(s) = 8.98 / ((s+1)(s+4)s)

Compute the Poles

• s = -4

• s = 0 (since the denominator also has a factor of s)

Since there are no zeros in the system (the numerator of the transfer function is 1), the pole-zero map will only have the three poles.

Draw the Root Locus

sysl = 0.4490;

sys_int = 1/s;

% Find the poles

poles = pole(C_R);