Instructions 1) Show all of your workings and drawings clearly

Instructions

1) Show all of your workings and drawings clearly.

2) Submit your homework as a pdf or word document.

3) You may use numerical software such as MATLAB for this homework. However, you have to manually sketch the root locus for part (e).

Draw the root locus for the unity feedback system shown in Fig. 1 by answering all the questions below.

 R(s) ® ± ® K ® s² + 2s +101/(s + 1)(s² + 20s + 125) ® C(s)

           Fig, 1. A unity feedback system.

(a) Identify all the starting and ending points of the locus.

(b) Find all the departure angles (if applicable).

(c) Find all the arrival angles (if applicable).

(d) Find all the break-in and break-out points (if applicable).

(e) Manually sketch the root locus.