How To Sketch a Root Locus (with Examples)

In this video, I go over a general method for drawing a Root Locus diagram. This is not the only way that the diagram can be drawn, but I found that these rules are pretty general and work for a wide variety of systems.

Timestamps:
00:00 - Introduction
00:35 - Definitions
02:05 - Symmetry
02:39 - Poles and Zeros
04:21 - Loci on the Real Axis
05:24 - Branch Direction
06:33 - Asymptotes
12:50 - Angle of Departure
16:51 - Break into or away from Real Axis
22:37 - Angle of Arrival
25:02 - Summary

If you have any questions or want to see me make a video about something, please leave a comment below!

Errata:
In the section about the break from the real axis, I accidentally truncated one of the solutions of the quadratic to be 13.65 instead of rounding to 13.66.

[TheK]

This video is literally saving me while studying for my control systems final exam. Thank you DMD Engineering!

[dylanodgers]

This is the best video describing how to do root locus that ive found

[mogusmogusmogus]

goated, phenomenal explanation in 25 minutes, my professor took 3 class periods and was nowhere near as clear.

[TheWrongButton]

Very helpful and concise summary, thank you.

[overchilled]

thank you DMD Engineering, saving me for my final exams for control systems

[bbhh-udzo]

Your explanation is concise. Thank You!

[furkansahin]

why at 23:50 zeros not 90+90 just 90 but the example before the poles were 90+90.

[lanaa]

hiii great video, can you explain the end tho? how does the line reach the zero in a 315° angle? from what point do you measure that because it looks like 135° to me 😭

[ReussirSonProjetEtudesAuCanada]

I was lost when you switched from one exercise to the other without mentioning it’s a new question (asymptotes part).

[ixtyOne]

what kind of s is that?? :)) thanks for explaining very clearly.