Routh-Hurwitz Criterion, An Introduction

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This video gives an introduction into the Routh-Hurwitz Criterion and the Routh Array. I also present a little background information in order to emphasize why the method was developed and how controls engineers use it to determine stability of a system with a high order characteristic polynomial.
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Routh-Hurwitz on Wikipedia:
en.wikipedia.org/wiki/Routh--H...
Routh-Hurwitz Analysis:
home.scarlet.be/colleman/upgra...

[@robertmandell1679]

why do I pay for university teachers when I can watch this guy, and learn 3 classes worth of info in 13 min.... Thanks Brian! Great vid!

[@theboxingbiker]

Exactly, my teacher spend 2 classes and still didn't make any sense.

[@NicksDomain101]

Double speed and its 6 minutes hahah

[@howardlam6181]

pretty sure you learn Routh-Hurwitz together with root locus and other stability criteria in one single class. That said, I had an Indian lecturer whose accent was not comprehensible to me. I would love subtitles.

[@hessamramezani4962]

@Felix Carpio Of course in real cases you don't get such simple functions as polynomials :D that is just for the demonstration

[@RM-up2ug]

Just for certificate...😥

[@covafreddy]

You are the reason I'm becoming a Mechanical Engineer this Wednesday

[@PunmasterSTP]

I know it's been years, but I just came across your comment and was curious. How has it been being an engineer?

[@shakirobaid2895]

you study this as a mechanical engineer?

[@user-gu4hg4qq1l]

@@shakirobaid2895I think a lot of engineers study controls, I am in bioengineering for example

[@kenboyz142]

@@shakirobaid2895yes we do

[@nathanrischer5379]

@@shakirobaid2895 As a mechanical engineer, can confirm. If I choose to I can take 3 years of control courses!

[@hanbiniwa]

9:52 "Tracing number 8" !!! Now I'll never forget how to fill out a Routh array. Thanks Brian!

[@Rejan227]

came down here to find this comment ^

[@Barracuda397]

I know this video is 7 years old, but I just wanted to say thank you. You're an excellent teacher.

[@PunmasterSTP]

It's 9 years old now, but I feel exactly the same way!

[@imacoder3160]

11 years here))@@PunmasterSTP

[@xXABCtXx]

I never comment on videos but man you're a gifted teacher, you articulated the information so well that it just clicked for me thank you!!

[@RionellKoay]

your explanation is top-notch!

[@BrianBDouglas]

Zé and wburke, sorry for the confusion. I've re-ordered the videos in my playlist. I don't have a video on the characteristic equation yet because these videos were originally just supplemental information to a regular controls class. But as I create more videos I'll try to cover the holes I'm missing now ... like the characteristic equation. Thanks for watching!

[@rishimohan6628]

Brian, you are awesome! I'm a novice at control theory and I tried reading up at-least 3 books to get my basics right. None of the books can match up to the simplicity of your teaching methods. Thanks for all the videos. Keep em coming.

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One of the best videos playlists on KZbin. Concise, precise and very clear.

[@LOTIL62]

I'm doing my Feedback control homework right now, I have found your technique to not only be simple, but nowhere near as convoluted as the book and my professor makes it out to be, for that I thank you greatly!

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KZbin algorithm should recommend useful stuff like this instead of random tiktok videos. Great lecture bro. I hope i can pass the paper this time.

[@luk45ful]

Gosh this is such a good explanation for Routh Array! I'm glad someone can explain control topics this good

[@masterdare459]

This was incredible. Your method of teaching fits brilliantly with how I learn and you were so clear and concise. Thank you!

[@jsathish1990able]

So much clarity in thought. Thanks Brian.

[@pnikouee]

Brian, your channel and the way you explain things is just excellent!

[@lostinthewoods357]

HOLY COW!! You're the MAN! I can't thank you enough

[@kjellikhill8923]

Thank you for some great videos Brian. I'm a Norwegian engineering student and it has helped me a lot in understanding the Routh Array.

[@theodontosaurus]

So much better than my lecturer's explanation, what would we do without people like you on the internet!

[@iliakorovin]

You are a legend! Most useful, easy to understand straight forward lectures ever! Helping me heaps with my final year thesis of designing a inverter controller :-)

[@linnl563]

Your videos are so great. You managed to teach subjects in a such simple yet effective way. Thank you so much!

[@abidriaz_]

My university lecture on this topic was two whole hours and I got it in under 13 minutes here, thank you for your clear explanation.

[@johnteoss]

you are awesome! you manage to explain the example together with the theory fully in a small amount of time! that's how any youtube educator should be, make it clear and concise, thanks mate for your effort

[@christopherkirley8054]

You are really excellent at explaining this, my state university controls prof could never dream to convey the Routh, root locus or Nyquist stability methods as well as you have in your videos. Thank you very much!

[@hazrlkicerik3207]

Your pattern approach is so good, I appreciate it. Memorizing equation without knowing its logic behind them is worse than memorizing the pattern without knowing the logic behind it.

[@toufiq652imam]

Cheers mate, you've explained it amazingly

[@mathand69]

No joke understood this completely in 10 seconds vs 3*45 min lectures! Legend!!!

[@ChrisTheDIYguy]

Great video, very clear explanation. Definitely going to be watching more of your videos to get through this Linear Controls class.

[@merlissoto3923]

Robert Mandell, I think the same you do! Brian, tus clases son excelentes, la manera de transmitir la información de una manera significativa, concisa, oportuna y gráfica. En verdad muchas gracias por explicarme de una manera tan eficiente!!!! You're a great teacher!!!

[@waleedalrashed1411]

Two lecturers * 2 hours each to explain Routh-Hurwitz Criterion in my university. summarized under 13 minutes in this video. Seriously this pattern of filling the array is much faster than memorizing the equations for each row!. I appreciate your hard work.

[@TheMoonlight450]

Thanks for uploading. I've been having problems on how to get the 4th rows and so on but with the pattern introduced in the video, I now understand. Thank you. 😊😊

[@fethullahpolat8621]

I wish you would continue to share videos. I think As a Control Engineer candidate in Turkey, I say, you are explaining better than you were told at the university. So glad I have you.

[@BrianBDouglas]

Thanks! Even though I don’t post on my channel anymore I still make videos for the Matlab channel. You can find them all here: engineeringmedia.com/videos.

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You enunciate your words clearly which means I can actually follow this tutorial! Thank you and keep up the good work :D

[@hyunochang7694]

You saved more lives than you think with this video. 100%. Appreciate the great explanation.

[@elizaldodesousajunior9077]

Great explanation! Better than my entire semester classes at uni. Thank you very much, Brian!

[@eshaninegi4451]

hey brian , just watched ur lecture, very helpful, planning to go through the complete series,,thanks, great work done

[@arpitlahoti8720]

Awesome Explanation in just 13 minutes, whereas people in college can't explain it in 50 minutes with this much clarity... Great Job :)

[@MarixosDesigns]

2 weeks worth of classes in 13 min video. Thank you !

[@yunusemrekoc3462]

Sir, this is perfect explanation. You explained 50 min class in a ten min. Thanks, hopefully you are going to keep recording.

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[@audreydemafo9332]

Awesome thank you Sir. I particularly like your tip for filling up the third and following rows of the table

[@neelreddy4523]

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[@insideSFPD]

This 12 Min probably saved me a few hours trying to understand. Thanks a lot!

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Short and Sweet explanation. Good job!

[@dhavalpatel8419]

I could tell you put a lot of time and effort into this video, It helps a lot. Good Job!

[@PunmasterSTP]

Though this video is nine years old now, I also think it's still one of the best! Everything from the background knowledge provided to the crispness of the explanation and the tidy handwriting was wonderful. On a side note, I think the point about a sign change in the original polynomial is related to Descartes' rule of signs; specifically, if there is an odd number of sign changes, then there must be an odd number of positive real roots. In any case, thanks again!

[@ishvananthan4382]

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[@o0ORodriguezO0o]

Two thumbs up, iv been staring at my automatic control book for an hour trying to dechipher a RH-array. Piece of cake solving it now, i subscribed!

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Clear, concise and informative. Very well done. Thank you. 👍

[@allanramos7201]

Clear as always, thank you so much for your great explanations.

[@jeevanr1532]

very interestingly explained while touching the ground basics.The entire list is awsum. More videos please!!

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You have spared our lives, we are eternally grateful!

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[@BillyBob-bo9tn]

Amazing video. You could not have made it any simpler. Wish I found your channel sooner. Would have made my controls class much easier

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[@flborges]

can't believe this video is 12 years old . awesome, lecture!

[@123jikku]

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Great explanation. I have a control systems test coming up and this gave me the confidence I needed lol

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Excellent explanation!

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[@kponfire]

Brilliant Explanation!

[@supersuperintendant]

You should really be getting paid to do this, your teaching is simply phenomenal

[@tsunghan_yu]

That pattern for memorizing the Routh array is ingenious!

[@saix441]

Thank you so much, I was having such a hard time on this concept.

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[@poongkyelee2068]

Thank you so much! What an unbelivably understandable lecture

[@skruvbrallor]

Thanks! Instead of going to a 1.5 hour class about this, u manage to explain it in 13 mins!

[@jobta]

Hi Brian, first of all, great vids, they help a lot. All of your real life examples really make a difference understanding all the concepts. I would like to suggest you to "fix" the playlist order. This video talks about some concepts we have not heard about yet (if we are following the playlist order). You should put the "Stability of Closed Loop Control Systems" video before this one so we all can understand it all. And thanks once more!

[@stephanyaguilarrodriguez1786]

Conciso con lo que buscaba! Gracias! :D

[@MuffeLuffe2]

love this lessons. Eager for Nyquist stability criterion. BIG up!

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Thanks for your video and RH-man. It is really helpful for my understanding.

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Thanks Brian! ... very helpful

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these lecture are awesome, cause in classes we are only do math calculation and match the answers but here we know about the real meaning of control system n how math tool use for simplified the problems.

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[@psonney]

thanks alot, your videos are very helpful in learning and give deeper sense of concepts. please do a video on the proof of Routh-Hurwitz Criterion.