The Root Locus Method - Introduction

[@Paddydothrock]

I never thought I'd see the day when someone could produce a youtube tutorial video which progresses in a logical way, makes sense throughout, doesn't have a highly irritating voice, uses a decent microphone and doesn't constantly fumble with it, stays on topic and has not just legible but actually impressively neat writing.. Thankyou so much, yours are the best tutorial videos I've seen. Please consider giving some lessons to Kahn Academy.

[@hyderali4351]

can't agree more !

[@vuongngo2181]

You are very detailed and thorough. Keep it up!!

[@mrsblackviper]

well it take a lot of effort to achive that.

[@ianhanley1213]

I am a fifth year Aeronautical engineering student, currently using root locus to design aircraft flight control systems. This fifteen minute video is a more complete, effective and absorbable explanation than I have been given throughout my degree.

[@fac7orcosplay]

Currently studying Electrical Engineering, I have to pass the final exam of Automatic Control, this videos were much more helpful than the entire course

[@neroskywalker9183]

I've learned more of the basis of root locus in this video than in my whole course in the university.

[@keval761]

NeroSkywalker which uni? xD

[@batman_1st]

National university of singapore

[@TheTeladras]

Could it be that u did not listen during the courses? :d

[@Nazirm7]

Yeah probably didn't because his professor couldn't explain for shit like mine or didn't do any examples

[@julius8631]

Same here

[@BrianBDouglas]

Hello, I briefly cover that in my video called Stability of Closed Loop Control Systems starting at around 6 minutes. The even faster answer though is that the time response of a pole is e^st, where s is the location of the pole in the s-domain. If s is negative (left half plane) then as time get's larger e^st gets smaller (stable). If s is positive, then e^st gets larger as time increases. No matter how many poles you have, it only takes 1 unstable pole to drive the system to infinity.

[@psp_online]

Pls make a video on designing controllers (PI or PID- is it possible?) for non minimum phase systems.

[@NTNscrub]

You helped me understand the purpose of a root locus in 5 minutes better than my prof did in two lectures. Thank you.

[@ahadajaz674]

You are literally the GOAT. You broke down a concept and explained it so well with amazing visualizations. This video deserves an award!

[@shovon9412]

This is a gold mine for any control engineer who is still in the learning phase or even for those who is just revising man

[@dorsaghaemi]

Thanks Brian. After 12 years in Control Engineering, This is the first time I have this level of understanding, which you provide.

[@Lolwutfordawin]

my uni has done an awful job at online classes, these series of yours are a life saver! so wonderfully explained!

[@abdulazizsalman6197]

i got tears on my eyes when i watched your explanation, it is the greatest lesson i have heard in entire my life even though i am in a university with among of useless lecturers , thank you so much

[@dinmukhamedzardykhan5815]

I am subscribed to you forever.. A lecture have never been so clear..

[@sudmudmud357]

Not everyone got the skills to teach and nail it right there, I feel like I can obtain a degree just attending KZbin videos, your videos are one of the reasons. Keep up the good work .

[@Rmkrh]

Thank you Brian for these videos. I am feeling like I am reborn after watching this. 10 mins of your video has taught me more than what 6 months of studies in my university have.

[@ChrisjayH1]

I think my entire class is watching your videos. Thank you so much for these.

[@darrenp83]

Yup! We are all watching these videos!

[@nemesis3255]

Darren P And I had to find out all by myself...

[@Plenty_for_Twenty]

KZbin University prevails again. I was not entirely grasping RL from my professor and the textbook. Just kind of head down and mathing into the unknown. Your video placed a ton of perspective into my study. Thank you Brian Douglas 🍻

[@DhirenDave-v4g]

The way you have explained the concept with very illustrative examples is fantastic. You are doing a great service to the engineering community by this effort. Please keep it up. Thank you.

[@bobseagull7600]

It's interesting to see just how much people appreciate good quality videos. Nearly a million views for the nerdiest content on KZbin. Congrats and thank you for your work!

[@yakovmarkov]

Hi Brian, thank you for the lectures, I really appreciate your job. I'd like know if it is possible you make a PDF file of your video lectures allowing us check the notes later.

[@santiagoricoy1313]

I met an old coworker of yours! She heard I was doing controls and immediately recommended your videos; I smiled and said, yes, I've watched every single one. If I taught the class, the lectures would just be practice problems, and the homework would be to watch your lectures. 😂 Also, at about 7:29, I thought the imaginary portion was the damped frequency, not the natural; I thought the requirement forms a circle. Anyone able to help me understand?

[@anantchopra1663]

One of THE best videos I've ever seen on Control Systems. I learnt far more from your video than my control systems course at my university. Amazing explanation with wonderful insights! Hats off to you for producing such great work!

[@MusicGameFinatic999]

Dude you are the MAN. I'm about to be able to pass my control system design course thanks to these videos. Thank you so much.

[@deanw8206]

You need to grow your channel and cover more topics. You just explained the 2.5 hours of confusing controls lectures I sat through in under 15 minutes.

[@fawazmohsin2287]

This series is the best way to learn about root loci

[@magyarandrastamas2485]

If only 1/10 of the teachers had such a huge enthusiasm to make the students got the curicullum then people would love to go to school. Good teacher equals knowledge + fedback enthusiastic repetition till the understood lecture equals the determined level. :) Well done Brian!

[@johnhan75]

oh my god.. Your video is so much helpful, I can't belive it,,, I am an university engineer student, and I actually think you teach way better than our proffessor, eventhough school I am attending is quite a good school.. thank you so much for lecture, have a good day!

[@nalostta]

man,you explained not just the technique ,but also the right questions that should go through ones mind while doing this...amazing!!!

[@Carrierski]

This is literally the best explanation i have EVER seen in my life. Very clear, the speed is perfect and answers all important questions. Instant sub.

[@SolidSnakePlissken108]

i am racing against time to study for an exam which is about 8 hours away (it is my last ever exam at uni i might add), and 3 hours ago i was in utter panic that i will fail at the Root Locus problems that await me. i cant happily say: not anymore. why? because of your Root Locus lectures. Thank you.

[@nikosips]

I have no words.. thumbs up from an undergrad of electrical and computer engineering! The intuition you give on this subject is amazing and really helpful . Keep the videos coming !!

[@gang57]

i must post this, i just came back from my exam "control systems" today. during my preparations i used all your videos about the root locus and the nyquist. I must say, thank you very very much Brain, because of you i managed to get the proper insight i needed. your techniek is awesome, good animated and keeps the interest locked on target! thanks many times bro

[@aminijooni]

you're my hero Brian. well explained and super easy to understand. thank you

[@seang5476]

Thank you sir! Helping students 10 years later

[@chrisp7255]

I am using this to study for a final right now, and I am so mad I didn't discover this earlier. This would have cleared up an entire semester's worth of confusion. Thanks for the explanation Brian, this is really well done.

[@sowasvonkeinplan]

It's wierd... I've been attending 3 lectures on system's theory and control theory during my university studies several years ago and I have the impression that the first 5 minutes of your video tought me a lot more about one of the most useful methods frequently used in control theory than all of the lectures together. Maybe my point of view is a little bit biased as there's a lot of previous knowledge so everything seems total intuitive. Anyway, I wished my professors had been as talented as you explaining and presenting stuff like that. Great video.

[@davoodseify3624]

Man your explanation was extraordinary. I’ve learned so much here than anywhere else. It helps me so much. Thank you🙂🙏

[@deekshas3936]

This is such a great video oh my god. Our teacher didn't even tell us what k is supposed to be. We just solve problems mindlessly. But you helped me to understand the meaning and the real use of the root locus. It was so intuitive that something just clicked in my brain. Also along the way, your explanation of the s plane helped me to fill in some gaps in understanding. The video was very engaging throughout. Thank you so so much!!!

[@Jkemp-yq4qq]

Absolutely fabulous! I love the practical application. Very helpful You taught me more in 13 minutes than I learned in 4 hours of lecture.

[@pridez6132]

Brian, your 13 mins lecture is more clear than my lecturer who used 3 hours to explain this one.

[@JD-jl4yy]

It's embarrassing how much better this explanation is compared to my professor's...

[@Pyrohawk]

Your tutorials are amazing. You've given a gift to humanity.

[@imafirinmalaser]

Brian, you are amazing. Honestly. As an undergrad control system engineer, I am indebted to you!

[@matthewoliver88]

I have a test tomorrow and this is the first video that i clicked on. You're my hero

[@guruprasad_1984]

Super Brian...you have covered beautifully the significance and notion of root locus in a 13 minute video....

[@余坤奇]

we dind`t learn any thing about the loucs root method but our teacher ask us to do a course work with this. thank for u help , your video helped me a lot !

[@greersimpson]

Thank you so much you I just watched all of your lectures in one sitting and it literally just clicked. Your the man, keep it up!

[@q1q1q1q1q1q1q1q11]

Thanks for your clear teaching style, it is much appreciated.

[@jorgerive7335]

Your are a talented instructor!! Excellent job on these tutorials --they move quickly, they're thorough, and your explanations are clear and presented in a very easy-to-understand fashion. Kudos and thank you.

[@ShahzadHassanBangash]

great work sir keep up the good work our society need people like you .

[@ryanvickramasinghe1971]

give this guy tenure already.

[@kdmq]

My professor never explained everything up to 6:30 and just explained root locus and threw me off for half the semester. I should have skipped more classes!

[@rubenayla]

That's the conclusion I come to everytime I go to class.

[@debasismt]

In my college time I thought I will never be able to understand this. Now its crystal clear.

[@kevincorrales9774]

Left in the middle of my lecture for this topic. That’s how good this video is lmao

[@xxanimangaloverxx]

I wish I could print out what write out in your videos. Best notes ever.

[@myonlynick]

0:00 up to 6:30 is PACKED with a load of insight info!

[@BrianBDouglas]

Hey James, no problem. The transfer function is 1/(s^2 + 1.5s + k). For such a simple transfer this is the easiest way. Put the den. in standard form which would be s^2+1.5s+k = s^2+2*z*w*s+w^2. When k = 1.1 then it's easy to solve for the damping ratio. w = sqrt(1.1) =1.049. Then z = 1.5/(2*1.049) = 0.715. Of course the root locus is a good way to visualize how the damping ratio changes with k. On the diagram zeta = sin(angle between pole to origin and the vertical axis).

[@jacquesnicolay9221]

Thanks for making KZbin useful. Thank you sir.

[@Bahloola17]

amazing is the way you explained it!!! I read about root locus 100 times but never understood the logic behind it... now it makes sense :)

[@akankshapassi8962]

+brian douglas you are love. Your videos are gonna save my exam tomorrow. Thanks.

[@EdgarPoe_Raven]

4 minutes to get to know what I NEEDED. Dude,you have no idea how grateful I am. Perfectly explained. I should donate you to your Patreon or PayPal or whatever, for the coffee at least, you fucking deserve it.

[@condedennisful]

excellent explanation. i like how you explain very quickly and don't waste time like other videos.

[@jaimemartinezdiaz1004]

These videos tie all my lectures together. Amazing

[@MrDoz01]

the amount of planning that must go into this ...so good ...thank you so much

[@Postermaestro]

Love the "side notes" in your videos. It seems to me like these are things that have confused you in the past, and most likely confuse students (like myself) taking these courses.

[@elmerosorto1680]

Amazing explanation, i am reviewing all the content i've learn in these university years, because this is my last semester, thanks for the good work.

[@dr.ganeshbhokare6547]

Very simple and conceptual explaination of root locus...really very impressive due to to simplicity of explaination

[@pelonags]

You're a student's dream, Brian! Thanks so much!

[@idrissalim8348]

this could replace almost any control theory course in engineering schools!! Great work

[@サメ頭のくま]

This is a REALLY good explanation of this. I came for later R.Locus stuff but I decided to watch this intro video (so I understood 99% of it prior to watching). Your explanations are very thorough but concise. I have a friend taking Control Systems next term and I'm going to recommend your videos!

[@perakgaming3917]

I have to say, i am not native speaking English, but anyways, I understood everything, well done on that tutorial... It was explained quite nice, and I think, it will help on my exams today. Thanks a lot for this video.

[@RobBabu]

Great Video Brian! You're a huge help to all of us struggling with control systems (aka all of us) :)

[@abdohajar908]

Sir, you don't know how helpful these videos are!!! Thank you :)

[@sizmostudent]

Finally, I understand it, I have been trying to understand it for 2 months, thanks a lot for this amazing video!

[@khamisi__6378]

thx a lot i was going down a rabbit hole reading the chapter.

[@PunmasterSTP]

I'm so glad I came across your channel, because your videos are so superb. I'm sure other commenters have already given much praise, and so long ago, in more eloquent ways, so I'll just say "Thank you!"

[@prateekmuthiahnitap8447]

Hi samter from Neso academy comment section ( ͡° ͜ʖ ͡°)

[@PunmasterSTP]

@@prateekmuthiahnitap8447 Hello back! How are you doing? Also, are you studying for the JEE or another test? As for myself, I tutor in electrical engineering a bit, so I try to stay sharp...

[@prateekmuthiahnitap8447]

@@PunmasterSTP I'm doing great! Well atleast for now... Wish me luck for my currently ongoing college exams ^^

[@PunmasterSTP]

@@prateekmuthiahnitap8447 I'm glad to hear it, and best of luck on your exams!

[@MrAskOnce]

Very well put together... I'm about to have to develop the root locus for a project I have in my controls class and this is so much better of an explanation in ~13 minutes than my professor has given in 3 lectures. Woo. Will continue watching the others -- thank you for posting this. xD

[@hebazo3ar]

You are an engel , I am crying of happiness.

[@protiiooi]

This is awesome! I finally understand what my teacher has been trying to teach for the past few weeks

[@StevenMcconnon]

Thank you. I'm an engineering student who is trying to teach himself control systems and this helps a lot.

[@hetshah7490]

This guy is Platinum ... Now I will start attending your lectures instead of college lectures

[@Berilium2]

Good man Brian! You're saving my degree one video at a time!

[@ECOMMUSK]

these are amazing examples. I did not know to think of it like that. It makes more sense when you say the marketing department says a system with a mass of 1 will sell the best, and the spring department wants to use a constant of 1 etc... thanks!

[@drsandeepvm5622]

Been teaching control engineering since many years, but understood today 😇. Thank you Sir 😊

[@juliajordan5023]

You are awesome! Really great examples, practical applications, the graphs help a visual learner such as myself, and you draw awesome pictures and comics! Keep up the good work! I am so excited about control theory!

[@shengzhu9716]

Great teaching. You really help me understand control much better!

[@LuigidBlackhouse]

Thank you, you saved my live (or at least my grade). This video (and the other two) helped me catch up some lectures I missed due to an illness.

[@sullivan3503]

At 7:30, you mention that natural frequency requirements dictate that the pole must lie inside a horizontal band. However, this would correspond to limiting the imaginary part of the mode. The natural frequency corresponds to the norm of the pole, which would mean the pole must lie inside or outside of a certain circle.

[@jaydesai7386]

very well and logical video . Understanding level is very high . Well done.

[@MANGOBAPRODUCTIONS]

Thanks for your passion of sharing knowledge to the world, keep the good work. You saved my control course and made me enjoy it.

[@mohamededbey]

Great content as usual Control engineers are very proud to have you

[@jcapper2]

I'm honestly shocked how well you've explained this. Thank you so much!

[@jessstuart7495]

If you write the transfer function in a different form, you can directly relate b and k to the damping ratio. TF = 1/(s^2 + b*s + k) => 1/(s^2 + 2*ζ*ω0*s + ω0^2) b = 2*ζ*ω0, and k=ω0^2 b = 2*ζ*sqrt(k) rearrange to ζ = b/(2*sqrt(k)) k is multiplied by factor p, sqrt(k) will multiply by a factor (sqrt(p)). To maintain at-least a 0.75 damping ratio, you'll have to multiply b by a factor of sqrt(1.1) = 1.049. b_new = 1.5*1.049 = 1.6 (only keeping significant digits)

[@re.liable]

I hope you won't ever take down these videos. It's still a little bit over my head but I expect to be coming back to these over and over again lol EDIT: I just noticed that I'm already subscribed. I must've seen another video series from you before. You're the best, thank you very much

[@codesrhodes3757]

Just amazing sir. Don't have the words to describe how awesome you teach It is fabulous.

[@elzarqua]

wow, learnt more in this tutorial than i have all semester! love how you link everything together! cheers!

[@swetabjahazra8050]

Much better than professor lectures!!!

[@zahidfaheem3233]

love it when you find a video that gives more than you expected! thanks a lot bro and hope the book becomes a bestseller :D

[@ishakaimen1576]

Your videos are so good and useful.Thank you so much. May I suggest? if you show how to solve one or two examples on the concept in hand, that will really help the viewer understand the concept. Thank you again for the helpful videos

[@BrianBDouglas]

viraj shelke and Suraj more, It's hard to explain in writing but I'll try. Start with the root locus form of the transfer function: G(s)/(1+K*G(s)) and then separate G(s) into numerator and denominator. N(s)/(D(s) + K*N(s)). Now if K is 0 then the transfer function is N(s)/D(s) which is G(s), so the roots start at the poles of the original transfer function. When K is increased the denominator D(s) + K*N(s) starts to behave more and more like just K*N(s) which are the zeros of the original transfer function. Does that help?

[@serialglobetrotter]

Brian Douglas sir , i have few problems , 1st ) there was a question where i was asked to plot the damping ratio line with just OS% given as 15% how do i do that? how to plot damping ratio line ? 2nd) how to calculate natural frequency & damping ratio in case of a 3rd order transfer function ? kindly please refer back...thank you!!

[@ph7ryan]

ID Jeet 1) There is an equation that relates %OS directly to zeta, %OS = exp[(-z*pi)/sqrt(1-z^2)]*100, where z is zeta (the damping ratio). There's a few ballpark, pre-calculated OS's that are good to remember, 5%, z=.7, 15%, z=.5, 35%, z=.3. So you would plot the z of .5 when given a OS of 15%. 2) 3rd order+ functions can always be broken into 1st and second order systems. You would simply factor out a first order to create a first order and a second order, and your natural frequency would be the frequency of the second order response.

[@serialglobetrotter]

ph7ryan thank you very much... that was helpful ..

[@ianhanley1213]

extremely useful, nice one brian you've just got me 20 marks in tomorrow's exam

[@xDR1TeK]

I loved it. Very smooth. I'm into oscillators and this is exactly what I do to find when my system will remain astable.