The Root Locus Method - Introduction

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  • เผยแพร่เมื่อ 1 ก.พ. 2013
  • Get the map of control theory: www.redbubble.com/shop/ap/550...
    Download eBook on the fundamentals of control theory (in progress): engineeringmedia.com
    The Root Locus method is a fantastic way of visualizing how the poles of a system move through the S-plane when a single system parameter is varied from 0 to infinity. I show how to interpret the locations of poles in the S-plane, and how they are tied back to system requirements.
    Don't forget to subscribe! I'm on Twitter @BrianBDouglas!
    If you have any questions on it leave them in the comment section below or on Twitter and I'll try my best to answer them.
    I will be loading a new video each week and welcome suggestions for new topics. Please leave a comment or question below and I will do my best to address it. Thanks for watching!

ความคิดเห็น • 495

  • @Paddydothrock
    @Paddydothrock 8 ปีที่แล้ว +966

    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
      @hyderali4351 7 ปีที่แล้ว +6

      can't agree more !

    • @vuongngo2181
      @vuongngo2181 5 ปีที่แล้ว +3

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

    • @mrsblackviper
      @mrsblackviper 2 ปีที่แล้ว

      well it take a lot of effort to achive that.

  • @neroskywalker9183
    @neroskywalker9183 7 ปีที่แล้ว +606

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

    • @keval761
      @keval761 7 ปีที่แล้ว +2

      NeroSkywalker which uni? xD

    • @avrillovugne
      @avrillovugne 7 ปีที่แล้ว +5

      National university of singapore

    • @TheTeladras
      @TheTeladras 6 ปีที่แล้ว +4

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

    • @Nazirm7
      @Nazirm7 6 ปีที่แล้ว +29

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

    • @julius8631
      @julius8631 6 ปีที่แล้ว +1

      Same here

  • @ianhanley1213
    @ianhanley1213 5 ปีที่แล้ว +56

    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
      @fac7orcosplay ปีที่แล้ว +4

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

  • @BrianBDouglas
    @BrianBDouglas  11 ปีที่แล้ว +55

    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
      @psp_online 9 หลายเดือนก่อน

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

  • @anantchopra1663
    @anantchopra1663 4 ปีที่แล้ว +4

    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!

  • @aminijooni
    @aminijooni 8 ปีที่แล้ว +27

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

  • @dorsaghaemi
    @dorsaghaemi 8 ปีที่แล้ว +1

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

  • @dinmukhamedzardykhan5815
    @dinmukhamedzardykhan5815 9 ปีที่แล้ว +19

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

  • @Carrierski
    @Carrierski 9 ปีที่แล้ว

    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.

  • @davoodseify3624
    @davoodseify3624 4 ปีที่แล้ว +11

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

  • @Bahloola17
    @Bahloola17 9 ปีที่แล้ว +6

    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 :)

  • @nikosips
    @nikosips 5 ปีที่แล้ว

    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 !!

  • @Lolwutfordawin
    @Lolwutfordawin 3 ปีที่แล้ว +5

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

  • @yakovmarkov
    @yakovmarkov 9 ปีที่แล้ว +73

    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.

  • @abdulazizsalman6197
    @abdulazizsalman6197 3 ปีที่แล้ว

    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

  • @gang57
    @gang57 9 ปีที่แล้ว

    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

  • @user-kv1eg6cv4z
    @user-kv1eg6cv4z 5 ปีที่แล้ว

    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!

  • @elzarqua
    @elzarqua 7 ปีที่แล้ว +1

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

  • @Rmkrh
    @Rmkrh 3 ปีที่แล้ว

    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.

  • @bobseagull7600
    @bobseagull7600 4 ปีที่แล้ว +1

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

  • @ahadajaz674
    @ahadajaz674 2 ปีที่แล้ว

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

  • @RobBabu
    @RobBabu 5 ปีที่แล้ว +5

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

  • @jorgerive7335
    @jorgerive7335 5 ปีที่แล้ว

    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.

  • @chrisp7255
    @chrisp7255 8 ปีที่แล้ว +2

    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.

  • @nalostta
    @nalostta 6 ปีที่แล้ว

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

  • @greersimpson
    @greersimpson 11 ปีที่แล้ว

    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!

  • @NTNscrub
    @NTNscrub ปีที่แล้ว +1

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

  • @juliajordan5023
    @juliajordan5023 11 ปีที่แล้ว +3

    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!

  • @user-nj3xo3yc1t
    @user-nj3xo3yc1t 4 หลายเดือนก่อน

    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.

  • @Jkemp-yq4qq
    @Jkemp-yq4qq 3 ปีที่แล้ว

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

  • @santiagoricoy1313
    @santiagoricoy1313 หลายเดือนก่อน +1

    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?

  • @MrRawnik
    @MrRawnik 8 ปีที่แล้ว +33

    brian you are awesome. like your methodology.

  • @gabrieljalil1562
    @gabrieljalil1562 9 ปีที่แล้ว

    Great tutorial! Not that many tutorials of this quality discussing engineering subjects. Keep up the good work!

  • @Pyrohawk
    @Pyrohawk 3 ปีที่แล้ว

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

  • @frl-less9282
    @frl-less9282 5 ปีที่แล้ว

    Really appreciate your videos! You made me understand the whole control system thingy in such a short time. I tried to study myself but it took me days to understand the basic. You are awesome!!!

  • @jcapper2
    @jcapper2 4 ปีที่แล้ว

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

  • @19hashan93
    @19hashan93 10 ปีที่แล้ว +1

    THANK YOU SO VERY MUCH DR. BRIAN!! In a little over 10 minutes, you managed to teach a topic that I couldnt understand in 2 hours at class. You are extremely awesome for uploading these. We are eternally grateful! Liked and Subscribed! Its also amazing how you linked this to a real world engineering problem so well. It reminds one that engineering is not just numbers and maths but directly mirrors what goes on in reality. (btw, the "we messed up" cartoon was a brilliant idea!)

  • @zahidfaheem3233
    @zahidfaheem3233 4 ปีที่แล้ว +1

    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

  • @jaimemartinezdiaz1004
    @jaimemartinezdiaz1004 4 ปีที่แล้ว

    These videos tie all my lectures together. Amazing

  • @protiiooi
    @protiiooi 8 ปีที่แล้ว

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

  • @WarheadWolfOnGo
    @WarheadWolfOnGo 10 ปีที่แล้ว

    I am a fan of your channel now! Really informative and to the point vidoes with good notes and illustrations. Feeling lucky to realize some concepts :)

  • @sudmudmud357
    @sudmudmud357 3 ปีที่แล้ว +1

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

  • @magyarandrastamas2485
    @magyarandrastamas2485 8 ปีที่แล้ว +1

    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!

  • @MrAskOnce
    @MrAskOnce 10 ปีที่แล้ว

    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

  • @sizmostudent
    @sizmostudent 5 ปีที่แล้ว

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

  • @deekshas3936
    @deekshas3936 8 หลายเดือนก่อน

    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!!!

  • @JamesTanSL
    @JamesTanSL 8 ปีที่แล้ว

    Sir thank you for the concept and elaboration, you made me appreciate Root Locus more.
    Btw, the panic stick-man? GENIUS!

  • @Berilium2
    @Berilium2 8 ปีที่แล้ว +1

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

  • @abdohajar908
    @abdohajar908 6 ปีที่แล้ว

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

  • @elmerosorto1680
    @elmerosorto1680 2 ปีที่แล้ว

    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.

  • @ericjames7283
    @ericjames7283 ปีที่แล้ว +1

    TH-cam 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 🍻

  • @ainagalofreballbe8175
    @ainagalofreballbe8175 5 ปีที่แล้ว

    I love you so much for this video right now, I had totally forgotten about this concept because I hadn't developed an intuition for it. Now I believe I can actually use it for something else than a passing grade in an exam. Thanks!

  • @MrDoz01
    @MrDoz01 11 ปีที่แล้ว

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

  • @shovon9412
    @shovon9412 3 ปีที่แล้ว

    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

  • @shengzhu9716
    @shengzhu9716 8 ปีที่แล้ว +1

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

  • @pedroklepa
    @pedroklepa 7 ปีที่แล้ว +1

    This is a skilled explanation on the subject and thus super helpful. Thank you!

  • @cryptoko2292
    @cryptoko2292 7 ปีที่แล้ว

    man i really like your examples and the way you explain things !!great job

  • @danielcastroviejo7202
    @danielcastroviejo7202 6 ปีที่แล้ว

    You're the man Douglas! Gotta love them control vidz you got here!!

  • @idrissalim8348
    @idrissalim8348 4 ปีที่แล้ว

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

  • @sowasvonkeinplan
    @sowasvonkeinplan 5 ปีที่แล้ว +8

    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.

  • @re.liable
    @re.liable 2 ปีที่แล้ว

    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

  • @MusicGameFinatic999
    @MusicGameFinatic999 3 ปีที่แล้ว

    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.

  • @matthewoliver88
    @matthewoliver88 5 ปีที่แล้ว

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

  • @imafirinmalaser
    @imafirinmalaser 11 ปีที่แล้ว +1

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

  • @MANGOBAPRODUCTIONS
    @MANGOBAPRODUCTIONS 6 ปีที่แล้ว

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

  • @xDR1TeK
    @xDR1TeK 9 ปีที่แล้ว

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

  • @drsandeepvm5622
    @drsandeepvm5622 2 ปีที่แล้ว

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

  • @mezzoedbey3802
    @mezzoedbey3802 3 ปีที่แล้ว +1

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

  • @shrikantmahapatra5135
    @shrikantmahapatra5135 7 ปีที่แล้ว

    Your explanation of concepts is awesome!!

  • @q1q1q1q1q1q1q1q11
    @q1q1q1q1q1q1q1q11 ปีที่แล้ว

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

  • @Barreleye
    @Barreleye 6 ปีที่แล้ว

    Awesome Class Brian. Great refresher now that I'm studying for my FE!

  • @thinquin
    @thinquin 10 ปีที่แล้ว

    Brilliant Lecture... I am so much less confused... THANK YOU!!!

  • @shanilperera
    @shanilperera 9 ปีที่แล้ว +1

    Thanks a lot , a great effort Mr.Brian (Y) being supported me in several difficulties.

  • @nkk918
    @nkk918 11 ปีที่แล้ว

    YOU SHOULD HAVE DONE THIS AGES AGO! I absolutely love the videos. To the point, interesting, amazing! Simply amazing! Thank you so much :) I have an exam I'm sure I'll pass thanks to you :) I'll even take up contlrol as an elective now coz you've made me understand and fall in love with it. THANK YOU!

  • @condedennisful
    @condedennisful 9 ปีที่แล้ว

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

  • @bereketyisehak5584
    @bereketyisehak5584 4 ปีที่แล้ว

    Wow, I have gotta say your lectures are sick! Thank you!

  • @nickvonklemperer4807
    @nickvonklemperer4807 11 ปีที่แล้ว

    The night before an exam, this has got to be the best channel I've discovered on youtube. Our lecturer for the 3rd year control course has made an art form out of being vague. This has clarified so much. Is it possible to get a PDF of the video, like a combination of all the notes you've written during the video just on one long PDF.

  • @LuigidBlackhouse
    @LuigidBlackhouse 11 ปีที่แล้ว

    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.

  • @myonlynick
    @myonlynick 4 ปีที่แล้ว +5

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

  • @charlesellis1097
    @charlesellis1097 6 ปีที่แล้ว

    Great video! Very well done and assumed no previous knowledge so all content was well explained.

  • @condedennisful
    @condedennisful 9 ปีที่แล้ว

    GADDAMMIT!!!! thats the best explanation i've ever seen on youtube and I use to study from youtube.

  • @luisalfonzogonzalez2265
    @luisalfonzogonzalez2265 7 ปีที่แล้ว

    Brian, your videos are saving my life! thanks

  • @ishakaimen1576
    @ishakaimen1576 8 ปีที่แล้ว +1

    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

  • @fisigagmail
    @fisigagmail 9 ปีที่แล้ว

    Man you are so good at explaining!!!!
    Thanks for sharing

  • @jacquesnicolay9221
    @jacquesnicolay9221 7 ปีที่แล้ว +1

    Thanks for making TH-cam useful. Thank you sir.

  • @fawazmohsin2287
    @fawazmohsin2287 3 ปีที่แล้ว

    This series is the best way to learn about root loci

  • @ShahzadHassanBangash
    @ShahzadHassanBangash 8 ปีที่แล้ว

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

  • @akankshapassi8962
    @akankshapassi8962 8 ปีที่แล้ว +1

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

  • @user-tw1nl5jr4k
    @user-tw1nl5jr4k 8 หลายเดือนก่อน

    Very detail introduction , what a helpful video!!

  • @user-mt6bc1ji7l
    @user-mt6bc1ji7l 6 ปีที่แล้ว

    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 !

  • @ignorusguru
    @ignorusguru 11 ปีที่แล้ว

    This is awesome. Really helpful, clear and engaging. Thanks

  • @ostapkurtash6359
    @ostapkurtash6359 5 ปีที่แล้ว

    Man I love you! Hope I can do it tomorrow in my final exam. Many thanks!

  • @yasmeenalsadi9557
    @yasmeenalsadi9557 6 ปีที่แล้ว

    sir I think you rock!
    i've learnt what control is really about in this video. thank you!

  • @paulleonardwolff8161
    @paulleonardwolff8161 3 ปีที่แล้ว

    Perfect video! Brilliantly taught. Thank you!!!

  • @pridez6132
    @pridez6132 4 ปีที่แล้ว

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

  • @jaydesai7386
    @jaydesai7386 4 ปีที่แล้ว

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

  • @Acidhands
    @Acidhands 2 ปีที่แล้ว

    Amazing! Thank you for creating these videos.

  • @faraz4tube
    @faraz4tube 2 ปีที่แล้ว

    This is a bloody amazing clear video!!

  • @kdmq
    @kdmq 6 ปีที่แล้ว +80

    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
      @rubenayla 4 ปีที่แล้ว +7

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

  • @TheBirdMan
    @TheBirdMan 9 ปีที่แล้ว

    Thanks very much. Great video. I understood every single point and got the whole point of importance of Root Locus