Sketching Root Locus Part 1

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  • เผยแพร่เมื่อ 14 ต.ค. 2024
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    Sketching a root locus by hand can be done by following some simple rules. However, more important than actually being able to sketch to plot is being able to use our knowledge to design compensators in the S-plane. Understanding how poles and zeros affect a closed loop control system allows you to predict what you need in order to build a stable system just by looking at the root locus.
    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 • 345

  • @jacquesvanniekerk6817
    @jacquesvanniekerk6817 9 ปีที่แล้ว +866

    You are the reason many future engineers pass control systems and receive their degrees. Please keep up the good work!

  • @jerikah8397
    @jerikah8397 8 ปีที่แล้ว +325

    "Each open-loop pole has its open-loop zero friend and they draw a path between the two. And if a pole or a zero doesn't have a friend then they go off to infinity searching for them."
    - Brian Douglas
    idk why but feelsss

    • @riyadrahman9844
      @riyadrahman9844 7 ปีที่แล้ว +21

      he got me there too
      0.0 .....poetic fucking engineering tutorial *.*

    • @TheSweBoo
      @TheSweBoo 7 ปีที่แล้ว +4

      LOVE IT SO MUCH

    • @Edge9404
      @Edge9404 6 ปีที่แล้ว +5

      Teaching done right. People learn so much more easily with examples like these

    • @tanmoysaikia6086
      @tanmoysaikia6086 3 ปีที่แล้ว +1

      That one single line got me though

    • @xlmentx
      @xlmentx 3 ปีที่แล้ว +2

      poor guys, forever searching for a friend. so sad D;

  • @lmd168
    @lmd168 9 ปีที่แล้ว +182

    Some of the lecturers from my University does NOT deserve their salaries. Thank you.

    • @esvna
      @esvna 9 ปีที่แล้ว +23

      +Lester H They get paid mostly for the research they do not how they teach. Most universities dont care about their profs teaching abilities.

    • @ffalkr
      @ffalkr 6 ปีที่แล้ว +4

      if i happened to be a lecturer of this subject then i'll just show this channel to my students and enjoy my salaries lol

    • @Cplusplus745
      @Cplusplus745 5 ปีที่แล้ว +2

      Are you talking about india?

  • @drumphil101
    @drumphil101 9 ปีที่แล้ว +57

    This channel has genuinely made me want TH-cam to implement a "Buy this guy a beer" button. Your videos are all so damn straightforward to understand, and you've taught me more in two days than I've managed to understand from 19 hours of lectures on the subject. Thank you so so much.

  • @BrianBDouglas
    @BrianBDouglas  11 ปีที่แล้ว +73

    One of my favorite controls books is "Control Theory Second Edition" by JR Leigh.  There are a lot of great books that describe the theory and show you the math, but this book explains most of the concepts in words. I think engineers can get a good understanding of "why" the theory as opposed to"what's" the theory from this book.

    • @mostafaelshafie4550
      @mostafaelshafie4550 2 ปีที่แล้ว

      you are a legend, you make this very easy.
      are you a practicing engineer?

    • @mostafaelshafie4550
      @mostafaelshafie4550 2 ปีที่แล้ว

      can you post the notes you used in the videos so we can use them to study?

    • @tingyialessandrolorigiano4044
      @tingyialessandrolorigiano4044 ปีที่แล้ว +1

      Hey Mr.Douglas, thank you so much for this textbook recommendation (& all of your lectures of course). You are a real G

  • @snoopyboop4375
    @snoopyboop4375 5 ปีที่แล้ว +7

    I've been trying to understand root locus sketching for hours and this video made me understand it better than one whole semester of lectures

  • @sibongakonkedludla997
    @sibongakonkedludla997 ปีที่แล้ว +1

    This video was uploaded 10 yrs ago but still impactful even today. I was struggling to sketch root locus. This video helped me pass Control Systems, my final elective for BSc Electrical Eng. Kudos to you Brian, you've earned a new subscriber.

  • @VermillionsX
    @VermillionsX 10 ปีที่แล้ว +363

    took 14 minutes on here to understand this compared to 32 lectures from a PHD of 22 years lol

    • @dghgfhjgnxdgfhtfyuiy
      @dghgfhjgnxdgfhtfyuiy 9 ปีที่แล้ว +5

      loool same here

    • @TheBirdMan
      @TheBirdMan 9 ปีที่แล้ว +1

      Colin Cassidy Exactly !

    • @oversoulzzz91
      @oversoulzzz91 9 ปีที่แล้ว

      Colin Cassidy exactly!!!

    • @EdgarPoe_Raven
      @EdgarPoe_Raven 7 ปีที่แล้ว

      Same!!!

    • @ygs6450
      @ygs6450 7 ปีที่แล้ว +4

      I'm so glad i can find this video before i study that much!!
      thanks brian

  • @studddy
    @studddy 10 ปีที่แล้ว +23

    Hi Brian...awesome..creative...crisp...what r u..an Artist? Engineer? Teacher?...I think a combination of all...thoroughly impressed...

    • @karjun99
      @karjun99 10 ปีที่แล้ว +1

      super

  • @abishaipatel20
    @abishaipatel20 4 หลายเดือนก่อน

    So much knowledge in just one video! I dont even know what to note down, I mean everything you say is just important. THank you

  • @Aleraptor
    @Aleraptor 2 ปีที่แล้ว

    Best thing my Control System teacher ever did: recommend this channel.

  • @rizkiputraprastio7553
    @rizkiputraprastio7553 2 ปีที่แล้ว

    I'll always recommend this channel for whoever is studying control systems.

  • @mathaeis
    @mathaeis 11 ปีที่แล้ว +6

    I just wanted to say thank you for the informative videos. They are doing a fantastic job at helping me prepare for my final and are vastly more interesting and explanatory than my book or lectures have been. Keep up the great work!

  • @TheEhsanTehran
    @TheEhsanTehran 9 ปีที่แล้ว +5

    your videos are AWESOME, I didn't learn a thing in class, but these videos saved my ass in the final exam.
    thank you so much

  • @pokeastuff
    @pokeastuff 6 ปีที่แล้ว

    An​ instructor who explains why what he is saying is important is an incredible tactic that unfortunately very few use. Amazing.

  • @marcoperez-maccollum4688
    @marcoperez-maccollum4688 7 ปีที่แล้ว +1

    Really concise and sufficient explanations in all of your videos I've seen so far. Excellent work, you have helped me so much... no need to go to lectures now, awesome content you are sharing with the world. Thank you

  • @thuctranminh2170
    @thuctranminh2170 5 ปีที่แล้ว +1

    I'm a student at university. love you sir. will watch all your videos. really helpful, informative easy to understand and time-saving. thank you very much

  • @marbrydav9698
    @marbrydav9698 5 ปีที่แล้ว

    Very useful. I'm a Canadian engineering student and this has clarified basic things my prof has ignored!

  • @ShajeeJurangpathy
    @ShajeeJurangpathy 7 ปีที่แล้ว +1

    Simply amazing, control systems has been by far the only major tough subject in my degree and your lectures nail it greatly! Well done and thank you!

  • @liuby33
    @liuby33 9 ปีที่แล้ว

    Our professor who graduated from MIT failed so hard on teaching this course. HUGE thanks and you are not even charging anything while our university asked for $37000 CAD.

  • @JoeGormanPB
    @JoeGormanPB 8 ปีที่แล้ว +1

    Well done. All your videos are very informative. I didn't think I'd find such a straightforward video on what I thought was an obscure topic for youtube. Cheers

  • @nilanshupatwa4777
    @nilanshupatwa4777 4 ปีที่แล้ว

    Your way of teaching is phenomenal and extremely easy to understand even though the material is not simplified!! Applied engineering with examples is what we need! Thank you!!

  • @jiannanli6099
    @jiannanli6099 10 ปีที่แล้ว +1

    the best lecturer ever! only 13 minutes covered 3 lecture(120min) of our lecture

  • @harishli2020
    @harishli2020 11 ปีที่แล้ว

    These are the best videos on net regarding control systems. Please upload more videos.

  • @stansem6806
    @stansem6806 8 ปีที่แล้ว

    I have exam about Control Engineering in University, just as you predicted and Your set of videos explained everything so much better than in the real course! I appreciate so much that people like you exist! You have great ability to explain rather complex things in a clear and structured way! Thanks a lot and wish you good luck in everything you do!

  • @NickWayne100
    @NickWayne100 7 ปีที่แล้ว +1

    This is amazing. Greatest teacher I've had the pleasure of listening to. Thank you

  • @VoodooStyx
    @VoodooStyx 8 ปีที่แล้ว +2

    Your tutorials are sooo useful, I wish you covered the subjects in all my other papers as well

  • @briannaaubin4484
    @briannaaubin4484 ปีที่แล้ว

    These videos are so helpful! My introductory controls professor was terrible and he tainted the subject for me forever, but this is helping me so much! Thank you!!!

  • @ventjemazzel8822
    @ventjemazzel8822 6 ปีที่แล้ว +1

    God bless you Brian; thanks to your way of teaching, I am finally getting it.

  • @xino951
    @xino951 3 ปีที่แล้ว

    mate I don't know if its cry of joy or the fact that my professor is not the best and I might fail but I thank you for the explanation, you are a king!

  • @Phughy
    @Phughy 8 ปีที่แล้ว

    This is a crystal clear explanation. Although I'm not English speaking, I learned so much more by watching your rather than the syllabus I'm using! Thank you so much!

  • @gustavhassel6721
    @gustavhassel6721 9 หลายเดือนก่อน

    "Each open loop pole has their open loop friend and if they don't have a friend they go out to infinity searching for them" those were probably the most beautiful words i have heard in my engineering education so far!

  • @Xtian982
    @Xtian982 7 ปีที่แล้ว

    Thank you so much for these videos. I haven't heard control theory explained this straight forward and easy to understand before.

  • @ryanlembitz4684
    @ryanlembitz4684 7 ปีที่แล้ว

    Beautiful explanation, you are making the world smarter.

  • @hyunsupark9684
    @hyunsupark9684 ปีที่แล้ว +1

    You saved my control journey at ust. Thanks 😎

  • @Joe-ng2mz
    @Joe-ng2mz 9 ปีที่แล้ว

    These videos are GREAT! Much better than the class I am paying an outrageous amount of money to take

  • @ariasardari8588
    @ariasardari8588 5 ปีที่แล้ว +1

    Your explanations are very very clear.
    Thank you so much

  • @youcefyahiaoui1465
    @youcefyahiaoui1465 10 ปีที่แล้ว +9

    Thanks Brian. This is really top notch quality videos. Could you please tell me which tools you used to make these videos? I have a channel and I would like to put up some material about non-integer order controllers up. Your methodologies seems the most exciting to do it.
    Thanks,
    Youcef

  • @seimela
    @seimela 9 ปีที่แล้ว

    English is my second language .......I like the way you explain it at 8:55 when you say by multiplying with infinity you put more importance on Q(s) THE WAY YOU USE DOMINACE AND IMPORTANCE is very much nice

  • @wireghost897
    @wireghost897 ปีที่แล้ว

    Finally. Finally I understand how Matlab knows where to put k. Thanks a lot.

  • @hashemzaitooni3296
    @hashemzaitooni3296 8 ปีที่แล้ว

    i would like to thank you for your awsome videos!! eventhough english is my second language and i live in Saudi Arabia, i fully get the concept behind your lectures because of the beautiful way you represent them
    again thanks alot

  • @Deprepsilon
    @Deprepsilon ปีที่แล้ว

    wow watching your videos for 30 minutes took away 3 weeks of confusions

  • @sarthakvarshney
    @sarthakvarshney 7 ปีที่แล้ว

    I have no idea how would have I understood it without you, when my exam days are on my head.

  • @forestsparks6143
    @forestsparks6143 5 ปีที่แล้ว

    Your video just saved me hours of struggling, thank you.

  • @Aleeeeyas
    @Aleeeeyas 6 ปีที่แล้ว

    I love youuuuu. Your video helps me a lot. I mean a lot. I take this course in german and can hardly understand it. You make my life easier. Can't really describe how gratefull I am.

  • @5aled32
    @5aled32 11 ปีที่แล้ว

    Great video! definitely subscribing.
    If i may ask are you an electrical engineer , mechanical engineer or other?

  • @redoxepk
    @redoxepk 11 ปีที่แล้ว

    I have learned so much from watching your videos. I'm taking a controls course right now and I thought it was awful until I came upon your videos. The material is extremely cool but my professor teaches purely the mechanics and it's frustrating to not understand how this stuff applies to the real world. You do a great job at making the material interesting and I can't thank you enough for taking the time to make these.

  • @kurianmathew3299
    @kurianmathew3299 8 ปีที่แล้ว

    I didn't like control system, but after seeing these videos i started understanding it. I am starting this a day before the exams and I think these videos helped me a lot. Do you have a series about signals?

  • @alexmiller6118
    @alexmiller6118 10 ปีที่แล้ว +26

    oh my god, you saved my life!

  • @travelwithvikky8355
    @travelwithvikky8355 6 ปีที่แล้ว

    U are the best teacher for this subject .

  • @NirmalKumar-sc5tk
    @NirmalKumar-sc5tk 5 ปีที่แล้ว

    Thank you so much sir. Your way of explaining things is exceptional.

  • @tuwenbo
    @tuwenbo ปีที่แล้ว

    thank you very much Douglas! I'm very expected your new videos!

  • @josepaul2000
    @josepaul2000 11 ปีที่แล้ว

    Excellent video! Great use of colours! And nice handwriting!... But most of all, excellent presentation of ideas... We need more teachers like you in this world!

  • @jamie123b
    @jamie123b 7 ปีที่แล้ว +3

    Thanks for using black background saving our battery life

  • @ncgrof
    @ncgrof 7 ปีที่แล้ว

    Thanks Brian. You were right in your assumptions, I have an exam coming for control systems course. Thanks again. That's a good video. Thanks.

  • @DocFrobnitz
    @DocFrobnitz 11 ปีที่แล้ว

    Same here, control was hell - glimpses of wonder, but only glimpses. After grad school + a few years in industry, I finally figured out what happened: my prof knew how to do the work, but he had developed zero intuition about why things work the way they do. So we had to take it on faith, which isn't very satisfying when you actually want to learn something.
    Brian has excellent intuition, and the ability to communicate it... in school I learned how, here I'm finally learning why. (Which rocks.)

  • @toufikzisan1064
    @toufikzisan1064 2 ปีที่แล้ว

    Lifesaver. Thanks for such clear and well structured tutorial.

  • @BigBrickGrandpa
    @BigBrickGrandpa 6 ปีที่แล้ว

    Thank you! You saved so many engineering students like me to pass their courses.

  • @matthewcsbrown
    @matthewcsbrown 11 ปีที่แล้ว +1

    You are a legend, Brian. It is rare to come across people who make such good videos. Are you a lecturer? Because if you aren't, you should be!

  • @cosmic_gate476
    @cosmic_gate476 4 ปีที่แล้ว

    Thanks for explaining the purpose behind doing stuff, it's the only difference between being able to vomit answers in a test vs. actually knowing what you're doing and why (which is what's needed out of education)

  • @crossbones911
    @crossbones911 7 ปีที่แล้ว

    You're doing the Lord's work, Brian.

  • @kenw4874
    @kenw4874 4 ปีที่แล้ว

    You are explaining it better than my tenured professor

  • @joshburger2217
    @joshburger2217 8 ปีที่แล้ว +61

    engineering jesus

  • @JimCAhn
    @JimCAhn 10 ปีที่แล้ว

    This and part 2 are excellent videos helping one grasp the concepts of a root locus sketch. However, I wish the comment at the end of part 2 about this not answering the university required questions such as intercepting the imaginary axis etc. was mentioned as a disclaimer in the beginning of this video. I am grateful that I now understand the principles, but I now have to spend additional time researching videos that explain those other rules, which I will need to know for exams (but never again in real life, thanks to Matlab). Still a big thumbs up!

  • @julianbell9161
    @julianbell9161 5 ปีที่แล้ว +11

    my professor found a way to make this seem outrageously difficult

  • @rosalbacostilla2098
    @rosalbacostilla2098 5 ปีที่แล้ว

    No words to say but thanks! My test of Engineering of Control is at Monday and I was about to lose my mind, thank u!

  • @tmosest
    @tmosest ปีที่แล้ว

    Great videos! Appreciate the content. I like playing around with digital graph parameters more even though that’s a modern luxury.

  • @MrAjFighter
    @MrAjFighter 11 ปีที่แล้ว

    Hi Brian, great video I look forward to the next part. However, in the mean time as I have an exam this week I was wondering if you could let me know how you define the last 6 rules just so that I have a consistent methodology to follow. Again, thanks for a great series of lectures!

  • @nguyenthituquy6759
    @nguyenthituquy6759 ปีที่แล้ว

    Thank for your video. It's so greater, make I wanna learn about it more !

  • @oleksandr0693
    @oleksandr0693 4 ปีที่แล้ว

    These videos are pure gold!

  • @KPImon.
    @KPImon. 7 ปีที่แล้ว

    Lester H1 year ago
    Some of the lecturers from my University does NOT deserve their salaries. Thank you.
    I'm with Lester :)

  • @dradexx
    @dradexx 6 ปีที่แล้ว

    Brian Douglas is the greatest!

  • @maddumpling119
    @maddumpling119 8 ปีที่แล้ว

    Hi Brian! Your videos helped me a lot and even my control lecturer recommended your videos! I'm just curious what pen and app are you using to draw in the video? Thanks

  • @BrianBDouglas
    @BrianBDouglas  11 ปีที่แล้ว

    (1 of 2) This is tricky. We've already thrown out realism with a linear system because no system is truly linear. And as you point out we could take the derivative of a signal and that transfer function would just be 's', which has more zeros than poles. But the problem comes when you input very high frequencies into that system. The amplitude of the output goes towards infinity as the frequency goes towards infinity and no real system behaves like that.

  • @biscotty4156
    @biscotty4156 8 ปีที่แล้ว +1

    Thank you so much, Brian! this is super helpful and clear! So when drawing the root locus, do I never look at the closed loop transfer function? It seems like in all of the text book examples I need to focus on the open loop TF

  • @brianwilson3656
    @brianwilson3656 3 ปีที่แล้ว

    Brian i really like your videos. Wondering what drawing software you are using for your black board. I like how you just scroll upwards to get more space.

  • @jrtkpnz
    @jrtkpnz 9 ปีที่แล้ว +7

    I've always enjoyed my control systems lectures
    But now they make sense lol

  • @RoboticsParlour
    @RoboticsParlour 9 ปีที่แล้ว +2

    Really excellent videos! Thank you for the clear explanations!

  • @ikerhua6500
    @ikerhua6500 9 ปีที่แล้ว +3

    The drawing at the beginning made my day!!! Exam tmr lol

  • @BrianBDouglas
    @BrianBDouglas  11 ปีที่แล้ว +31

    Other? My degree is in aerospace engineering so closer to mechanical.

    • @PavanKumar-qn8sl
      @PavanKumar-qn8sl 6 ปีที่แล้ว +2

      Brian Douglas hello sir. Can you explain how the zeros in transfer function showed in 5:13 will effect the root locus..

    • @abdulqayyum3156
      @abdulqayyum3156 4 ปีที่แล้ว +1

      @@PavanKumar-qn8sl zeros does not effect the root locus but they do effect the forced response of the system

    • @abdulqayyum3156
      @abdulqayyum3156 4 ปีที่แล้ว +1

      @@PavanKumar-qn8sl zeros means zeros of close loop transfer function not of open loop....

    • @dhruvin19
      @dhruvin19 3 ปีที่แล้ว +1

      I promise you , this is the best video has helped me more than 11 hours of intense lectures have

  • @marianopl1982
    @marianopl1982 2 ปีที่แล้ว

    These videos are awesome! Excellent job and keep it going!

  • @SoumenSahaJyoti
    @SoumenSahaJyoti 9 ปีที่แล้ว

    You are the saviour, man! Lots of love for you!

  • @shreyasbelose1230
    @shreyasbelose1230 6 ปีที่แล้ว

    Awesome explaination....!! Sir, if possible please make video lectures on signals and systems too.

  • @Mr.Nobody244
    @Mr.Nobody244 9 ปีที่แล้ว

    short yet very good.....great work...

  • @soniapatel4501
    @soniapatel4501 11 ปีที่แล้ว

    never understood this in class like I did after watching this video.! thank you!

  • @sunils748
    @sunils748 6 ปีที่แล้ว

    Really good time to stay in your lectures!
    May i know why do we use open loop poles and zeros instead of closed loop poles and zeros while constructing root locus?

  • @jimitkavathia
    @jimitkavathia 8 ปีที่แล้ว +1

    Hello, Brian ! I have been watching your videos since long time. Almost watched the entire classical control. It just amazing and you teach topics very intuitively; which is great. But I have a very basic doubt. Why do we equate the denominator of transfer function to '0' ? I know by doing this we find the poles. But this will make the transfer function reach infinity i.e. the output will be unbounded. Isn't it? I just don't get that. Could you please explain these?

  • @gnp0576
    @gnp0576 10 ปีที่แล้ว

    Thank you very much! This is a very clear and useful video. Keep up the good work.

  • @mohamedalaaelsayed4317
    @mohamedalaaelsayed4317 7 ปีที่แล้ว

    Such an amazing mentor. Thanks Buddy. You are my new hero xD

  • @ahmedreshi5697
    @ahmedreshi5697 5 หลายเดือนก่อน

    I have never seen a perfect teacher, until today. And he is Tom Cruise.

  • @happyhippr
    @happyhippr 7 ปีที่แล้ว +1

    I cant thank you enough for these videos..

  • @matthewarpas7638
    @matthewarpas7638 7 หลายเดือนก่อน

    Just failed a control systems exam and happend to stumble upon this video, thank you TH-cam algorithm

  • @luis2arm
    @luis2arm 10 ปีที่แล้ว +2

    very nice explanation! great job! thanks a lot

  • @pedro-eu-mesmo
    @pedro-eu-mesmo 8 ปีที่แล้ว

    These classes are great, thanks!

  • @kacyleung8421
    @kacyleung8421 11 ปีที่แล้ว

    How lucky I found your video before my quiz on control systems. :) :)

  • @harishli2020
    @harishli2020 11 ปีที่แล้ว

    Hi, can you please upload video on Nyquist stability plot and criterion?
    Thanks a lot for uploading all these videos.

  • @darshishah9593
    @darshishah9593 6 ปีที่แล้ว

    In the last example that you did, showing how to use all the 4 rules taught, why would the conjugate pair of poles not end up at the zero, and instead the pole in the right half plane ends up at the zero located at the origin?

  • @spyros07
    @spyros07 11 ปีที่แล้ว

    This is excellent sir. I guess you could teach many subjects in electrical and control engineering. Keep it up and thanks.

  • @deltaone1178
    @deltaone1178 5 ปีที่แล้ว +1

    uh oh, this guy is on to us, he knows we have a test coming up!!!

  • @andrewliuyh
    @andrewliuyh 9 ปีที่แล้ว

    way better than my lecturer