Root Locus Plot: Common Questions and Answers

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  • เผยแพร่เมื่อ 28 พ.ย. 2024

ความคิดเห็น • 101

  • @emiliotanowe4323
    @emiliotanowe4323 9 ปีที่แล้ว +133

    Man, your explanations are so clear, simple to understand and, at the same time, precise (mathematically speaking). Congratulations for your work. I'm your fan.

    • @BrianBDouglas
      @BrianBDouglas  9 ปีที่แล้ว +16

      Emilio Tanowe Thank you for the feedback!

    • @jariabbas1889
      @jariabbas1889 8 ปีที่แล้ว +2

      +Brian Douglas you the man!

    • @AdiWasturaka
      @AdiWasturaka 7 ปีที่แล้ว +6

      you missed the opportunity to comment "Thank you for the G(s)!"

    • @alandeutsch7769
      @alandeutsch7769 6 หลายเดือนก่อน +1

      @@AdiWasturaka should be H(S) for feedback right?

    • @AdiWasturaka
      @AdiWasturaka 6 หลายเดือนก่อน

      @@alandeutsch7769 lmao yes I was wrong, it should be H(s)

  • @maximyushchenko936
    @maximyushchenko936 8 ปีที่แล้ว +35

    You sir, deserve a firm handshake.

  • @vishnukolal5208
    @vishnukolal5208 6 ปีที่แล้ว +17

    14:12 The actual reason some of us need to use hand plots is not for the thrill, but for our exams, since a lot of universities do not allow us to use electronic gadgets while an exam. Nevertheless, you are a great teacher! My friends and I all deeply appreciate your help.

  • @HollwegX
    @HollwegX 8 ปีที่แล้ว +2

    Brian, I'm in the last year of Electrical Engineering and I'm working so much with design control systems.
    Your lectures helped me a lot to understand some "dark contents" of control systems that the textbooks did not explain very well.
    You're a nice teacher and a amazing engineer!
    Thank you very much! : )

  • @tsunghan_yu
    @tsunghan_yu 5 ปีที่แล้ว +7

    1) 0:22 because they're the roots of the characteristic equation
    2) 2:03 beta = cos^{-1}(zeta)
    3) 11:00 cos(b) = zeta only works when zeta is less than 1 (it's what we assumed to derive it)
    4) 13:49 find the intersection of root locus and your constraint. Reorder the characteristic equation 1 + G(s) = 0 to K = -1/G(s), and apply the point into the equation to get K.
    5) 16:50 watch next video ;)

  • @himanshujaiswal98978
    @himanshujaiswal98978 7 ปีที่แล้ว +6

    If there was any oscar for youtube, It would be awarded to U!!!! I cant believe so many concepts in a single video. Hats off to U sir!
    Thanks for making my life easier

  • @francesconigri745
    @francesconigri745 3 หลายเดือนก่อน

    Many thanks, Brian. You definitely are my favourite teacher ...

  • @dk0100
    @dk0100 8 ปีที่แล้ว +1

    you are good at explaining and not boring at same time, great work, highly appreciate.

  • @EscWash0r
    @EscWash0r 8 ปีที่แล้ว +4

    I am studying electromechanical engineering in my third year, and this has helped me a lot! Thanks man for all the vids.

  • @panagiotisgiannikopoulos2147
    @panagiotisgiannikopoulos2147 5 ปีที่แล้ว

    I do not know if you are an expert but you have very strong academic skills to explain things in a very short time.

  • @isjoker22
    @isjoker22 9 ปีที่แล้ว +13

    Great video as always, I wish you posted more often.. And while I was still working toward my degree. I'm sure you're quite busy, either way these videos are much appreciated.

  • @samuelogunfuye625
    @samuelogunfuye625 5 ปีที่แล้ว

    Bravo...... Excellent...... You deserve an Accolade.... Learnt a lot from the video(merging practical application with theory)...Kudos

  • @yasermahmoud6297
    @yasermahmoud6297 9 ปีที่แล้ว +1

    I have two questions related to a different topic and I would really appreciate it if you answered them :)
    First question: Is there any application/s where I need the PID values of a controller in a system to be frequently tuned?
    I can think of some applications but I don't know whether I should change my PID values or not!
    These applications are
    1. In humanoid robots where the environment is dynamic.
    2. Another application might be when in quadcopters where the weather/altitude suddenly changes or when a single motor malfunctions so the other motors should be re-tuned.
    The second question is:
    If i gave a system a parabolic input to follow, should i feed my controller with only one PID value or several PID values?
    where each PID Value will be associated with each different slope!
    Thanks a lot :)

  • @kfoxm
    @kfoxm 9 ปีที่แล้ว +3

    thank you man that's helped me a lot
    2 days left for my exam

  • @smjure
    @smjure 7 ปีที่แล้ว

    Such videos on Q & A's are very useful as they show practical applications of the tools we need in designing... Thanks!

  • @mandeep4789
    @mandeep4789 9 ปีที่แล้ว

    I never actually found control system that interesting....
    ..... i think these demonstrations will help me alot in future ,,, thanks alot
    great work.!!

  • @jrallen870
    @jrallen870 9 ปีที่แล้ว +4

    Love your work Brian.

  • @davidsalmon72
    @davidsalmon72 9 ปีที่แล้ว +2

    Really good videos! You uploaded this video about 5 hours after our 2nd year Control exam at university though!

    • @BrianBDouglas
      @BrianBDouglas  9 ปีที่แล้ว +3

      David Salmon A little too late then? :) I hope you did well on it and congratulations on finishing the course!

    • @davidsalmon72
      @davidsalmon72 9 ปีที่แล้ว +2

      Brian Douglas Thank you very much for all your videos. They've been so helpful. A big thank you from all my classmates here too, we're very grateful!

  • @priteshparikh9324
    @priteshparikh9324 9 ปีที่แล้ว +1

    god bless you. helped me in learning topics worth two semester in a week.

  • @cavidankesim2071
    @cavidankesim2071 2 ปีที่แล้ว +1

    11 hours left to my final exam of this course and here i am

  • @SohilShah_Melodyman
    @SohilShah_Melodyman 6 ปีที่แล้ว

    Very elegantly & clearly explained.......thanks a lot !

  • @nicholassheldon5755
    @nicholassheldon5755 6 ปีที่แล้ว

    Excellent job with these videos! This has helped me wrap my head around some of the basics of control engineering very quickly. Keep up the great work!

  • @장연석-o4j
    @장연석-o4j 7 ปีที่แล้ว

    it's the best video ever. it makes me understand all concepts properly! thank you for uploading this video.

  • @nataliea.4651
    @nataliea.4651 9 ปีที่แล้ว

    Fantastic! Very clear explanation which is helping me in my control system class. Thank you and keep up the great work Brian:)

  • @christophersohlberg9902
    @christophersohlberg9902 8 ปีที่แล้ว

    love the fade out!

  • @praveensenadhilankara2322
    @praveensenadhilankara2322 6 ปีที่แล้ว

    A great series of lectures...!

  • @brendawilliams8062
    @brendawilliams8062 3 ปีที่แล้ว

    You sure get triangles going. Thankyou

  • @awaisibrahim9283
    @awaisibrahim9283 8 ปีที่แล้ว

    Sir! U r great Teacher.

  • @flapjackattack4
    @flapjackattack4 9 ปีที่แล้ว +3

    Love these videos

  • @wipeawayyourtearss
    @wipeawayyourtearss 7 ปีที่แล้ว

    Man such a great work, thumbs up and subscribed.

  • @Ashenfernando911
    @Ashenfernando911 9 ปีที่แล้ว +3

    How to determine for which k values the system is stable by looking at the root locus plot

  • @ajinkyabhutekar5813
    @ajinkyabhutekar5813 7 ปีที่แล้ว

    nicely explained... Much appreciated SIR.

  • @mkschreder
    @mkschreder 5 ปีที่แล้ว

    This is great!

  • @derekwflett
    @derekwflett 7 ปีที่แล้ว

    Wow. What an awesome explanation! Thank you so much!

  • @ieatplaydo
    @ieatplaydo 9 ปีที่แล้ว

    You're a wizard.

  • @basyoni95
    @basyoni95 7 ปีที่แล้ว +1

    you are a life saver. thanks

  • @mohamedmahdi8460
    @mohamedmahdi8460 7 ปีที่แล้ว

    Thank you for all the video.

  • @ryunsingh
    @ryunsingh 4 ปีที่แล้ว

    Really good stuff.

  • @TheShubham67
    @TheShubham67 9 ปีที่แล้ว

    Great work sir........ Wishing that you may add more videos in your signals sections probably

  • @Moanes.elsherif
    @Moanes.elsherif 3 หลายเดือนก่อน

    I HOPE YOU ANSWER THIS QUESTION
    when we plot poles and zeros we go for the transfer function and then plot them , but in root locus we polt the poles and zeros from G(s) H(s) and those two equations are different causing difference poles to the s-plan so how we solve it ?

  • @PawPawPumelo
    @PawPawPumelo 9 ปีที่แล้ว +4

    at 15:58, I think there should be a K in the numerator as well.

    • @navinsabban6521
      @navinsabban6521 6 ปีที่แล้ว

      Ya

    • @jacqueswaldmann3478
      @jacqueswaldmann3478 3 ปีที่แล้ว

      The location of the closed-loop poles do not depend on whether the gain K is in the direct path or in the feedback path. The closed-loop poles are the roots of 1+K.G(s)=0 and this characteristic polynomial is the same in both cases.

  • @dishahegde454
    @dishahegde454 7 ปีที่แล้ว +1

    for a higher order system, isnt there a possibility of getting a k value that is complex? i dont understand how to interpret such a value. Do you consider only the real part?

  • @AsfarAsYouThink
    @AsfarAsYouThink 4 ปีที่แล้ว

    Hi Brian, I am, amazed by your teaching method and would appreciate continuing them for my best knowledge as it's efficient but I am on some restricted timeline and want you to please help me with two questions only.
    I am going to email you these two questions please help even if you can write me back or make a video for that .. My whole class would be very thankful to you.

  • @xiaonan238
    @xiaonan238 4 ปีที่แล้ว

    Thank you!! I need this so much

  • @daminivyas7110
    @daminivyas7110 8 ปีที่แล้ว

    You just explained it superb Sir!! Thanks ,It helped me a lot :)

  • @Praveen1991917
    @Praveen1991917 9 ปีที่แล้ว

    I actually felt a bit faster in explanation.BTW I have a question for you,what would happen when I increase the gain up to positive infinity to a particular transfer function.For example take this one G(s)=K(s+2/3)/s^2(s+2)How do I know that how many roots are lying on right hand side when I increase the gain up to positive infinity?

    • @UpendraYadav-mh9mm
      @UpendraYadav-mh9mm 7 ปีที่แล้ว +1

      Prince praveen on increasing the value of k the stability depends on how does the curve move. to find the values of k where the system is stable use routh Hurwitz criterion. for the example you have shown, the system is stable for all k.You can try drawing RL using the basic rules. Your example can also be viewed as k÷s^2 with a lead compensator which shifts the RL to left side increasing the stability.If u have any further questions, feel free to ask.

  • @Amine-gz7gq
    @Amine-gz7gq ปีที่แล้ว

    Can you make a video about nichols diagram and the Matlab SISO tool ?

  • @manuelcardona4853
    @manuelcardona4853 7 ปีที่แล้ว

    Great video, thanks!

  • @shameemamumthaz2328
    @shameemamumthaz2328 9 ปีที่แล้ว

    very nice video

  • @ltechdsc4882
    @ltechdsc4882 9 ปีที่แล้ว +3

    PERFECT!

  • @imtiazulhaque6328
    @imtiazulhaque6328 8 ปีที่แล้ว

    Hi Mr. Douglas, your tutorials have been very helpful. Do you have tutorials on discrete-time control system which explain the root locus technique in the discrete-time domain?

  • @hyderali4351
    @hyderali4351 7 ปีที่แล้ว

    For real, you are brilliant!!!!! I love all of your videos on control theory, it really helped me a lot!!! Thank you soooo much for the effort in making these videos, will be forever grateful!!!!!!!! -----> "You da real MVP"

  • @entropyz5242
    @entropyz5242 5 ปีที่แล้ว +1

    Brian, here is another frequently asked question you should answer: why are you so awesome?

    • @ntd252
      @ntd252 4 ปีที่แล้ว

      because, I'm batman...

  • @losamfr
    @losamfr 5 ปีที่แล้ว

    for Eta >1, at 13:39 , directly you put the roots on the left Left side of the real axis: why the roots cannot be on the right side of the real axis?

  • @hibaassamaouat2818
    @hibaassamaouat2818 หลายเดือนก่อน

    How do you increase the linewidth of your plots by default

  • @SaludContable
    @SaludContable 5 ปีที่แล้ว

    Great explanations, thanks man..... what do you use for the writing capture?

  • @behnamsay7168
    @behnamsay7168 7 ปีที่แล้ว

    Wow man that fade-out

  • @hussainmayouf5835
    @hussainmayouf5835 6 ปีที่แล้ว

    Thank you for everything, I have simple question , if we have zero in the second order transfer function , can we find the value of zeta like there is no zero in the second order transfer function? thank you

  • @rodrigoaceves9020
    @rodrigoaceves9020 4 ปีที่แล้ว

    Why did you add omega squared instead of just omega for the s coefficient in the denominator at 6:00 ?

  • @aliyahbilleau5251
    @aliyahbilleau5251 7 ปีที่แล้ว

    Hi, we are having to do the root locus calculations by hand, is there any way you would be able to help me with one example? Thank you.

  • @KRISHNASAI1985
    @KRISHNASAI1985 8 ปีที่แล้ว +1

    Hi Brian, any lectures on Root Locus in Z domain?

  • @raghavsingh3764
    @raghavsingh3764 4 ปีที่แล้ว

    Can someone explain how to draw root locus of a OLTF having repeated poles at some point.

  • @gordonaughenbaugh9004
    @gordonaughenbaugh9004 6 ปีที่แล้ว

    How did you graph it in matlab? you just pulled it up on the video

  • @abdulsamirkhan3813
    @abdulsamirkhan3813 7 ปีที่แล้ว

    Sir can you please illustrate a third order( G(s)= k/s(s+1)(s+3) ) system's root locus in which we needs to find 'k' for zeta= 0.5..?

  • @qwerty-mz8is
    @qwerty-mz8is 9 ปีที่แล้ว +1

    how do you get your matlab-lines to be that think and nice ?
    Edit: Saw it in your next video

  • @ZoeTheCat
    @ZoeTheCat 8 ปีที่แล้ว

    7:10 - Why do you differentiate S-Domain from Frequency Domain? I think they are synonymous..

  • @kishoresaldanha815
    @kishoresaldanha815 9 ปีที่แล้ว +1

    great video! .At 6:02 it should be s^2+2*zeta*w*s + w0^2 instead of s^2+2*zeta*w0*s + w0^2

    • @BrianBDouglas
      @BrianBDouglas  9 ปีที่แล้ว

      Kishore Saldanha Why do you say that? What's the difference between w0 and w in your case?

    • @kishoresaldanha815
      @kishoresaldanha815 9 ปีที่แล้ว

      Brian Douglas My bad .have been doing too many Fourier transforms this week :p

    • @BrianBDouglas
      @BrianBDouglas  9 ปีที่แล้ว +3

      Kishore Saldanha No worries! Thanks for the comment.

    • @kishoresaldanha815
      @kishoresaldanha815 9 ปีที่แล้ว

      could you suggest a book to supplement your lectures?

    • @qwerty-mz8is
      @qwerty-mz8is 9 ปีที่แล้ว

      Kishore Saldanha docs.google.com/document/d/1mMI34k4K56ZfUIjsPuXHfB_ujH3uUhfBAmYhSSsuKqI/edit

  • @broslymech
    @broslymech 9 ปีที่แล้ว

    thanks

  • @shmackydoo
    @shmackydoo 7 ปีที่แล้ว

    would you ever consider giving us the notes from your videos, like the ones you draw out

    • @jamie123b
      @jamie123b 7 ปีที่แล้ว

      Jesse Wilburn he's put it in a book

  • @graceliu7600
    @graceliu7600 4 ปีที่แล้ว

    You are so good

  • @maneesh29s
    @maneesh29s 4 ปีที่แล้ว

    Brian OP

  • @naveenchoudhary2675
    @naveenchoudhary2675 9 ปีที่แล้ว

    question : how to find the range of k or the part of root locus for which the system is underdamped overdamped critically damped....

    • @UpendraYadav-mh9mm
      @UpendraYadav-mh9mm 7 ปีที่แล้ว +1

      Naveen Choudhary as we move from k=0 to k=infinite, the root locus moves along a certain path. For the values of k where RL lies on real axis, system is overdamped. Similarly underdamped for the values of k where RL has both real and imaginary parts, critically damped for takeoff and take in pts and undamped for k intersecting imaginary axis

  • @robosergTV
    @robosergTV 5 ปีที่แล้ว

    it still doesnt answer why its called a "root". Where does the root comes from? A pole is pole, what does it have to do with a root?

  • @carlosmspk
    @carlosmspk 6 ปีที่แล้ว

    Don't you also plot zeros on the root locus? Why do you consider pole locus to be a more appropriate name?

  • @a1n2b3a4
    @a1n2b3a4 9 ปีที่แล้ว

    why the CE =zero?

  • @ShubhamKSingh-xm9cp
    @ShubhamKSingh-xm9cp 9 ปีที่แล้ว

    great work ! can u please supplement me with lectures of TIME RESPONSE ?

  • @parvezyendigeri3593
    @parvezyendigeri3593 7 ปีที่แล้ว

    Man you are damn awesome

  • @Postermaestro
    @Postermaestro 8 ปีที่แล้ว +3

    8:41 haha

  • @6Diego1Diego9
    @6Diego1Diego9 8 ปีที่แล้ว

    brian cant draw fire

  • @AJ-et3vf
    @AJ-et3vf 3 ปีที่แล้ว

    Awesome video! Thank you!