In case it is helpful, here are all my Control Theory videos in a single playlist ua-cam.com/play/PLxdnSsBqCrrF9KOQRB9ByfB0EUMwnLO9o.html. You can support this channel via Patreon at www.patreon.com/christopherwlum or by clicking the 'THANKS' button underneath the video. Please let me know what you think in the comments. Thanks for watching!
Sir, I dont find introduction of root locus video on this playlist. How do I find that sir?? Without that video, can i understand this one? Lots of respect from India🙏🙏
AE511: Boiling down the root locus manual sketch into 5-10 rules was very helpful! Walking through each step by step really helped me learn the fundamentals of the root locus, something I didn't get too much from undergrad
Thanks for the kind words. I can take cold drinks at www.patreon.com/christopherwlum 😀. In case you are interested, there are several other related videos that build off the root locus (for example designing a PID controller using root locus at ua-cam.com/video/Hk6YBO_A_PU/v-deo.html). Feel free to check it out and let me know what you think. Thanks for watching!
Christopher, On last example time 2:43:00 when You calculated Centrum =-11/3 = -3.67 I think you made a mistake it should be Centrum=-7/3= -2.33 and that is when you did -30.75 degree angle of departure it didn't come smoothly!
AE511: Wow, I cannot express how much easier this material came across through the use of some real examples of varying complexity. I was feeling pretty shaky on root locus but the last example helped tie it all together.
Hi Andrew, Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. I can also answer any questions, provide code, notes, downloads, etc. on Patreon. Thanks for watching! -Chris
You are welcome. There are other similar videos on the channel, please feel free to check them out and let me know what you think in the comments. Thanks for watching!
I'm glad it was helpful. There are more similar videos on the channel. Please feel free to check them out and let me know what you think in the comments. Thanks for watching!
Concept has been explained very clearly.Thank you for this awesome lecture.Felt like there is a calculation mistake in centroid calculation at 2:42:25.
I was a little confused at 1:02:00 because vector addition is head to tails and in the drawing they are not. But its still the best video out there and amazing. Thank you so much!
Hi Fabian, Thanks for reaching out, I'm glad you enjoyed the video. Unfortunately I'm unable to respond to questions on UA-cam due to the sheer volume of inquiries that I receive. That being said, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum as I'll be able to answer questions there. Given your interest in the topic, I'd love to have you as a Patron as I'm able to talk/interact personally with Patrons. Thanks for watching! -Chris
[AE 511] Thanks for the great video Chris! At 1:49:07 , for k=2 , why do you not have phiA = 5pi/3 AND -pi? Doesn't the + or - sign create two possible solutions?
Great video! Thanks a lot. Could you maybe explain why the Root Locus is so important? Why we spend so much time to investigate it? What is the motivation?
Great content, can't thank you enough. The only thing i missed is, in last example, if there was a criterion for determining which poles go to infinity and which poles are attracted to zeros. I sketched p1-> z1 and p2 -> z2 with p4 and p5 going to infinity but MatLab proved me wrong.
Isaac, thanks for the kind words. The best way to support the channel is via Patreon at www.patreon.com/christopherwlum. I'd love to have you as a patron as I'm able to interact directly with people who support the channel at Patreon. Thanks for watching!
I'm glad it was helpful. There are several related videos on the channel. Please feel free to check them out and I would love to hear what you think in the comments. Thanks for watching!
Awesome Teaching of these theoretical engineering mathematical physics of Controls Systems Engineering theory, what is lacking is the use of AI (Artificial Intelligence Computerized Graphics) as an AID to ILLUSTRATE and VISUALIZE all these presentations for us GRAPHICAL LEARNERS. You are so passionate in sharing your KNOWLEDGE as Sir.
AE511: For rule 3, let’s take the case where s is not on the real axis and has an imaginary component (I’m at 1:11:51 right now). Would we still obtain the same result? The angle cancellation of the complementary zeros would not happen in this case.
Hi Brad, this current discussion is only valid for s values on the real axis (no imaginary component). We'll get to candidate locations with imaginary components in a future rule (when we look at angle of departure).
AE511: Question at 23:08 - How come you can just drop the K away if it is approaching infinity. It would seem that K is so large that it would have an effect. Is it because a(s) represents the zeros so then no matter what you multiply it by will just go away? Thanks.
Hi Mike, I actually divide both sides by the large K. Since the right hand side is 0, we get 0/K which is 0. Is this what you were asking or did I misinterpret the question?
In the last section of video, the complex poles were terminated at infinity and the real poles were at complex zeros. How have we come to know about this? Why vice versa is not right?
Hi, Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. Thanks for watching! -Chris
Good question. Rule 1 applies only to proper transfer functions. If not, you could have poles coming in from zeros at infinity rather than poles going to zeros at infinity. Does the discussion at 2:31:12 (AKA rule 10) address the concern?
Thank you for putting this together. Im an old Engineer with a Masters going back and looking at Root Locus. So ya thanks. I see that you are a PhD ... are these videos from classes that you teach? Thanks, Dan...
Thank you! Great explanation! But i want to ask you about rules 4, if we only have 1 angle of asymtotes lets say its 180°, it means that we dont need where the centroid is right? Because the centroid is only show where the asymtotes would unite?
AE511: That was pretty heavy. Making these plots by hand seems like it would be pretty tedious for large transfer functions and I imagine that's pretty rare in practice.
what is the physical meaning of poles/zeros say we have a TF function of a simple RC circuit ,what's the physical meaning of poles/zeros in this circuit
For an RC circuit, I believe you'd only have a single pole and no zeros (don't quote me on this). The pole would relate to the time constant of the circuit, basically how fast the system responds to changes in inputs. The location of the pole would be related to the resistance and capacitance of the components. By change the components you change the behavior of the system and thus you change the pole of the system.
@@ChristopherLum in this simple circuit poles effects the time responce of this system what about complex systems .now am working on the quanser aero 2dof helicopter when i do the pole placement methode i noticed only one thing the system goes crazy
Hi Eymen, Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. Thanks for watching! -Chris
Hi, Thanks for reaching out. If you have questions or would like to request a video, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. I'd love to have you as a Patron as I'm able to talk/interact personally with Patrons. Thanks for watching! -Chris
@@ChristopherLum NO can not support have tons of expenses already, thank You, I'm power electronics Engineer and applied lots of controls of my design, time to time I could check on someone's video, but when I need something I have my books, Root locus was nice but I use extensively bode diagrams. Thank You.
In case it is helpful, here are all my Control Theory videos in a single playlist ua-cam.com/play/PLxdnSsBqCrrF9KOQRB9ByfB0EUMwnLO9o.html. You can support this channel via Patreon at www.patreon.com/christopherwlum or by clicking the 'THANKS' button underneath the video. Please let me know what you think in the comments. Thanks for watching!
Sir, I dont find introduction of root locus video on this playlist. How do I find that sir?? Without that video, can i understand this one? Lots of respect from India🙏🙏
Sir can u give us a easy link to use the mathematica
@@arghyasahoo1031 Same sir where can I find the video in Introduction
That video is not uploaded Chris
I have never seen such an good explonation before
This is the best explanation on this topic that I have ever come across. Thanks for the efforts and for sharing.
AE511: Boiling down the root locus manual sketch into 5-10 rules was very helpful! Walking through each step by step really helped me learn the fundamentals of the root locus, something I didn't get too much from undergrad
Thank you so much for this. Someone please give this man a cold drink, he deserves it after the amount of time he spent on this video 🥂
Thanks for the kind words. I can take cold drinks at www.patreon.com/christopherwlum 😀. In case you are interested, there are several other related videos that build off the root locus (for example designing a PID controller using root locus at ua-cam.com/video/Hk6YBO_A_PU/v-deo.html). Feel free to check it out and let me know what you think. Thanks for watching!
Christopher, On last example time 2:43:00 when You calculated Centrum =-11/3 = -3.67 I think you made a mistake it should be Centrum=-7/3= -2.33 and that is when you did -30.75 degree angle of departure it didn't come smoothly!
That is very sincere of you, Professor Lum!
AE511: Wow, I cannot express how much easier this material came across through the use of some real examples of varying complexity. I was feeling pretty shaky on root locus but the last example helped tie it all together.
A sincere thank you, I have an exam on this tomorrow and just couldn't get an intuition until now. Best explanation I have found :)
I've just spent 3 hours without any boredom learning and solving with you. thank you so much for this great content
Hi Andrew,
Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. I can also answer any questions, provide code, notes, downloads, etc. on Patreon. Thanks for watching!
-Chris
Appreciate that you took the time to correct yourself on the vector drawing, this stuff is a lot of effort
Просто шикарный урок! Фундаментальный!
hello Christopher, at 0:12 seconds, you reference a video "Introduction to Root Locus". Is the video still available ?
Hello，have you found that video？
ua-cam.com/video/V3iveC_fa04/v-deo.htmlfeature=shared
Thank you for such a well organized easy to follow lecture!
I need teachers like you when I was in college.
There are a few other videos covering control theory, please check them out. Thanks for watching!
A time machine would be nice too
Thank you good videos. I think , centroid should -7/3, at 2:43:50
[AE 511] 58:30
The visualization of rule 3 with the vectors is very helpful to understanding the math behind rule 3
thank very much you are such a very good teacher
This lecture is awesome. It solves all my questions that I am currently facing. thanks
Thanks Chris! Great video on sketching root locus.
Thank you from Japan
You are welcome. There are other similar videos on the channel, please feel free to check them out and let me know what you think in the comments. Thanks for watching!
You are exceptional. Thank you.
AE 511: I need to step up my game in geeky bedside accessories. Well done 😆
I can get you a framed version of the equation if you want :)
Sir, really appreciate your extraordinary way of explaining this topic, really helped me alot.
I'm glad it was helpful. There are more similar videos on the channel. Please feel free to check them out and let me know what you think in the comments. Thanks for watching!
cant find the video mentioned 'intro to root locus'
I can’t love these videos less
Fall in love at this moment 53:50.
Very instructable lessons.
Concept has been explained very clearly.Thank you for this awesome lecture.Felt like there is a calculation mistake in centroid calculation at 2:42:25.
yep I also noticed that
ty for commenting. glad it wasnt me.
true. it should be about 2.3
Yeah. Answer should be 2.3
Really clear explanation, thank you!
At 2:42:29 Sigma is calculated as -11/3 but it should be -7/3 ?
I was a little confused at 1:02:00 because vector addition is head to tails and in the drawing they are not. But its still the best video out there and amazing. Thank you so much!
Hi Fabian,
Thanks for reaching out, I'm glad you enjoyed the video. Unfortunately I'm unable to respond to questions on UA-cam due to the sheer volume of inquiries that I receive. That being said, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum as I'll be able to answer questions there. Given your interest in the topic, I'd love to have you as a Patron as I'm able to talk/interact personally with Patrons. Thanks for watching!
-Chris
[AE 511] Thanks for the great video Chris! At 1:49:07 , for k=2 , why do you not have phiA = 5pi/3 AND -pi? Doesn't the + or - sign create two possible solutions?
Hi Ryan, I don't think I understand the question, can we chat about this in office hours?
Best explanation
Great video! Thanks a lot. Could you maybe explain why the Root Locus is so important? Why we spend so much time to investigate it? What is the motivation?
In example 8 around the 2:45 mark you found the sigma a to be -11/3, I thought it was supposed to be -7/3, who is making the math error?
Great content, can't thank you enough. The only thing i missed is, in last example, if there was a criterion for determining which poles go to infinity and which poles are attracted to zeros. I sketched p1-> z1 and p2 -> z2 with p4 and p5 going to infinity but MatLab proved me wrong.
This was very helpful, thank you alot.
You, sir, are a rare gem........THANK YOU!!! Please how may I buy you a coffee??
Isaac, thanks for the kind words. The best way to support the channel is via Patreon at www.patreon.com/christopherwlum. I'd love to have you as a patron as I'm able to interact directly with people who support the channel at Patreon. Thanks for watching!
where is the introduction to the root locus video !!?
Hocam yine formunuzdasınız maşallah.
Great video...
We need the intro to root locus video!
Well explained !
Around 58:00 why do we draw the vector zk starting at the pole? Why not the orgin (0,0)? It won’t effect the angle or magnitude ,but it confuses me?
thats what im wondering also because when you add vectors, there are suppose to be heat to tail. but in the drawing, they are not
I wish this video was out when i was still in undergrad
I'm glad it was helpful. There are several related videos on the channel. Please feel free to check them out and I would love to hear what you think in the comments. Thanks for watching!
🤣Lol, "Like a bus going down the mountain with no brakes, let's keep rolling."
Awesome Teaching of these theoretical engineering mathematical physics of Controls Systems Engineering theory, what is lacking is the use of AI (Artificial Intelligence Computerized Graphics) as an AID to ILLUSTRATE and VISUALIZE all these presentations for us GRAPHICAL LEARNERS. You are so passionate in sharing your KNOWLEDGE as Sir.
AE511: For rule 3, let’s take the case where s is not on the real axis and has an imaginary component (I’m at 1:11:51 right now). Would we still obtain the same result? The angle cancellation of the complementary zeros would not happen in this case.
Hi Brad, this current discussion is only valid for s values on the real axis (no imaginary component). We'll get to candidate locations with imaginary components in a future rule (when we look at angle of departure).
AE511 - Very comprehensive root locus lecture
In-depth lecture on sketching root locus
Finding it very useful for my course. Curious to know the text books that you follow for control system design.
where is the introduction video ?
AE511: Question at 23:08 - How come you can just drop the K away if it is approaching infinity. It would seem that K is so large that it would have an effect. Is it because a(s) represents the zeros so then no matter what you multiply it by will just go away? Thanks.
Hi Mike, I actually divide both sides by the large K. Since the right hand side is 0, we get 0/K which is 0. Is this what you were asking or did I misinterpret the question?
@@ChristopherLum oh I see... I must’ve missed that but that makes sense
53:39 😁👍
In the last section of video, the complex poles were terminated at infinity and the real poles were at complex zeros. How have we come to know about this? Why vice versa is not right?
Sir，where can i find the“introduction to root locus”，it is not here.
What book is this based off of? Is this the Katsuhiko ogata book?
It should be -pj (not +pj) at 2:13:42 since we are substituting for the point s = -pj.
Rule 3 hurt my brain. Such a simple concept but so complicated
Edit: I get it now
Hi,
Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. Thanks for watching!
-Chris
For Rule 1, what if the system isn't proper? The order of the closed loop system could have more poles in that case, right?
Good question. Rule 1 applies only to proper transfer functions. If not, you could have poles coming in from zeros at infinity rather than poles going to zeros at infinity. Does the discussion at 2:31:12 (AKA rule 10) address the concern?
Thank you for putting this together. Im an old Engineer with a Masters going back and looking at Root Locus. So ya thanks. I see that you are a PhD ... are these videos from classes that you teach? Thanks, Dan...
please upload freq domain analysis video
Where is your introduction video & what does FBD means?
Hi Chris, can you tell me from which video or sequence I should start for control systems because I am seeing a lot of videos on your channel.
Thanks.
How can find break in point and break away point
Thank you! Great explanation! But i want to ask you about rules 4, if we only have 1 angle of asymtotes lets say its 180°, it means that we dont need where the centroid is right? Because the centroid is only show where the asymtotes would unite?
AE511: That was pretty heavy. Making these plots by hand seems like it would be pretty tedious for large transfer functions and I imagine that's pretty rare in practice.
True, a full root locus plot by hand might not be reasonable but the intuition on how it behaves is what is valuable.
GOAT
Video about Root Locus
what is the physical meaning of poles/zeros
say we have a TF function of a simple RC circuit ,what's the physical meaning of poles/zeros in this circuit
For an RC circuit, I believe you'd only have a single pole and no zeros (don't quote me on this). The pole would relate to the time constant of the circuit, basically how fast the system responds to changes in inputs. The location of the pole would be related to the resistance and capacitance of the components. By change the components you change the behavior of the system and thus you change the pole of the system.
@@ChristopherLum in this simple circuit poles effects the time responce of this system what about complex systems .now am working on the quanser aero 2dof helicopter when i do the pole placement methode i noticed only one thing
the system goes crazy
why cant K have -ve values
Gold
Hi Eymen,
Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. Thanks for watching!
-Chris
ae511 good video
Jajajajajaja It was so funny when he woke up with rule number 3 on the wall.
I'm glad it was entertaining 😀. There are other similar videos on the channel, feel free to check them out. Thanks for watching!
rule number 3 can be explained in 2 minutes or less
AE511.
AE511
AE 511
Excellent! Do you have any lecture on Digital Control?? on Z domain?
Hi,
Thanks for reaching out. If you have questions or would like to request a video, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. I'd love to have you as a Patron as I'm able to talk/interact personally with Patrons. Thanks for watching!
-Chris
@@ChristopherLum NO can not support have tons of expenses already, thank You, I'm power electronics Engineer and applied lots of controls of my design, time to time I could check on someone's video, but when I need something I have my books, Root locus was nice but I use extensively bode diagrams. Thank You.
Maybe at 47:37, you should have written K∈[0, ∞), in lieu of putting a third bracket.
AE511
AE 511