Sketching Root Locus Part 2
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- เผยแพร่เมื่อ 15 ก.พ. 2013
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This is the second part of how to sketch a root locus by hand. However instead of following the normal rules for sketching a locus that you'd see in a book, I decided to explain the rules how I use them, and how knowledge of the shape of a root locus can help you design a compensator.
If you have annotations turned off you might miss the link to the Matlab video, you can find it here though: • Gain a better understa...
You can check out the math behind these rules from this online book. If you Google for it you can read the book for free through Google Books. Control System Principles and Design by Ernest O. Doebelin -- Starting at Page 305
Of course if you're looking for more of a classroom style lecture than you really can't go wrong with Prof. Madan Gopal at nptelhrd. • Lec-30 Compensator Des...
Also, Ewald Erasmus made a great video on finding the gain k from a point on the root locus: • Control Systems (EBB 3...
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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!
entire semester i couldnt get shit about all this root locus thing, and just spending 30 mins watching 3 videos from your channel clarified everything , why don't they hire people liek you in unis
+Grisha Gevorkyan University professors couldn't give less of a shit lol
+Grisha Gevorkyan Because university is about doing research they just teach so they can afford to do the research.
+Ian lucky me my controls professor actually does research in engineering education along with power, however she still sucked at discussing root locus analysis.
+Ian Funny thing is that my prof that teaches this class, doesn't even do research...so explain that shit...not to mention the guy was in industry back in the 70s when process control consisted of physical nobs you turn. He literally still references that...smh
Hey Grisha..... Brian D. doesent need to join any university as he is already a system engineer at PLANETORY RESOURCES ..... I think his work must be that interesting and enjoyable to him, as he work in that great company like PR
MAN, it is not that my teacher is bad, but this explanation is incredible.
Thanks to everyone who requested the Matlab demo. If there is strong enough interest in a topic I will try to cover it, and it sounds like there is for this topic. I'm going to use Matlab to design the controller for the robotic car videos that I'm putting out every other week. I'll cover root locus again there. Stay tuned! :)
why our instructors cant explain the way you did... and yes i wan the MATLAB video
thanks to you man
Zalan Mahmood Working on it at this very moment! Thanks for the comment.
@@BrianBDouglas can i get the link of that video please!
@@rohitronie I think it was this video: th-cam.com/video/pG3_b7wuweQ/w-d-xo.html. But that was forever ago so I could be wrong :)
@@BrianBDouglas how about sharing pdf of yours lectures to we beginners.
@@rohitronie I've lost the PDFs for my early videos :( For some of the later ones, I've posted to Patreon. I don't charge people on Patreon anymore so if you become a patron you can download the ones I have and then unsubscribe and you won't be charged anything. You can also get a book in progress from my website engineeringmedia.com.
Thanks for such a nice comment. Maybe one day I'll compile my notes into a book, or even just something downloadable from a website. I like the TH-cam style lectures though because it reaches a broad audience and people can view it for free. I wouldn't want to exclude anyone from being able to learn from or watch my lectures because they couldn't afford it.
72 university lecturers clicked dislike button
These videos genuinely make me emotional thinking that someone out there cares this much to make this. Thank you so much Brian. You are single-handedly saving thousands and thousands of engineers.
You sir, are a legend. And YES PLEASE to a matlab tutorial!!
Hello Mr. Brian, count me in too for the Matlab Controls Tutorial. And thank so much for the Videos, It's a awesome,
count me in
The world needs more teacher like you. Taiwan needs more professors like you. So helpful, thank you so much!!
I know this video is from several years ago, but your series of videos about the root locus helped me understand it in ways my professor never has.
Thank you so much for making these, they have been a tremendous asset for me.
Hi Brian. Thank you for your great work! I am writing a test tomorrow on the root locus method and you helped me to completely understand it in 40 minutes. I just had to go look up the techniques on how to determine the exact intercepts of the curves, but after this it was easy! For a guy that's a bit lazy when it comes to class attendance, this is a life saver. The prof and the textbook uses so much jargon and excessive amounts of math that this looks really difficult, but it really isn't. The proofs and math can come after you've got the concept. So this is great!! I'm off to watch a few videos about bode plots as well... Greetings from South Africa!
Awe bra! waar studeer jy? Ek is by UCT
There's only one speed Douglas comes in, and that's CLUTCH!
These videos are life-savers. Thank you for your clear explanations!
My man still educating people for almost a decade now. Thank you very much.
Brian thank you so much! My professor is a smart guy, he graduated from MIT, but there's just not enough time to explain all of this with this level of detail. Because of you I'll be able to finish my homework I've been stuck on for days! Forget George Washington and Isaac Newton, they need to teach us about you in school! Brian Douglas, my hero!
Hi Michael, you've come across a tricky one! If you simplify hp it will be more obvious. hp = -6 * (s-1)*(s+1) / (s*(s+2)*(s+3)). When you solve for the root locus you are adding a gain, k, in line with this. However, since the gain of this transfer function is negative (-6), when you sweep k from 0 to +inf, the gain actually goes from 0 to -inf. This flips the root locus to the other side. In matlab you can do rlocus(-sys) to get the positive gain root locus.
Brian your videos are honestly lifesavers!!!! I can't stress enough on how great they are and how much they have helped me!!!!!!!
Your videos are amazing, You accomplish what my professors fail to in less time. What makes it even better is youtube allows me to watch you in 2x speed which is surprisingly still easy to comprehend. So instead of going to 50 minute lecture and failing to understand the material. I stay at home, open TH-cam, and become a master of root locus in 25 minutes. You Sr are the future of education. If its not too late please make the matlab video!
I highly encourage the 2 times speed for all online video lecture watchers, i find myself paying more attention and having overall more time to work
This series of videos is definitely worth the $500 it cost me to take this course at the university, the problem is, the course at the university is worth $50 for the teaching level we get... but in reality this is free and the university is $500... The paradox of marketing what a degree at a university is really worth. Thank you Brian Douglas, you da man.
You Sire, are a hero. No seriously, how are you NOT part of the Avengers team is beyond me. You're saving lives here - mine included. Thank you, wonderful lecture, so easy to grasp even for thick folks like me.
By far the best explanations I ever saw. Thanks a lot man for doing this!
BEFORE THIS COMPLETE BLANK ABOUT ROOT LOCUS AND WATCHING THIS FOR 30 MIN CLEARED EVERYTHING
The end of this video really drove home the power of root locus to me.
Our guy made this 10X more complicated than it needed to be. Thanks for saving me!!!
Thanks for the video Brian Douglas and I would definitely appreciate a MATLAB companion video.
Man this is everything i needed, its already been said but i dont know how you can make this all click in 30ish minutes but 6 weeks of lectures and tutorials had me still scratching my head, you sir are the GOAT, sending love from australia 3 years later
Brian, you're the best. Thanks for putting these out, it really helped solidify my understanding of root locus plots beyond what I'm getting in class. Keep up the great stuff!
Such a great teacher you are!
What I could not get after attending dozens of classes, I understood in half an hour!!
Great work
Thanks a lot
Brian, your videos are awesome and it really help me to grasp the basics and then go to the books.
A MATLAB tutorial on this, root locus, and on how to design a PI and a PID controller along with a plant would be very helpful.
Keep your good work.
Also, please don't ever stop drawing your cartoons during your videos!
They help take the seriousness away from the topic but equally they are a great way of conveying information in a casual and understandable way.
Cheers.
you are the best control theory teacher of the world.
You might not be the one with the longest CV or most number of researches, but I'm 100% sure you are the best control theory teacher ever.
Brian, Your lectures are just brilliant!
I was having a really hard time with this topic, but you have helped me so much. Please, keep doing this videos with so much dedication, you are just right.
Very precious, thanks a lot...The teachers at the univ do nothing but messing around. Millions of Likes man...
I wish I would have found these videos much, much earlier in the semester. I owe my grade, and quite possibly my life to you, sir. Keep it up!
OMG!! where have you been since I started control systems. I have been watching most of your videos like bode plots and root locus and I clearly understood them. I spent 12 weeks going to uni and not getting anything. Thank you Brian
A Matlab tutorial covering the control toolbox and SISO would be very appreciated. Thank you for all the work you've put into these videos.
Your videos are a huge help for getting a better understanding of control systems. Thank you for making them! I'd love to see one about the Kalman filter in the future.
My actual hero, would definitely fail my control systems module without you!
I love your videos, they make the material a lot more accessible than my textbook or professor and you really show the big picture and get me excited about learning this.
Thanks so much, this video was extremely helpful! I really appreciate how clear and concise you make the topic. Much easier to follow than my professor's notes!
Dude you're a lifesaver. I've got a controls exam tomorrow morning and I was nearly at my wit's end trying to understand how to sketch a root locus plot. I think these videos finally helped me "get" it.
Helpful, interesting, I'm lucky for finding this tutorial on TH-cam. Thanks a lot!
Absolutely phenomenal Brian! I've been binge watching these and they are just didactically perfect. Best regards from Brazil.
Brian and his lectures are brilliant!
Thank you very much!
I just want to commend and thank you on this video. Not only did it help clear up a bunch of questions I had, but the links and suggestions you provided in the description was also extremely helpful.
This video is incredible. We need more people like you teaching at university
Even after 10 years people are still watching this thanks a lot. Please make a Matlab tutorial.
After 6 years, this is still better than most professors that teach in top tiers universities. you taught me up to 70% of this course in just one day thanks to your videos about PID, Rootlocus, Bodeplots and compensators. The guy 4 years ago is right, thousends of students owe you some nice beers
I love your video! Those concepts on textbook just become sooo clear, thanks!
This was the most clutch video ever, week 6 into linear control theory!
Hi Brian, Thank you so much, viewing after 10 years of upload and still no other video has done better.
You are absolutely amazing! I have no words. Everything now makes sense!!! Thank you, and please please keep up the insanely good work!
Jesus Christ these videos are so good. Why don't professors teach like this guy. I understand you have to learn all the theory, proofs and derivations. I'm ok with that but they never "close the loop" by telling you why all this matters. What the big picture is. I stopped reading my controls book and decided to watch a few videos on youtube. It is amazing that I can watch 30 minutes (two videos) from this guy and save myself 3 hours of time if I were to read the book and work the examples. These videos are great. Keep up the good work man!
3:20 Brian was ahead of his time
mr douglas i dont feel so good
Thomas Sowell?
Hahahaha, it took me a second to understand what you meant!
I was thinking the exact same thing looool. Caught me off guard too hahahahaha.
I am into my graduate school! and this is the simplest and most lucid explanation of root locus I have found! Thanks
Thank you for taking the time to make these videos. They are very helpful!!
you cant imagine how your videos helped me and i will be so glad if you made the matlab video thanks alot man
You probably saved so many people in your life with these awesome videos, thanks man
Still years later this guy is contributing to many many students. Thank you for your videos!
13 weeks of control systems and i didnt understand this until i watched 30 mins worth of videos. Great teacher
Please do matlab controls tutorials, I would love to watch it!
Thank you for the videos.
You're the reason I'll pass this class! THANK YOU! :)
God you're a lifesaver!! Better than all those useless lectures at uni. Thanks a million!
Write a book man! this is GOLD.
Awesome, I just finished the chapter about root locus and watching this video was a awesome resume! Especially the end put everything in some context by showing actually application! Thank you so much ! Great videos!!!
Send me your address I ow you a case of beer...
Haha yeah!
Trudat
his patreon is linked in the video descirption
You are the king man, you told why we have to use PD control, just in 10 sec. !!! Yeaaahhh thanks! All hail to the Brain
I'm actually in love with you right now. I'll definitely be watching your Nyquist videos aswell! Great job guy!
Thanks for helping me out with the concept Brian. You are Awesome !
Wow amazing tutorial! It helps me a lot to understand more on drawing the root loci of a system. Very simple but powerful. I will recommend your tutorials to my friends. Thanks Brian!
You're the best man. This is REALLY helpful for reviewing Control Theory.
Perfect example of great teacher!!!!
you can't imagine how much I've learned by watching this. thank you very much man
Very nice videos. First time I have seen an engineering video this good that was not from Khan Academy. Keep up the fantastic work!
You sir are awesome. Half of my class was able to get through our recent control systems thanks to your videos.
Man, you are AWSOME.
I think I may discovered the channel a little too late but soo intrested in videos explaining how to model systems on matlab.
you are a lifesaver, thank you for all vids. Matlab tutorials would be great
Brian, Matlab videos on control systems are always welcome :)
WHAT a beautiful lecture it is!!!! I'm so lucky to see this video before the exam !!! so~~~thanks !!
you saved me, you saved many others, thank you my good sir, THANK YOU
Thank you! this video helped much more than my book and professor!
This is an AMAZING video series. My professor is extremely unclear and this was great prep for an upcoming exam. Thank you!
Thank you for the video. It clarified all the root locus problems I had.
Awesome set of lectures on Root Locus, I have my control system exam in two days and you have just helped me make complete sense of this topic!
Mat Lab demo would be really interesting if you have time to make it!
Matlab tutorial would be awesome Brian! We are truly in your debt. Thanks man.
A Matlab video will be great! Thanks for the awesome videos thus far! :)
your videos help me so much. you get right to the point and explain it very well
Very well done videos.Clarifies textbook jargon well.
Thanks a lot Brian ,your lectures are lucid and clear in understanding, please publish lectures on lead/lag compensators and bode plots.
Yes, thank you very much for both your reply and the speed of your reply! I had a bit of trouble getting my head around the angle of departure for a while.
I would be interested in a short matlab tutorial.
Matlab tutorial will be greatly appreciated. Thanks for your amazing vidoes @Brian.
This video helped me pass my control systems class. thank you.
all lectures are perfect!!thank you!!!
i never thought that root locus is so powerful, you made me realized that, thanks a lot Mr. Douglas!!
thank you very much brian for this video , it is going to be great it you make a small video about matlab .
Thank you so much for this lecture, this has been one of the most enlightening.
Brian Douglas aka wizard. Thanks man these videos are better than my seasoned phD vet profs lectures by a mile.
Thanks so much for your helpful youtube tutorials!!! The Matlab Controls Tutorials sound great!
You are amazing and you have just saved me!!!
This was a great video and i feel very confident in drawing Root Locus plots now