Transfer Functions: Introduction and Implementation

In this video we introduce transfer functions and show how they can be derived from a set of linear, ordinary differential equations. We also examine how to use a transfer function to predict the output of system to a given input.
Topics and time stamps:
0:38 - Example using an aircraft
9:45 - Defining transfer functions
15:00 - Laplace transform of a derivative
27:32 - Example of transfer function with mass, spring, damper
35:29 - Working with transfer functions in Mathematica
43:13 - Working with transfer functions in Matlab
51:03 - Summary and conclusions
Lecture notes and code can be downloaded from github.com/clum/KZbin/tree/...
All Control Theory videos in a single playlist ( • Control Theory )
#Control #ControlTheory
You can support this channel via Patreon at / christopherwlum . Thank you for your help!

[@sarangsharma5346]

My goodness this is an absolutely incredible video, its only an hour long but it takes you through every potential experience you can have with transfer functions even extending it to simulink and matlab which was fantastic. I also am an aerospace engineer and so I was very happy and at home so to say with your initial plane system model. You are a very smart man things clicked smoothly and quickly for me, its like you were born to be a teacher. Excellent work, you've more than deserved a new subscriber and an additional like to your videos. Fantastic work keep it up!

[@ChristopherLum]

Hi Sarang, 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. I have a playlist dedicated to control theory and related topics. I hope I'll hear from you at another video in the future. Thanks for watching! -Chris

[@selamhendrix5252]

Easy to follow breakdown of TF, the mathematica use in the end was very helpful. thank you.

[@djm90909]

It's been a decade since I took college calculus, so I had to replay this video a few times. I think I understand conceptually, but I definitely need more instruction of fundamentals.

[@ChristopherLum]

There are other videos on the channel that may be helpful. Thanks for watching!

[@sethwhittington28]

AE511: Good intro to transfer functions. I had heard of this before and possibly even had a light intro in my bachelors program but never understood what they were. This was helpful.

[@krystoflis7157]

Excellent review of TF's and using them Matlab, Mathematica and Simulink!

[@jijobabyjose8261]

Hey Christopher, I don't know how to thank you, brilliant pedagogy!!!

[@davenandrew7292]

You are a blessing to the world. Thank you sir!

[@ChristopherLum]

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 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

[@Hiyori___]

Once again I praise your videos and this time I'm pointing out how useful is for us student that you actually contextualize concepts explaining how they interconnect and how to apply them in practical scenarios. This is rare to find in this kind of youtube lectures (oftentimes the real final goal of a mathematical procedure is not even mentioned...) I'm watching your videos to prepare for a master of science in acoustic engineering and they're really helpful. also, ahahah... while you were plotting on Mathematica I continuously paused the video to figure out how to get the same thing on Matlab aaaand then you showed us, ahah should have predicted that

[@ChristopherLum]

Hiyori, that is great to hear you're getting into acoustic engineering. This is a fascinating realm I haven't had much exposure to but as you've discovered, control theory spans multiple disciplines. I hope to hear from you at another video!

[@ThomasNiemisto]

AE 511: Software examples are especially helpful, thanks.

[@gideonmasket1684]

I really enjoyed this video and it helped me a lot.

[@airesearch0844]

Awesome lecture series. Thanks a lot for dedicating your time to teach us :-) When the lecture started off it was assumed that there are N inputs (of y) and M outputs (of u). But when writing the general form of the LTI, where [output equation] = [input equation] the n and m were switched. No problem, it was consistent within that discussion. Small note: I used "lsim" function instead of using Simulink (of Matlab), and the good news is open source software Octave has "tf" and "lsim" functions. Just remember to load package named "control" to get the TF features. I used "gensig" function to generate the input. Thanks once again for the series.

[@ChristopherLum]

I'm glad it was helpful and thanks for the thoughtful discussion. I hope to catch you at another video. Thanks for watching!

[@nathanlipshutz3140]

AE511: Great review of transfer functions.

[@missohou6869]

thank you very much，appreciate your effort.very very very useful material!

[@user-ps5cr1rs8z]

This is very understandable video i have ever seen, thank you for renewing my interest to the control theory.

[@ChristopherLum]

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 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

[@wiloberlies9598]

Thank you for this, your videos are fantastic.

[@ChristopherLum]

Thanks for watching, I'm glad you enjoy them!

[@jonathan961027]

Thank You! Awesome lecture and example!

[@ChristopherLum]

Hi, Thanks for the kind words, I'm glad you enjoyed the video. If the find the these videos to be 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

[@darylfishback-duran3580]

AE511, Thank you for all these videos

[@eyupkayatuzi4444]

thank you for all effort

[@wes1588]

Good intro to transfer functions.

[@antoine1407]

very useful sir, thank you

[@ChristopherLum]

In case it is helpful, here are all my Control Theory videos in a single playlist kzbin.info/aero/PLxdnSsBqCrrF9KOQRB9ByfB0EUMwnLO9o. Please let me know what you think in the comments. You can support this channel via Patreon at www.patreon.com/christopherwlum. Thanks for watching!

[@xdee4502]

Thank you very much, sir

[@zhc3404]

Hi professor, your video on control theory hasn't been updated for a long time!Expect to see more of your videos on control theory, especially the linear estimator you mentioned in the previous video.Your video helped me a lot. Thank you for your video. I wish you good health and all the best

[@themiyaprabath451]

Hello Mr Christopher lum I'm an aeronautical engineer . I'm following your KZbin channel to learn control theory. Can you suggest any book for referring on aircraft control theory? Thank you very much

[@ChristopherLum]

@@themiyaprabath451 Hi, Thanks for reaching out, I'm glad you enjoyed the video. Unfortunately I'm unable to respond to questions on KZbin 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

[@robertowagnerdacosta2508]

Esse é o canal do controle! Penas que achei somente no fim da faculdade. Mas ainda da para aproveitar para o TCC.

[@nathanoliveira7889]

Abaixo assinado para todas as faculdades que tem a matéria na grade ter como referência esse canal ! kkkkk

[@kristenleenerman1351]

Great summary of transfer functions

[@hairypaulsack]

How did you get your start in control theory just wondering?

[@alanlee4326]

AE511-Great Intro to TF.

[@paritoshkumar9062]

Can i show e^-5s like that etc in simulink particularly using LTI or TF block ...? Any other block for suggestions?

[@MOHITKUMAR-xe7bg]

can you tell me the lecture which you are referring for laplace transform?

[@anukaranpatne]

Very helpful, thank you.

[@ChristopherLum]

I'm glad it was helpful. There are other videos on control theory on the channel, please feel free to check them out, thanks for watching!

[@SaRa-vq7mk]

thank you so much sir

[@Jenicek109]

Once again, hats off to the Teacher (yes, capital T). Thanks.

[@ChristopherLum]

I'm glad it was helpful. There are other similar videos on the channel please feel free to check them out. Thanks for watching!

[@farzadzarei3632]

Hi, your teaching is fantastic. Haw can I have access to high quality of your videos? Thanks

[@wkuntjoro6130]

Great lecture

[@ChristopherLum]

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 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

[@devarshpatel6063]

Most of the time, I need to watch the lectures on YT 2-3 times before I totally understand the subject. But, It only took one time to absorb this. Thank you so much for such an extensive playlist of control engineering. Do you have a lecture video on z transform for signal sampling? I tried looking for it but couldn't find anything.

[@ChristopherLum]

Hi Devarsh, 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

[@kaisemuw7074]

AE 511. Great video.

[@601106790]

wonderful lecture. One moe thing, could you please make some vedios about control system identification?

[@gitarplayer13]

AE511 - Thank you!

[@Macostic_]

Thanks a lot 🙏

[@ChristopherLum]

Hi Ransford, 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

[@veervikramsingh6905]

Does the non linear systems are MIMO?

[@edwardsanchez2331]

AE511, good lecture

[@karthikmurthy2511]

Hi sir, kindly make a video on Nyquist stability criterion.

[@shortsclips210]

professor can i ask which book you are following ?

[@leonhardbalster7307]

Thanks a lot :)

[@ChristopherLum]

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!

[@abdulrahmanabdulmoghni9047]

YOU are the best

[@ChristopherLum]

Hi Abdul, 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

[@dinesh1286]

There is a theory among the model plane makers is this that, we have to give a slight pitch down to the motor and prop combo for stability for a tractor type and a pitch up for pusher type. what exactly is the physics behind that theory.

[@joanfco1]

Great. I like the explanation. Do you use the book "fundamentals of modern control by Ogata"?

[@zebulonzhang1359]

i want to know too

[@serhatarslan4138]

ı appreciate for this usefull videos

[@ChristopherLum]

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!

[@zhangwenlong4839]

Good

[@PapaKevs]

Hi, I notived that your formula for the Laplace transform of the nth derivstive should be s^nF(s)-s^(n-1)f(0)-s^(n-2)f'(0)-...-s^0f(n-1)(0)

[@TimurChepiga]

And thus legend was born

[@ChristopherLum]

I'm glad it was helpful, thanks for watching!

[@merondesta3895]

thankyou for your video then how about the linear quadratic tracking? linear quadratic gaussian

[@ChristopherLum]

Thanks for reaching out. If you have questions or would like to request a video, please consider supporting the channel via Patreon at www.patreon.com/christopherwlum. I interact personally with Patrons at all levels. Thanks for watching!

[@themiyaprabath451]

can you tell us any books?

[@kevinbrowne915]

What do we do in the case of a non-zero initial condition? For example, the differential equation y''(t)+y'(t)+y(t)+C = u(t). Is it possible to write a transfer function for this system? Is there a way to use substitutions with a change of variable (not sure how though)?

[@ChristopherLum]

Hi Kevin, Thanks for reaching out, I'm glad you enjoyed the video. Unfortunately I'm unable to respond to questions on KZbin 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

[@PapaKevs]

On previous comment nevermind. I didn't see your lower case ns in the equation on my tiny screen.

[@brianhumphreys5161]

AE 511

[@justinhendrick3743]

AE511

[@yahiafoughali5519]

ى

[@Edu.com19]

I want pdf sir with example

[@Edu.com19]

I want pdf sir