EEVacademy #6 - PID Controllers Explained

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  • เผยแพร่เมื่อ 31 ส.ค. 2017
  • David explains PID controllers.
    First part of a mini-series on control theory.
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ความคิดเห็น • 337

  • @MarcoTedaldi
    @MarcoTedaldi 6 ปีที่แล้ว +202

    "control theory, feedback appreciated" 😊😊😂

    • @mukil_saravanan
      @mukil_saravanan 3 ปีที่แล้ว +6

      Negative feedback is good 😆

  • @MartynDavies
    @MartynDavies 6 ปีที่แล้ว +122

    00:17 "any feedback would be appreciated". Aha feedback: control theory. I see what you're doing there ;-)

  • @kevyelyod1211
    @kevyelyod1211 6 ปีที่แล้ว +37

    I look forward to more control theory videos.

  • @Mr321ruben
    @Mr321ruben 23 วันที่ผ่านมา

    I was like in a total dark room, and now there is a ray of light. Thanks a lot Bro.

  • @Electronicszen
    @Electronicszen 6 ปีที่แล้ว +30

    Very easy to follow, clear and fun explanation of what PID Theory is. Thank you David. Looking forward for the continuation of this topic. Good job!

  • @uzimonkey
    @uzimonkey 6 ปีที่แล้ว +101

    I use PID controllers in a different context: game development. You'll often have a variable you need to drive to a value, but need to do it in a kind of smooth or organic way. Instead of writing a new way to do it every single time I need to do this, I use a PID controller. This is especially useful when other things are trying to effect this value as well, as the PID controller can react and push harder toward the set point and generally won't overshoot the set point.
    It is of course also very useful in physics simulations. I've made a hovercar just by making 4 "thrusters" on the bottom of the car, using the distance to the ground at that location as my setpoint and adding forces at those locations. If I were to try to program something like that, first I think it would take a while, but second I think I would end up with something a lot like a PID controller. They're just useful all over the place in gamedev.
    I also like to think in simplified terms, usually I'm not doing equations and figuring things out exactly in gamedev, it's more of a "put values in until it looks right" kind of task. So imagine a cube that can only move up or down and the PID controller is controlling an upward force against gravity and we want it to hover at a certain height. P is the power, it's responsible for the majority of upward force. D is the damper, it wants to stop all movement, it's responsible for killing oscillations. I is intelligent, it'll make the small adjustments that P and D can't do, namely without I the cube will never quite get to the desired height. This is definitely not engineering, so definitely not an engineer's way of thinking about it but I think it's very useful.

    • @bloodyl_uk
      @bloodyl_uk 6 ปีที่แล้ว +1

      Exactly what I saw in watching this video, cheers.

    • @victornpb
      @victornpb 6 ปีที่แล้ว

      Yeah I used it in software a few times as well.

    • @iamjimgroth
      @iamjimgroth 6 ปีที่แล้ว

      uzimonkey I use this for AI controllers. :)

    • @justinbouchard
      @justinbouchard ปีที่แล้ว

      i love principles that can be applied to mass amounts of different applications
      absolutely fabulous

  • @TheHuesSciTech
    @TheHuesSciTech 6 ปีที่แล้ว +49

    I think you missed the main point of the D term. If your oven has a lot of thermal mass, *both* the P and the I terms will suffer from overshoot. The D term is very specifically the anti-overshoot term; because it's the only one "smart" enough to see "the oven is below the target temperature, but nevertheless I'm going to vote *against* putting in more effort because it is trending up so fast that I can see it might overshoot soon". On the flip side though, it's refreshing to see a video that doesn't claim/imply that PID controllers are perfect in all scenarios; thank you for mentioning bang-bang controllers.

    • @ramueller11
      @ramueller11 6 ปีที่แล้ว +14

      That's a good point. To go futher PID terms could be considered the present, past and future terms, respectively.

    • @qcnck2776
      @qcnck2776 6 ปีที่แล้ว

      ramueller: Thanks, that is a great way to look at it

    • @JRush374
      @JRush374 6 ปีที่แล้ว +3

      TheHue's SciTech this is what I was thinking too. The D term would take the current position and its derivative and use that to calculate an approximation for a future position. If it's getting close to the set point but is still pushing hard towards that set point, the D term puts on the brakes to help prevent overshoot. Then in the next time step it calculates the approximation again and adjusts accordingly.

  • @adamsfusion
    @adamsfusion 6 ปีที่แล้ว

    This was so cool and so enlightening. I'm just a hobbyist, but I love diving into the work of degreed professionals and seeing what kinds of things they learned in school, and these EEVacademy courses are like a treasure trove of direct info as well as info to look up later.

  • @pacsmile
    @pacsmile 6 ปีที่แล้ว +13

    What a nice way to explain this, i wish my teachers at college taught me like this, keep up the good work!

  • @krgtim
    @krgtim 6 ปีที่แล้ว +1

    I hesitated to click on this video because I usually watch Dave's EEVBlog videos to slowly fall asleep, but now that I have found some time to watch it out of my usual schedule I have to say I really liked it for the educational aspect. Please make more videos like this one! Thanks!
    Oh and nice touch with the picture at the end. That made me actually chuckle a little bit.

  • @Mr.Newlove
    @Mr.Newlove 6 ปีที่แล้ว +174

    Great video, and contrary to other comments; keep the math or even have more of it. But with some people talking about including electronics, maybe you could have used a small heater element and an Arduino to demonstrate real-time tuning? Or even auto-tuning like many 3d printers use for their heaters.
    In the end a strong foundation in the theory followed by a good practical example of the implimentation is a great way to drive things home.

    • @itzlagana
      @itzlagana 6 ปีที่แล้ว +1

      maybe steal a vid of an inverted double pendulum

    • @qcnck2776
      @qcnck2776 6 ปีที่แล้ว

      I second that, esp using an Arduino. Great vid, many thanks

    • @wgm-en2gx
      @wgm-en2gx 6 ปีที่แล้ว

      Does anyone know of a good simulator of an over or inverted pendulum in which you could try applying a PID controller to?

    • @wgm-en2gx
      @wgm-en2gx 6 ปีที่แล้ว

      Can you post links in YT comments? This might be a good simulation. robotic-controls.com/static/inverted-pendulum/
      If the link does come through google robotic-controls inverted-pendulum. There is a link in the article for the simulator.

    • @metheone4
      @metheone4 6 ปีที่แล้ว

      why not?YT=Google and links are not copyright protected,soooo....

  • @coje4219
    @coje4219 6 ปีที่แล้ว +2

    Great video, very informative and well done 🤗 looking forward for the rest of the series!

  • @Mr321ruben
    @Mr321ruben 23 วันที่ผ่านมา

    Thanks, it is a very fresh way to explain the concepts. I am less lost with this explanation I think I am going though a good path

  • @maniacalcactus4705
    @maniacalcactus4705 6 ปีที่แล้ว +87

    Holy crap this is the boring part of the series?!? I can't wait for the rest this was incredibly interesting

    • @ficolas2
      @ficolas2 6 ปีที่แล้ว +3

      Maniacal Cactus my thoughts exactly

    • @iwtommo
      @iwtommo 6 ปีที่แล้ว +5

      Have a look at "Teaching old motors new tricks" for some real juicy control system nerdiness

    • @y.z.6517
      @y.z.6517 4 ปีที่แล้ว

      I read this topic before, but this video makes it much easier.

  • @Axelios
    @Axelios 6 ปีที่แล้ว +2

    Nice PID video. I thought I already knew everything about PID but you taught me several things I hadn't realized or come across. It was worth the 27 minutes!

  • @jeremyhall7259
    @jeremyhall7259 6 ปีที่แล้ว

    An actual good video on PID controllers, FINALLY! I have been trying to learn these for years!

  • @avejst
    @avejst 6 ปีที่แล้ว

    Thanks for sharing 😀👍 happy new year to you and Dave

  • @vehasmaa
    @vehasmaa 6 ปีที่แล้ว +1

    Great video and one of most clear explanation of PID control i have seen.

  • @DingoAteMeBaby
    @DingoAteMeBaby 2 ปีที่แล้ว

    Finally a simple PID controller explanation!

  • @KX36
    @KX36 6 ปีที่แล้ว

    So refreshing to see something about PID controllers on TH-cam that isn't just tuning by guessing random numbers until the steady state looks OK and never checking the step response which always ends up massively overdamped (like orders of magnitude slower than it could have been).

  • @jwilliams8210
    @jwilliams8210 6 ปีที่แล้ว +1

    David, nice job balancing examples and theory.

  • @scalcon1
    @scalcon1 6 ปีที่แล้ว

    Really enjoyed the video, keep up the great work.
    Looking forward for more control videos.

  • @amd64online
    @amd64online 6 ปีที่แล้ว

    Theory was great to follow alongside, looking forward to the practical.

  • @JonathanDFielding
    @JonathanDFielding 6 ปีที่แล้ว

    Thank you! I took control theory in school but this really helped to understand the PID controller much better.

  • @0ADVISOR0
    @0ADVISOR0 6 ปีที่แล้ว

    Awesome Info about pid loops! I was just tuning my quadcopter and reading about pid's and now you uploaded more Info, cool thx =)

  • @16baad
    @16baad 6 ปีที่แล้ว

    Excellent series, Keep it up, I am waiting for more of these EEVacademy videos

  • @davidannett3322
    @davidannett3322 6 ปีที่แล้ว

    You're a fantastic presenter! So detailed and engaging!

  • @Hasitier
    @Hasitier 6 ปีที่แล้ว

    I like this kind of videos. And you are getting better from video to video. Go on with the great work Dave 2!

  • @peoplethesedaysberetarded
    @peoplethesedaysberetarded 6 ปีที่แล้ว +1

    Greetings.
    One immediate recommendation: please don't wait until 5 minutes in next time to define your main acronym.
    Common practice is something like this: "Proportional Integral Derivative (PID) Controllers Explained." Right there in the title or title slide. Boom. Done.
    This isn't a slight against you or hate-mail, just a touch-stone to one common recommendation of providing clear technical writing.

  • @johalun
    @johalun 6 ปีที่แล้ว

    Great video, thanks! Looking forward to the next one.

  • @cveliz_
    @cveliz_ 6 ปีที่แล้ว +3

    Nice video, very well explained. Thank you David

  • @Audio_Simon
    @Audio_Simon 6 ปีที่แล้ว

    David2 brilliant video, just the right balance of explanation in each area for me :)
    Looking forward to the physical example.

  • @lloydrmc
    @lloydrmc ปีที่แล้ว

    Truly brilliant presentation. Relating the equations/terms to the graphs made it understandable to people like me.

  • @lasersimonjohnson
    @lasersimonjohnson 6 ปีที่แล้ว +1

    I spent alot of my career coding PID loops in PLCs.
    Good video David :)

  • @billmoran3812
    @billmoran3812 6 ปีที่แล้ว

    Excellent! Excellent! Excellent! I learned basic control theory in college over 40 years ago. It was hard to understand just the theory. I've worked with PID controllers ranging from mechanical analog to fully digital controls for the past few decades. The best way to understand tuning is to do it hands on. It gives you a feel for the dynamics of the process and the amount of hysteresis in the loop. I can't wait to see the inverted pendulum project.
    This is incredible content. Well done!

  • @peterdkay
    @peterdkay 6 ปีที่แล้ว

    Excellent presentation that gives you a good "feel" without maths. Look forward to next viseo

  • @samgab
    @samgab 6 ปีที่แล้ว +1

    Thanks for your efforts. It would be cool to see this PID info from the point of view of model quadcopters, as PIDs, and tuning PIDs are a huge thing with getting rc model quadcopters working properly.

  • @colinterry7261
    @colinterry7261 6 ปีที่แล้ว +3

    Hey! I'm working through my Electrical Engineering degree. I thought this was honestly pretty good. I appreciate the layman explanations of control theory. I am actually taking a controls class soon, so this makes me feel better about that class. There was a bit of rambling and bouncing around, but that's fine. I do that when I explain things to newer students, lol. I also appreciate the math. It's nice to see application, so to speak, rather than just concepts. Keep up the good work! I look forward to more videos on this topic!!!

  • @Bl00drav3nz
    @Bl00drav3nz 6 ปีที่แล้ว

    Thanks David, really interesting topic and I'm looking forward to the next video! :D

  • @radoslavradoslavov3528
    @radoslavradoslavov3528 ปีที่แล้ว

    If I can't get this explanation I can't get any other. Thank you very much!

  • @joaovoltani5857
    @joaovoltani5857 6 ปีที่แล้ว +1

    The best video of the series so far, good job David!

  • @xanderlander8989
    @xanderlander8989 6 ปีที่แล้ว

    Really good video! Interested in the inverted pendulum robot design, component selection, and build. Also excited for tuning the little guy. I've watched several people in my university try to build these for fun or for a class, but they never preformed very well.

  • @Liamtronix
    @Liamtronix 6 ปีที่แล้ว

    Great video! I was just thinking about learning about this and then this vid came out. Perfect timing!

  • @chromerims
    @chromerims ปีที่แล้ว

    Valuable, informative and helpful content👍. Thank you.

  • @jb3757
    @jb3757 2 ปีที่แล้ว

    loved it, simple, clear, and to the point

  • @anishsarkar120
    @anishsarkar120 6 ปีที่แล้ว

    love the video dave2 as i am studting control engiuneering in uni and you also covered the topic and no mistakes to spot

  • @metaforest
    @metaforest 6 ปีที่แล้ว

    Years ago, I developed several user-content 'toys' in Linden Labs' SecondLife that use PID controllers to simulate 3-D tracking behaviors and in one case, a very realistic tire-swing within the environment. It was fun to see this video and revisit my own experience in developing and tuning a PID controller in that context.

  • @NilsRohwer
    @NilsRohwer 6 ปีที่แล้ว +1

    Great video, thanks! I first saw them in flight controllers for racing drones. There you have to tune your PID's and see the results immediately! Now I really understand how and why. With the drones the P is the responsiveness of the sticks in relation to the drones movement. You want it as high as possible, the I is the drones ability to hold the angle you set it at while flying, and the D is used to dampen oscillations from too high P, however it does make the drones more sluggish. As you said, D resists change, makes sense. Tuning those quadracopters is an art, a blend of snappy controls and smooth video. I really enjoyed this!

  • @cosmicmatrix6238
    @cosmicmatrix6238 6 ปีที่แล้ว

    OMG i'm just a few minutes into this and it's AMAZING good on ya mate

  • @DavidLightman
    @DavidLightman 6 ปีที่แล้ว

    wow that was extremely interesting!, will look more into that, and looking forward for the next one, thank you!.

  • @mrkattm
    @mrkattm 6 ปีที่แล้ว +1

    Nice job, Controls was my elected concentration as an undergrad EE student until they introduced the State Space method at which time I changed to digital and computer design, a choice I regret. I am looking forward to this series, keep up the good work.

  • @Rost1337
    @Rost1337 6 ปีที่แล้ว

    Great mix of math and examples! Keep it up.

  • @eziosoft
    @eziosoft 6 ปีที่แล้ว +16

    More videos like this please !

  • @TheBigBigBlues
    @TheBigBigBlues 6 ปีที่แล้ว

    Great video David, well explained.

  • @alimmi9
    @alimmi9 6 ปีที่แล้ว

    Thanks alot! I needed exactly this video! Please continue :)

  • @ZPositive
    @ZPositive 6 ปีที่แล้ว

    Awesome video. I'm stoked to see the pendulum bot take shape! And yes, please keep the math in there.

  • @alekseydudko6961
    @alekseydudko6961 6 ปีที่แล้ว

    Great video! Thanks Dave!

  • @AmRadPodcast
    @AmRadPodcast 6 ปีที่แล้ว +1

    Nicely presented.

  • @mysomervda
    @mysomervda 3 ปีที่แล้ว

    I liked this explanation. Good job David.

  • @viodel8032
    @viodel8032 ปีที่แล้ว

    Many thanks for this amazing video. Best wishes!

  • @fanest_norfar
    @fanest_norfar 6 ปีที่แล้ว

    Just the other day i said to myself that i have to look at theory behind PID again since i need to do some regulation and here u come with this video - just perfect :D.

  • @MkmeOrg
    @MkmeOrg 6 ปีที่แล้ว

    Very well done. Not an easy topic to explain but hugely useful and widely utilized. Few robotics or flight controllers out there not using PID control.

  • @mdrew44628
    @mdrew44628 6 ปีที่แล้ว +3

    Great explanation. Looking forward to the continuation of the series

  • @jcobnl
    @jcobnl 6 ปีที่แล้ว +1

    Great video. I hardly understood how these kind of controllers work, like ambient room temperature controllers or a cruise control system, and how they deal with overshoot. Until now.

  • @davidabineri908
    @davidabineri908 6 ปีที่แล้ว

    More like this please, perhaps adding an actual device/program to demonstrate the concepts in context. Very good, clear explanations. Thanks!

  • @omar7amdi
    @omar7amdi 6 ปีที่แล้ว

    Thanks and I hope the other parts are better. As a matter of fact you presented more information than the others who talked about PID. PID is vague subject presented by books and many instructors.

  • @s.campos9682
    @s.campos9682 หลายเดือนก่อน

    Absolutely great presentation and gace me a further understanding

  • @captdrsam7773
    @captdrsam7773 3 ปีที่แล้ว

    Thanks.one of the best explanation .I like the way you combine mathematics together with the actual thing. It really make sense to me, better understanding since I am only good at math but not so to relate it with the actual thing. Once again thank you so much for your fantastic effort to teach us. God bless you Sir.

  • @dardosordi
    @dardosordi 6 ปีที่แล้ว

    Great Video, David, much better presentation too, you are getting better every time, seems like you were tuning your constants...

  • @matheoml
    @matheoml 6 ปีที่แล้ว

    Awesome explanations!

  • @bacawaka2813
    @bacawaka2813 6 ปีที่แล้ว

    Awesome! I've taken a controls course before but I never learned the Ziegler-Nichols method. In fact, we never actually touched tuning other than using a given transfer function and finding the corresponding PID values by using a root locus. The major issue is that you have to get the appropriate model first then convert to a transfer function which is already a lot of math. Then you can finally get the transfer function to find the PID values which, in most cases only gets you in the ballpark of the system response you desire. Even then there is trial and error involved at the end to get it dialed in to that response.

  • @adithyaa1
    @adithyaa1 6 ปีที่แล้ว

    Excellent video. Thanks

  • @CaliReef
    @CaliReef 6 ปีที่แล้ว +7

    Loved it, would like to see more of the math, and maybe a demostration implementing the control theory.
    3rd year EE

    • @nukularpictures
      @nukularpictures 6 ปีที่แล้ว

      woot and then you havent had a lecture about that? After 3 years?

    • @CaliReef
      @CaliReef 6 ปีที่แล้ว +1

      nukularpictures taking it next semester actually.

    • @nukularpictures
      @nukularpictures 6 ปีที่แล้ว

      Wow that is late. I had it in the 3rd and 4th semester. But yeah its a really interesting topic, especially with the more advanced controllers and fuzzy control.
      Its a good choice :)

  • @mandomonica
    @mandomonica 2 ปีที่แล้ว

    Best explanation ever! Thank you!

  • @toastrecon
    @toastrecon 6 ปีที่แล้ว

    Very helpful, thank you!

  • @tobyccw
    @tobyccw 5 ปีที่แล้ว

    Great video, would you help me to understand.
    if i do a bode plot on the " treadmill "analogy
    1.what is the frequency input?
    2. what is the gain of the bode plot in this case? is it the same as PID gain?

  • @sloMoses
    @sloMoses 6 ปีที่แล้ว

    Well done. Thank you.

  • @uwezimmermann5427
    @uwezimmermann5427 6 ปีที่แล้ว +1

    Absolutely a nice video - it started a bit rough, but once David got into the flow, it became very clear and nice to follow. When explaining the I-part, you should perhaps also have shown the actual "temperature" or state of the oven instead of just the error. You could have combined the two in a single graph where you had shown a line for the setpoint and drawn the error between the setpoint and the actual state.
    YES, keep the math, it is necessary here!

  • @mingijeong3956
    @mingijeong3956 4 ปีที่แล้ว

    Thank you for your great video. Should y-axis of 17:42 part graph be value (set point and present value) not error? Since, it does not make sense to me that we try to set the error at a certain stable value.

  • @spikeyeddy
    @spikeyeddy 5 ปีที่แล้ว

    great explanation

  • @oliss10
    @oliss10 6 ปีที่แล้ว +1

    This is my line of work :) Measuring instruments, controllers and process valves :) and PLC's naturally :)

  • @lasersbee
    @lasersbee 6 ปีที่แล้ว

    Love the explanations of PID tuning... Well done Dave#2..
    An electronic/mechanical setup with demonstration would be an added feature.
    Could you possibly put a link in the description to the Animated PID Graph ?

  • @AmyAndrewAdventures
    @AmyAndrewAdventures 6 ปีที่แล้ว

    Thank you!! Excellent video!!

  • @CanDoo321
    @CanDoo321 6 ปีที่แล้ว

    Thank you David.

  • @sher.5027
    @sher.5027 3 ปีที่แล้ว

    Thanks for this video.

  • @Landrew0
    @Landrew0 6 ปีที่แล้ว

    Excellent explanation, much better than Dave, who can make the simplest concept incomprehensible by over-explaining it to death.

  • @JGnLAU8OAWF6
    @JGnLAU8OAWF6 6 ปีที่แล้ว +2

    Do more videos on control theory, that stuff is amazing.

  • @johnpossum556
    @johnpossum556 6 ปีที่แล้ว +1

    feedback: Screech your voice like Dave, it throws my thinking off. Seriously, Dave, that was an excellent vid on digital data logic sheets. I went to college for Avionics tech and that was above and beyond. That is the kind of content I really enjoy watching from you. Something that furthers my understanding of a topic I already love.

  • @ajj7794
    @ajj7794 4 ปีที่แล้ว

    WHERE is the NEXT VIDEO. I LOVE your method of teaching. pls do more. i have done courses in control but i feel enlighted each time i watch great videos as this really show how simple PID control theory is.
    i still am not very confided on the propotional part but i have a good idea as its just an offset constant but still i would like to improve my understanding of it furthur and thus seeing ure example with an actual system will be veyr useful.
    i am very greatful for this.
    MANY THANKS

  • @peekpt
    @peekpt 6 ปีที่แล้ว

    The last graphic explains very well

  • @blickberg8404
    @blickberg8404 6 ปีที่แล้ว

    Awesome video.

  • @tzampini
    @tzampini 6 ปีที่แล้ว

    Excellent explanation of PID control. Thanks.

  • @TheDuckofDoom.
    @TheDuckofDoom. 6 ปีที่แล้ว

    Good effort.
    You forgot the essential role of the delay in the control feedback loop, without this system delay there would be no need for PID controllers.
    I wish I could recall the website I found many years ago(~15) explaining PID control, it was very spot on, covered the math in a reasonable manor(especially the strengths of the three components at different levels of initial error) and it had some very nice example graphs.

    • @davidledger5941
      @davidledger5941 6 ปีที่แล้ว

      Delay isn't the only reason for PID controllers, infact in many system models it can be ignored. Delay is very significant in systems involving heating and cooling and I suppose I did talk about that so maybe should have mentioned it.

  • @91722854
    @91722854 6 ปีที่แล้ว +1

    Ever since I learned Control, I see it everywhere, we are all in harmony because of the feedback and control of our systems with Brain OS, mine currently have 1024 bit cpu, 4096 TeraByte of RAM, but need an upgrade to my soft drive

  • @mortenlund1418
    @mortenlund1418 4 ปีที่แล้ว

    Nice explanation

  • @TripleJ85
    @TripleJ85 6 ปีที่แล้ว +3

    Nice one David - clear and concise..
    I wish I had resources like this when I was a student - maybe I would have learned more and played less poker :/

  • @johnsnow5305
    @johnsnow5305 6 ปีที่แล้ว

    I don't know how this was boring lol. I guess I just like learning, so I found it interesting. I love learning how math works in the 'real world' - I die trying to learn math purely for math's sake. So something like a PID controller is perfect for me - shows how you can use math in the real world to achieve things you want. I'm glad you included the animation at the end - it definitely helps to see the effects of variable changes in real time like that.
    I hope you guys do a tear-down or something of a typical PID controller during this series. I would love to learn how the circuits / components work together to make this math happen.

  • @ocnyoura6803
    @ocnyoura6803 5 ปีที่แล้ว +6

    "Cooking my chicken at 10 degrees" lmao

  • @dentakuweb
    @dentakuweb 6 ปีที่แล้ว +5

    That was much better paced than your first videos.
    The next videos with real examples should be fun. I remember you talking to Dave about the balancing robots on The Amphour.

    • @davidledger5941
      @davidledger5941 6 ปีที่แล้ว

      Thanks for the positive feedback!

    • @Audio_Simon
      @Audio_Simon 6 ปีที่แล้ว

      dentakuweb Agree good pacing, getting really good now.

  • @SaurabhGavali
    @SaurabhGavali 6 ปีที่แล้ว

    Overall a really helpful video on PID controller...can u also discuss Offset in P-only control..I found that P-only offset in ur video is implicitly explained at the end