PID temperature controller DIY Arduino

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Electronoobs

Electronoobs

Күн бұрын

Пікірлер: 426
@asswipe3079
@asswipe3079 6 жыл бұрын
On behalf of all mechanical engineering students, thank you so much for breaking this process down into something we can understand!
@j3s0n
@j3s0n 4 жыл бұрын
The heating element can be represented by a first-order transfer function if you apply a step input (e.g 5 V or 12 V or whatever the supply voltage is). Plot the transient behaviour as the temperature raises and settles about a value (sample at regular intervals though). This will fit the equation K/(s(tau)+1). K is the gain so that will be the maximum temperature of the plot. Tau is the time constant and this will be the time it takes for the element to reach about 63% of its maximum temperature. You can either simulate this in Simulink and play with the PID values (make sure you use the z-domain rather than the s-domain though. If you don't want to use simulink then just use a tuning method like ziegler nichols
@RossOCarroll3301
@RossOCarroll3301 Жыл бұрын
This is incredible. I am an MD doing research in neuroscience trying to make an in-line heater for live-cell imaging. This video is exactly what I needed. absolutely stunning!!! :D :D
@emoryolsoff96
@emoryolsoff96 7 ай бұрын
How did it work out?
@hippie-io7225
@hippie-io7225 6 жыл бұрын
One of the best PID explanations I've seen. You are an excellent educator. Thanks!
@LM-uz4pr
@LM-uz4pr 4 жыл бұрын
Going to make some rosin with this info? lol
@mohammedalshrief532
@mohammedalshrief532 3 жыл бұрын
Pidkzbin.info/www/bejne/hKjYimqnl9hles2kidpid pid line follower robot
@embeddedsystemsiotprojects2055
@embeddedsystemsiotprojects2055 3 жыл бұрын
@@mohammedalshrief532 thankes
@marcus_w0
@marcus_w0 6 жыл бұрын
I really love your enthusiasm. You're getting better and better. As a viewer right from your first few videos it's amazing to see your progress. Keep on!
@mohammedalshrief532
@mohammedalshrief532 3 жыл бұрын
I made my machine learning pid iron station and i made pid code by helping your videos great man
@mohammedalshrief532
@mohammedalshrief532 3 жыл бұрын
And mad pid line follower 🙂❤👌pidkzbin.info/www/bejne/hKjYimqnl9hles2ginefollowerpid
@demesisx
@demesisx Жыл бұрын
Great job. Everyone else is launching rockets and having us use PID for telemetry. Thanks for simplifying it and making it accessible.
@VasilisKarastergios
@VasilisKarastergios 6 жыл бұрын
Thanks for all the time and effort you put in to this video, very well explained!
@belenhedderich3330
@belenhedderich3330 6 жыл бұрын
cant wait to see the recycling extruder project. Thank you! Amazing project!
@neogabo123
@neogabo123 4 жыл бұрын
Guys why is it that there is a diode on the protoboard for the part that controls the heater ? i dont see it in schematic (min 6:52). Truly one the greatest PID explanations on youtube! Thanks you guys! Keep at it!! :D
@adabill295
@adabill295 6 жыл бұрын
I've been trying to do a PID with Arduino for Sous Vide cooking. The tuning of the PID is the most difficult process for me. The key is to have the patience and good data collection to adjust the various parameters correctly. I tried to doo it with a Crock Pot but there isn't any circulation in a crock pot and I couldn't get the temp deviations down to an acceptable level.. Very good video with good starter information.
@raffaysajjad
@raffaysajjad 5 жыл бұрын
Can you share your thoughts about how you brought the temperature deviations down to an acceptable level?
@Meatlove
@Meatlove 6 жыл бұрын
This might be the basis for a new barbecue controller project. Thanks for the effort in making such a clear and complete tutorial.
@lericode
@lericode 6 жыл бұрын
Siento que la calidad de los vídeos es cada vez mejor, felicitaciones, como siempre increíble.
@martinhavshjsrensen253
@martinhavshjsrensen253 6 жыл бұрын
Ahh... How nice with a video without JLC commercials! ;)
@kyanjenkins5932
@kyanjenkins5932 5 жыл бұрын
Great explanation! I'm what you could call a beginner in grade 10 at school but I've picked up on the basics really quickly and have decided to do a project for in the house. I am going to use a PID to control the temperature for an espresso machine. This explanation was really useful, but still alot of research to do!
@anonrider8870
@anonrider8870 6 жыл бұрын
man you have one of the best electronics projects channel on KZbin!!! good job!
@Johann75
@Johann75 2 жыл бұрын
This is what I have been looking for my pastry proofer. Thank you very much Sir.
@jamescullins2709
@jamescullins2709 5 жыл бұрын
well done, I like the way you did not use libs but wrote the code yourself, it is easier to see what you are doing.
@21mejia25
@21mejia25 2 жыл бұрын
Great video. You inspired me to build a fan for my smoker to control temps for long cooks.
@steveeb00
@steveeb00 5 жыл бұрын
I haven't even watched the video and I gave you a Thumbs Up. I hope this is exactly what I need to control my burnout oven.
@isettech
@isettech 5 жыл бұрын
May need elaboration for more advanced engineers on the thermocouple. They DO NOT put out a voltage based on temperature. They work on a difference in temperature between a hot junction and a cold junction. The example video is OK for an elevated temperature in a temperature stable room, but would not work to control the temperature of the room because the cold and hot junctions would be at the same temperature. Great introduction, and a good place for more advanced students to learn about the hot and cold junctions and temperature measurement of the cold junction to get accurate values for the hot junction. The more advanced students and engineers can locate the cold junction in this example.
@AhmedAmer-he1de
@AhmedAmer-he1de 4 жыл бұрын
this is litterely what i needed for a school project and this helped a lot
@mmdnaderi7183
@mmdnaderi7183 5 жыл бұрын
Another great video! I have a question why did you use BJT transistor to drive mosfet ? how much voltage passes into bjt? 12 or 5 ? if 5 why you didn't use Arduino pin directly And another question why did you use a 10k resistor on mosfet gate ?? Thank You
@shariqislam786
@shariqislam786 2 жыл бұрын
Bjt is used since the mosfet has capacitance between gate and drain and the moment you apply voltage to the gate the capacitor starts charging almost instantaneously which requires current greater than arduino pin can provide increasing the switching time and if the switching is not fast, pwm control will not work properly. Please see great scott video on mosfet drivers to understand better. Also the 10k resistance is added to not keep the gate floating when bjt is off.
@yameenansari9039
@yameenansari9039 Жыл бұрын
When we need fast switching like pwm then we use any gate driver
@DavDoubleOSeven
@DavDoubleOSeven Жыл бұрын
I can easily understand your english, it’s very good
@zeeshanejaz3044
@zeeshanejaz3044 2 жыл бұрын
really helpful for Mechatronics engineers
@masoodabbasi2527
@masoodabbasi2527 6 жыл бұрын
Nice Work. I have couple of questions related to source code 1. Why 3 is added in PID_error " PID_error = set_temperature - temperature_read + 3; " 2. Why kp (gain) is multiplied by 0.01 and in I value 0.01 is multiplied by PID_i and not Ki " PID_p = 0.01*kp * PID_error; //Calculate the I value in a range on +-3 PID_i = 0.01*PID_i + (ki * PID_error);" 3. In your case how you figure out that " PID_value" can be directly written to PWM pin with inversion. How you calculated relationship that this value will produce desired result?. " PID_value = PID_p + PID_i + PID_d; analogWrite(PWM_pin,255-PID_value);"
@ELECTRONOOBS
@ELECTRONOOBS 6 жыл бұрын
The 3 is added to set a higher reaal value than the set one. You can remove that if you want. The 0.01 can be removed but than change the Ki and Kp and divide those by 100 on the top of the code. To finde the PDI constants I've just made tests and more tests and always having the PWM signal on the oscilloscope and the real temperature printed.
@W00PIE
@W00PIE 2 жыл бұрын
Good point, especially number 3. I'm trying to understand the code, shouldn' t there be some kind of mapping function that takes the PID_value and generates an output according to a specified range? And what is the range of PID_value?
@MCsCreations
@MCsCreations 6 жыл бұрын
Really nice, man! Great job! 😊
@andrezsa23
@andrezsa23 6 жыл бұрын
Exelente control pid lo usaré para modificar un horno para soldar smd ojalá lo hubieras hecho en español
@guansun1571
@guansun1571 4 жыл бұрын
Thank you so much for sharing Sir . I am trying to make my own soldering station by myself recently.
@nielslarsen1094
@nielslarsen1094 6 жыл бұрын
I like this video. From many years of experience i will advise you to have a function on your coming soldering station controller, where it enters sleep mode, reducing temperature when not being active soldering. This is due to the fact that soldering tips are " burning out ", when standing idle with high temperature. Also the nickel layer is thin, especially on the chinese iron tips you are going to use as per your video.. Kind rgds.
@oscargr_
@oscargr_ 6 жыл бұрын
niels larsen. A lot of the burning of tips is due to the fact these soldering irons do *not* have a temperature controller. In order to not be too cold when they are working (touching new cold wire and melting tin) they are getting slightly too much power. Basically, in rest the temperature goes up because nothing cools it down. I agree it is a nice feature to add.
@firefoxik75
@firefoxik75 6 жыл бұрын
Nice work! Just saying.. most of those industrial PID has also option to control solid state relay with PWM, so it will work flawlessly with any resistive heating element...
@sarahgutierrez8196
@sarahgutierrez8196 3 жыл бұрын
SO HELPFUL! Learning so much from your explanations through the code and each piece of electronic, thank you so much
@mouradmokeddem6467
@mouradmokeddem6467 3 жыл бұрын
Appreciate you efforts. much easy for students . Thank you
@sunilbelsare5697
@sunilbelsare5697 4 жыл бұрын
Great informative video, very nicely and deeply explained about each and every aspect of PID controller's functionality using Arduino. You are great explainer, this skill of yours will educate needy learners.
@hemantmundhe6662
@hemantmundhe6662 6 жыл бұрын
Thanks to you because those subject to handle to you.I am using hakko 907 temperature control iron (clone).your nest video very useful for me and my temperature control iron 907.Thanks
@shehryarshaheen7115
@shehryarshaheen7115 6 жыл бұрын
Thinx for your amazing video
@dalecallaham4847
@dalecallaham4847 3 жыл бұрын
Very nice and clear! You set a high standard.Thanks!
@zaprodk
@zaprodk 6 жыл бұрын
Nice explanation of how PID works. Keep up the good work! - Btw. is that soldering iron only 24 Watts? I would think it would be 40 or 50 watts by looking at the size.
@karlmozey1412
@karlmozey1412 6 жыл бұрын
No PID filtering this time ha..... Am just kidding.I really enjoy your tutorials.Thanks a lot.
@sermadreda399
@sermadreda399 6 жыл бұрын
great video as usual truly worth subscribing channel,one comment here when PID works shouldn't that mean that the transistor controlling ( with arduino) the MOSFET knows! the exact current required to the mosfet to produce 100 degrees ? so that no wobbling in the osi
@oscargr_
@oscargr_ 6 жыл бұрын
sermad reda. Yes and no. One way to control the temperature of an electric heater is to calculate (or find by trial and error) how much power you need to put in to the heating element to keep it at a constant temperature. At that temperature there is then an equilibrium between the amount of 'heat' you lose (flows from heater to environment) and the amount of heat you add (through electric energy). For every amount of energy you add, the system will end up at a different equilibrium temperature. But this is not very useful, see for example what happens when you blow at the hearter. You remove more heat, and the temperature drops. The advantage of PID is to automatically react to such disturbance by adding more electric power. And you are right, if the P, I, and D you should not see any wobbly output .... Unless your PID actually NEEDS to respond to a disturbance. A PID does not ' *know* '' how much energy it needs, it calculates that based on current, past and expected errors.
@vovanikotin
@vovanikotin 6 жыл бұрын
Take note about integral windup! It`s very dangerous mistake you did. Windup is ver very important. Also for AC main supply of course you need to use optocoupler. This note even more important than windup.
@milithemuffin4534
@milithemuffin4534 6 жыл бұрын
In this case it can be avoided with simple if statements. if temperature_read is within +-margin, use PID else { if (temperature_read < set_temperature-margin) {apply ful power} else {cut off the power} }
@vovanikotin
@vovanikotin 6 жыл бұрын
Mili theMUFFIN sure, thats how Electronoob did it now. check his firmware code,he aded +- 3 margin range when integral component calculates, and yes, for such application this works perfect. but for general purpose integral windup or saturation shoud be managed for all setpoint range.
@timothyfidler2088
@timothyfidler2088 6 жыл бұрын
@@milithemuffin4534 Won't work . Thermocouple falling off looks like zero temeperature. Try harder // ( Commercial thermoucouple transmitters have a high scale burn out feature to avoid this risk).
@timothyfidler2088
@timothyfidler2088 6 жыл бұрын
@@vovanikotin There is yet another algorithm called the Velocity algorithm... look it up in a digital controls hand book . This avoids wind up issue completely but creates another one... initalisation. I have used V algo in the past.
@joeljoel12428
@joeljoel12428 4 жыл бұрын
Where are you from man? You really explain very well!
@arikspaude1690
@arikspaude1690 2 жыл бұрын
Absolute legend thank you sir
@allanminers1662
@allanminers1662 3 жыл бұрын
A great presentation. congratulations on a real contribution to education. On process control
@praveenaj6183
@praveenaj6183 6 жыл бұрын
That's great but please make a video on the soldering iron version also . One doubt: how does the gear system improve the thrust while decreasing the speed in brushed drone ?? Anyway this channel is so great ( I can't refrain from saying that )
@wilvanham8911
@wilvanham8911 2 жыл бұрын
hi.. thank you for the good explanation about the PID .... it seems there is a 2 degree difference ( higher ) then the set temp... now im analyse where this offset comes from.
@ahmedladhibi6893
@ahmedladhibi6893 3 жыл бұрын
Thank you for your good explanation !
@fromtheflightdeck252
@fromtheflightdeck252 4 жыл бұрын
Very good video...easy and concise
@raymondmichael4987
@raymondmichael4987 6 жыл бұрын
With such explanations, Please make tutorials on controlling a stepper motor using arduino, as I want to open/ close a box's window depending on the temperature inside a box. Lm35 as a temperature sensor
@ultraidtech8250
@ultraidtech8250 6 жыл бұрын
kzbin.info/www/bejne/e5PEZYicr5aiapI
@TheRebornRJ
@TheRebornRJ 6 жыл бұрын
Hey! Have u got an idea of controlling the steppermotor based on the temperature? Its for my thesis :(
@MrIsuru007
@MrIsuru007 4 жыл бұрын
@@TheRebornRJ ahaha take the pid value and make a condition to powerup the motor by a signal
@henryrollins9177
@henryrollins9177 4 жыл бұрын
@@ultraidtech8250 "video not available"
@mohammedalshrief532
@mohammedalshrief532 3 жыл бұрын
kzbin.info/www/bejne/hKjYimqnl9hles0
@johannienel1
@johannienel1 2 жыл бұрын
Liked and subscribed! Great job
@sixact9647
@sixact9647 6 жыл бұрын
This is an awesome arduino projects Thank you for sharing Do you have instagram?
@igrewold
@igrewold 3 жыл бұрын
Thanks man. So PID control(er) stablized something, in this case it's temp(heat...) Interestin' probably now I know the concept behind STAC
@nasirmahmood6764
@nasirmahmood6764 4 жыл бұрын
excellent explanation man!
@AsankaLakmalMorawaka
@AsankaLakmalMorawaka 5 жыл бұрын
Great explanation, easy to understand..
@ashervalentini9115
@ashervalentini9115 2 жыл бұрын
Firstly, love the RandM time travel stuff in the background. Secondly, I have completed this tutorial. Everything works wonderfully at 6 Volts; however, when I increase my bench power supply to 12V, the Arduino begins to make a high pitch noise. I'm worried that I may fry the board. Should I perhaps use a 100+ohm resistor between the PWM pin, or am I being stupid? Thanks in advance!!! Ps. This setup has genuinely changed my practical knowledge of PID control!
@MAA567000
@MAA567000 2 жыл бұрын
Very useful and understable video .. Thank you very much for your effort
@vidhatrisamadhiya4599
@vidhatrisamadhiya4599 6 жыл бұрын
Wow again you and greatscoot at sametime it magic or other🤣🤣🤣
@ELECTRONOOBS
@ELECTRONOOBS 6 жыл бұрын
We have same schedule since we are in same timezone
@mishadhosen3135
@mishadhosen3135 4 жыл бұрын
Awesome video. But can you make a video about how to make a soldering station with these same parts.
@aizukhalid9776
@aizukhalid9776 5 жыл бұрын
the best explanations ever, thank you for the detail
@gogogowa
@gogogowa 4 жыл бұрын
Great video. About how long would it take to boil 4 cups of water using this?
@TuttleScott
@TuttleScott 6 жыл бұрын
as the guys who wrote the marlin firmware know, dont forget a sanity check to watch out for thermal runaway if something happens to the temp sensor.
@ELECTRONOOBS
@ELECTRONOOBS 6 жыл бұрын
True. Thank you very much for the tip. Keep up!
@oscargr_
@oscargr_ 6 жыл бұрын
Very good point. Don't also forget what happens when your Max is broken, or gets no power... The temperature reading go to zero. Your PID code will go to Max output power pretty soon.
@rohandhankani3962
@rohandhankani3962 6 жыл бұрын
Brilliant this is what I was looking for Thank you very much
@J_OBODAI
@J_OBODAI 6 жыл бұрын
You never disappoint.
@HSRMF
@HSRMF 6 жыл бұрын
dear.... you are a treasure....keep it up..
@RixtronixLAB
@RixtronixLAB 2 жыл бұрын
Nice video, thanks for sharing :)
@victorclaros8967
@victorclaros8967 6 жыл бұрын
Amazing work !!!!! thank you for your effort and passion !!!
@andrewmorgan5541
@andrewmorgan5541 4 жыл бұрын
Awesome work, thank you for sharing the code! I have numerous arduino projects I have waned to complete involving PID control but could not find any PID code.
@stevestickland1706
@stevestickland1706 4 жыл бұрын
Hi Electronoobs, Thanks for this excellent tutorial/demo. I have a question though - At 7:46 in your video there are several parts of the wiring that are not in your final schematic. It looks like you've added a diode on the "source" side of the Mosfet (is this connecting source to gate??, but I also see you have a negative (black) jumper looped behind the mosfet - what is that connecting to? I can't see what pin you've connected this to because the mosfet is in the way.
@RossOCarroll3301
@RossOCarroll3301 Жыл бұрын
I would also love to know this. Have you figured it out?? Would appreciate some info if you had! :D
@joao2010
@joao2010 4 жыл бұрын
It's excelent! Best explanation I've seen as well. Thank you so much!!!
@TheJavaSync
@TheJavaSync 2 жыл бұрын
Waiting for AC heater version 😃
@diazpty
@diazpty 6 жыл бұрын
Super awesome presentation thanks!
@IndunilThushara-k1r
@IndunilThushara-k1r Жыл бұрын
excellent video.
@ibrahimkhadraoui7736
@ibrahimkhadraoui7736 6 жыл бұрын
Thank you very much dude, I really appreciate this video ♥ please can you make a video about a line follower with PID
6 жыл бұрын
eres genial. gracias por tu aporte, estuve buscando esto durante mucho tiempo.
@theflyingdutchman787
@theflyingdutchman787 6 жыл бұрын
Exactly what I was looking for! A+ Teacher!!!!
@paulhendrix8599
@paulhendrix8599 6 жыл бұрын
Amazing quality!
@Rov-qc2ti
@Rov-qc2ti 6 жыл бұрын
Great tutorial Man....! Im Waiting other great video...
@retronexusnet
@retronexusnet 6 жыл бұрын
excellent videos!!! more of it please!!
@numeprenume512
@numeprenume512 Жыл бұрын
I have tested each part individually, they all work properly, yet i cant use the encoder with this application. The display starts flashing, changing fast the menu and goes crazy, every time i go near the encoder. Even if i just get very close to it. A 1M resistor from SW to ground stops the craziness but the encoder will stop working all-together. It shows the R temp, the menu, everything but the encoder. All the parts are new and tested separately. Got any idea why? Solved. 1- it was to close to the laptop and the arduino went crazy. 2- the encoder was missing the 10K pull-down from SW to GND. 3- the LCD library i was using was out of date Now it works just fine. Thank you Electronoob!
@elijak8263
@elijak8263 Жыл бұрын
I am experiencing issues with the encoder as well. I checked the connections and they seem exact. Individually, All the components work, the whole code compiles, but the rotary encoder gives no signs of life! (It works individually) Any suggestions, please?
@numeprenume512
@numeprenume512 Жыл бұрын
Update. The system works perfectly. The Arduino module had no issues being close to the laptop. It was the LCD that was sensitive to the EMI from laptop/keyboard etc... I have shielded the LCD with some grounded tin foil and everything works just fine. Including the encoder. I will mount the whole system into a metalic box for this reason. Make sure that the encoder has the 10K pull-down resistor, connected from SW pin to ground, as shown in the schematic. As well as the other two resistors. Mine was missing the SW-GND one from factory. I have also changed this:. .if(PID_value < 255) { PID_value = 255; } if(PID_value > 0) { PID_value = 0; } to this: if(PID_value < 0) { PID_value = 255; } if(PID_value > 255) { PID_value = 0; } In order to be able to use a logic gate MOSFET, without the need of a BJT. Anyway, thank you Electronoob for your time.
@lensonchian7134
@lensonchian7134 5 жыл бұрын
WOW!! Really nice !! Hmmm, what other heating element i can used? my project is to heat water and maintain its temperature.
@philipesantos3192
@philipesantos3192 6 жыл бұрын
I'm waiting for 220AC controller video
@aswinbalasubramanian5753
@aswinbalasubramanian5753 4 жыл бұрын
Hi Electronoobs, your work is simply one of the best. Where can I get a 12V 24W heater, can you please share the link to buy it online?
@Rcpasionplus
@Rcpasionplus 6 жыл бұрын
Very good video, you have the link of the digital screen that looks like an oscilloscope ?. Thank you
@ELECTRONOOBS
@ELECTRONOOBS 6 жыл бұрын
Something like this www.gearbest.com/testers-detectors/pp_437115.html?lkid=13732065
@fabioalmeida4700
@fabioalmeida4700 2 жыл бұрын
One more great video!
@3dpseurope
@3dpseurope 2 жыл бұрын
Köszönjük!
@gkeller301
@gkeller301 4 жыл бұрын
Great work on this!Does it also work with Arduino nano?
@electronic7979
@electronic7979 6 жыл бұрын
Good video
@Telboy-fv8ke
@Telboy-fv8ke 6 жыл бұрын
I have replicated your Project and all is well except i have nothing from the encoder. (I am definitely using correct sketch) Any suggestions?
@ismailoztas7052
@ismailoztas7052 4 жыл бұрын
Hi, Excellent study, clear explanation. thanks for sharing. I have a question. I wanted to control the 220V AC heater with SSR. I tried to do but I couldn't drive SSR with PWM. and Is banana required for the circuit? :)
@ifindev
@ifindev 6 жыл бұрын
Thank you!!! This is really great!!!!!!!!!!
@hebrewhammer1000
@hebrewhammer1000 6 жыл бұрын
Thank you for sharing! I learned a lot.
@niklaskonig218
@niklaskonig218 4 жыл бұрын
Very nice Video! I've got one question. Is it possible to use a Mosfet Modul (D4184) instead of the Mosfet in your Video?
@KjetilSteinerBergenBodyBooking
@KjetilSteinerBergenBodyBooking Жыл бұрын
Hi, great video and a great project. I have now made this PID Controller myself and it works really well, but I have a question/wish for you. Could you make an extended video of this project where, in addition to PID, it can also have stepwise adjustment of temperature up and down with time intervals. It had helped me tremendously. Please help me
@Stratix91
@Stratix91 6 жыл бұрын
nice nice nice, youre a real maker and im a fan:D
@dr.ayadianis_embeddedsyste3883
@dr.ayadianis_embeddedsyste3883 6 жыл бұрын
think very much , very useful video for prctice project
@TheRebornRJ
@TheRebornRJ 6 жыл бұрын
You are a hero
@fernandolozano9898
@fernandolozano9898 4 жыл бұрын
Great video
@MrDgf97
@MrDgf97 4 жыл бұрын
i kid you not electronoob, he turns himself into a pickle. he's called pickle rick. funniest shit i've ever seen
@ryancoulson2081
@ryancoulson2081 5 жыл бұрын
@Electronoobs can you explain why you decided to use a BJT to activate the MOSFET? I'm a novice when it comes to electronics, so I'm not saying you're wrong, I'm just curious what purpose it serves.
@ismaeelm7091
@ismaeelm7091 3 жыл бұрын
Dear Electronoobs. First of all, thank you for your video and code. I have a question about your codes. I do not understand why you used different values for P and I and D, I mean what would happen if you set all of them the same value. Next, I have some question about the formula which you used to calculate I and D, this is for I and this is for D I was wondering if you could talk about details of these formula. Thanks
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