What Is Linear Quadratic Regulator (LQR) Optimal Control? | State Space, Part 4

The Linear Quadratic Regulator (LQR)
LQR is a type of optimal control that is based on state space representation. In this video, we introduce this topic at a very high level so that you walk away with a general understanding of the control problem and can build on this understanding when you are studying the math behind it. This video will cover what it means to be optimal and how to think about the LQR problem. At the end I’ll show you some examples in MATLAB that I think will help you gain a little intuition about LQR.

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[BrianBDouglas]

Hey everyone, thanks for watching this video! If you have any questions or comments that you'd like me to see, please leave them under this comment so that I get notified and can respond. Cheers!

[justinhendrick]

"That's how you rotate to pick up a cow" is a sentence I never thought I'd hear.

[ChristopherLum]

As usual, Brian Douglas creates another great video! I especially like the easy to understand example at 2:46 😉.

[yashrunwal]

Hey Brian, what an absolutely mind boggling video. I can now literally explain my Professor what LQR control is all about, thanks to you. Just brilliant! Who says only actors can be superstars? You are one. Thanks a lot.

[LeeWhitcher]

Your dedication to the animation is something to behold! You even animated the magnitude of the thrusters 😂

[nabilmohammad]

This is the best explanation of LQR I have ever seen. Thank you Brian. :)

[blablablaa]

I've got a test in two days and your new videos on the topic are like a gift from god 👏🏼

[branislavjeremic]

These kind of videos can have the universities close their doors, and be left with certification only or distant learning. I mean who needs professors' lectures after this, really. :) I have been familiar with pole placement and LQR for years, but really wanted to find the video explaining it in simple words for my own sake. The whole series is brilliant, I am leaving comment of gratefulness to this one in particular, for the reason I stumbled on it firstly. Great job is a diminutive here.

[GustavoRinaldi]

I'd like to thank Brian for that fantastic take on the LQR explanation. I had understood the math behind it but I hadn't get the intuition I should have gotten while developing my LQR model and now I feel really ready to give it a shot.

[satishone]

Dear Brian,
It is one of the best explanation. Thank you for your time and effort.

[NadimC]

I knew it was brian the moment this video started, you are truly an amazing educator, some of your videos built my foundation in control!

[SuperNaicker]

Brilliant class. I hope I learned control systems from a professor like you. Thanks.

[krystoflis]

Excellent introduction to LQR. Thank you Brian

[hkroniAcademy]

Wowww. Man I am just amazed. Really been following your videos for a long time. You are awesome!!!!

[energyeve]

I haven't finished the video yet but I found exactly what I was looking for. Thank you for sharing this in such an intuitive way to understand what I am doing haha. Keep shining :D

[erikasantuccio]

It was really nice to see your videos, they were quite helpful as refresh and also maybe to understand better what I studied some years ago. Many thanks!

[tongvanngoc_gv-t]

This is definitely a great and simple explanation I've seen so far

[darylfishback-duran]

Great video! Glad for another reference for LQR intuition and usage!

[Seboymogabeny]

watched all 4 parts.. keep up the good work ;)!

[Engineermehwishayub]

Thank you so much. Your lecture really helped me understanding the control system basics.