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

Sir, just now I have watched this video lecture. Thank you for explaining with the simple terms. I have a question. Why the state should be zero for a observer or other design ? Can you please explain me?

Hey Brian, would it be possible to continue this spacecraft example but using MPC? I'd appreciate it greatly. Love.

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

Excellent explanation

Holy shit, my professor went through all the mathematics that I could'nt even track the concepts. Thank you for this video

THAT'S SO HELPFUL!!!!

this is the funniest video I've ever seen about something related with engineering

Hi Brian, thanks for your lecture on LQR. You and Chris have done a great Job on this. Please my question is on the other diagonal that makes my matrix positive definite or semi positive definite in case of R., How can I choose members in case for nxn matrix, for n>=3. its easier for 2x2 to just pick any number and repeat it , just like zero if I am using an identity matrix, but for n>3 is my question. Secondly please can you do a video also for MPC?

As always, great video Brian. I have a question in regard to LQR. Where is the difference between LQR and MPC in a practical and a mathematical way?

Where cow?

It's scam, there is no cow in code in github

where is cow in code in github

Great video! Tank u so much👍

The issue I come across is choosing "optional' values for Q and R. I prefer pole placement for SISO systems. It is easy to determine the response and effort. I usually want to place the poles on the negative real axis. I can move the poles to the left ( more negative ) until I hit one of two limits. 1 output saturation as mentioned. However, usually the problem is feed back resolution. Placing the closed loop pole on the negative real axis does not guarantee that there will be no over shoot. The closed loop zeros can cause over shoot if the closed loop zeros are closer to the origin than the closed loop polse. Sometimes the closed loop zeros must be placed too. LQR has an advantage for MIMO systems. If the Q matrix is chosen correctly, the closed loop zeros will be close to the close loop poles almost canceling them out and improving performance.

Obrigado! IFSP- Eng. Controle e Automação-São Paulo Brasil!

thank you sir for the great explanation

Hi, I believe the Q is positive semidefinite while R is positive definite, no? or am I wrong here?

Great and simple explanation. Thank you. I hope I will so good and make great videos too.

why in LQR, we dont need to introduce Kr for reference error any more?

Hi, Brian your videos about control theory is great , I hope you will talk about MPC controller :)

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

really awesome explanation, thank you!

What a wonderful lecture. Thank you so much

I wish Brian create more tutorials...he is the best.

Thank you sir.

Nice video...helps a lot to get a clear explanation of optimal control and how to actually use it in a realistic manner.

but.. doesn't spacemen use solar energy?

I loveeeeee this video.. havent seen a more beautiful and better explanation. Thanks

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.

perfect explanation!

What an amazing explanation!

i'm confused, everyone keep saying the LQR works with kalman filter i thought it should account for state uncertainty in someway, but apparently it doesn't?

Just brilliant!

it seems like the more accurate you construct the state form of the UFO, the more accurate the LQR is. But how could we construct such a precise differential equation for a real system. Thanks

Thank you for the explanation ! You made it very easy to understand :)

these series of videos are amazing & well described. cheers.

can Q be zero for same state I dont care about?

Just found this gem. Where DID the idea of beaming up cows come from, I wonder? Either way, a fun application :-)

Brian, I love you

Wow perfectly explained

Fantastic video!

Ya ouedi rou7 rak raba7 denya w akhira n'challah

Excellent illustration

Really good video, content and form, both great! Very enjoyable

does it only work for "unforced" systems? I haven't seen a single tutorial on how to apply, say, a step reference using this, and when I tried it didn't really work.

Wow optimal control is amazing!! Way cooler than PID

beautiful