Data-Driven Control: Balancing Transformation

  Рет қаралды 11,496

Steve Brunton

Steve Brunton

6 жыл бұрын

In this lecture, we derive the balancing coordinate transformation that makes the controllability and observability Gramians equal and diagonal. This is the critical step in balanced model reduction (balanced truncation), where a handful of the most controllable and observable state directions are kept for a reduced-order model.
www.eigensteve.com/
This video was produced at the University of Washington

Пікірлер: 13
@johnsenkyle13
@johnsenkyle13 4 жыл бұрын
Excellent videos! They should let you out of teaching requirements for making these. Very helpful for giving me the big picture ideas I need as I plan approaches for neurocontrol.
@AliRashidi97
@AliRashidi97 3 жыл бұрын
Thank you steve ❤️. Love your videos . You've taught me a lot
@Esteban2812
@Esteban2812 3 жыл бұрын
That's amazing! Thank you so much.
@AntonelloVenturino
@AntonelloVenturino Ай бұрын
Thank you so much for such excellent videos! I was wondering how to use this transformation technique with unstable systems, since it is not possible to compute Gramians
@xunjiang5067
@xunjiang5067 2 жыл бұрын
thank you for your excellent lecture!
@VineetSharma143
@VineetSharma143 4 жыл бұрын
Thank You for your great effort sir , I just loved your knowledge sharing skills.
@Eigensteve
@Eigensteve 4 жыл бұрын
It's my pleasure
@minghan111
@minghan111 4 жыл бұрын
why w_c and w_o can be diagonalized simultaneously? It seems this is not generally guaranteed.
@mkschreder
@mkschreder Жыл бұрын
Steve, when is the book going to be available on kindle?
@ankitchatterjee5343
@ankitchatterjee5343 4 жыл бұрын
Sir would love to communicate with you someday.I am a current Masters Student in Control Engineering and your lectures have helped me alot.
@Eigensteve
@Eigensteve 4 жыл бұрын
Let me know if you are ever in Seattle and we can try to grab a coffee.
@ankitchatterjee5343
@ankitchatterjee5343 4 жыл бұрын
@@Eigensteve Absolutely.
@alimolavi1336
@alimolavi1336 Жыл бұрын
supper❤
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