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@gchenfc gchenfc commented Oct 29, 2025

A series of notebooks to walk through time-varying LQG.

  1. LQR
  2. Kalman Filter gains + LQR = LQG
  3. Extending to Nonlinear: TV-LQG

@dellaert
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Hey @gchenfc , you do know about the existing LQR notebooks, right?

@gchenfc
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gchenfc commented Oct 30, 2025

Oh I did not know about those! Biggest comment I think is that I think both the LQR notebook and iLQR notebook should show how to extract the gain matrices from the bayes net, but maybe I just missed that (I'm on mobile atm).

My notebook so far only has the LQR part (I only got through "part 1" so far), so will probably get axed according to your suggestion to start out referencing the iLQR & LQR notebooks and proceeding from there.

@TingWeiWong
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TingWeiWong commented Oct 31, 2025

Hi Gerry, awesome blog post (https://gtsam.org/2019/11/07/lqr-control.html) on LQR! There’s a small typo in the graph. $$Ax_1 + Bu_1 = X_x$$ should be $$Ax_1 + Bu_1 = X_2$$ instead.

image

@TingWeiWong
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Screenshot 2025-11-01 at 10 26 08 PM

Rendering error for bold $\bm x, \bm u$?

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4 participants