the Riccati PDE
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Optimal Finite-Horizon LQR Control for Traffic Flow via Variable Speed Limits
arXiv:2606.03632v1 Announce Type: cross Abstract: This article presents a finite-horizon linear quadratic regulator for the control of the first-order Lighthill-Whitham-Richards traffic model with a triangular fundamental diagram. The in-domain control action is realized through variable speed limits implemented as a source term in the governing hyperbolic partial differential equation.
Optimal Finite-Horizon LQR Control for Traffic Flow via Variable Speed Limits
Announce Type: replace-cross Abstract: This article presents a finite-horizon linear quadratic regulator for the control of the first-order Lighthill-Whitham-Richards traffic model with a triangular fundamental diagram. The in-domain control action is realized through variable speed limits implemented as a source term in the governing hyperbolic partial differential equation. Unlike prior studies on infinite-horizon formulations, this article develops a finite-horizon LQR framework, deriving...