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Optimal Finite-Horizon LQR Control for Traffic Flow via Variable Speed Limits

Advanced Manufacturing

Summary

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. Unlike prior studies on infinite-horizon formulations, this article develops a finite-horizon LQR framework, deriving a space and time varying state feedback function for hyperbolic PDEs.

Why It Matters

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Key Facts

  • SectorAdvanced Manufacturing
  • Market
  • ImpactMedium (50/100)
  • SignalResearch

Original Sources

arXiv Systems & Control ↗ https://arxiv.org/abs/2606.03632

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