Continuous-Time, Finite-Horizon LQR

Derivation and implementation of continuous-time finite-horizon Linear Quadratic Regulator

https://github.com/MatthewPeterKelly/Continuous_Finite_LQR

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A tutorial for using matlab to stabilize a trajectory of a non-linear system, using a finite-horizon continuous-time Linear Quadratic Regulator (LQR). The function trajectoryLqr.m solves the finite-horizon continuous-time LQR problem for a time-varying plant. This is used to generate a trajectory tracking controller. Includes multiple example files to show usage.
The image shows an estimation of the backward-reachable set of states along the trajectory which can be stabilized to the target along the trajectory of choice using the finite-horizon continuous-time LQR controller.

Cite As

Matthew Kelly (2026). Continuous-Time, Finite-Horizon LQR (https://github.com/MatthewPeterKelly/Continuous_Finite_LQR), GitHub. Retrieved .

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux

Versions that use the GitHub default branch cannot be downloaded

Version Published Release Notes Action
1.1.0.0

improved title, summary, and image.

1.0.0.0

To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.