Derivation and implementation of continuous-time finite-horizon Linear Quadratic Regulator
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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
- Version 1.1.0.0 (43.4 KB)
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View License on GitHub
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. |
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| 1.0.0.0 |
