A Model-Free Data-Driven Algorithm for Continuous-Time Control

Fuente: arXiv
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Main Authors: Bowerfind, Sean R., Kirchner, Matthew R., Hewer, Gary A., Robinson, D. Reed, Chen, Paula, Farahmandi, Alireza, Estabridis, Katia
Format: Preprint
Published: 2025
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author Bowerfind, Sean R.
Kirchner, Matthew R.
Hewer, Gary A.
Robinson, D. Reed
Chen, Paula
Farahmandi, Alireza
Estabridis, Katia
author_facet Bowerfind, Sean R.
Kirchner, Matthew R.
Hewer, Gary A.
Robinson, D. Reed
Chen, Paula
Farahmandi, Alireza
Estabridis, Katia
contents Presented is an algorithm to synthesize an infinite-horizon LQR optimal feedback controller for continuous-time systems. The algorithm does not require knowledge of the system dynamics, but instead uses only a finite-length sampling of (possibly suboptimal) input-output data. The algorithm is based on a constrained optimization problem that enforces a necessary condition on the dynamics of the optimal value function along an arbitrary trajectory. This paper presents the derivation as well as shows examples applied to both linear and nonlinear systems inspired by air vehicles.
format Preprint
id arxiv_https___arxiv_org_abs_2501_17400
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Model-Free Data-Driven Algorithm for Continuous-Time Control
Bowerfind, Sean R.
Kirchner, Matthew R.
Hewer, Gary A.
Robinson, D. Reed
Chen, Paula
Farahmandi, Alireza
Estabridis, Katia
Optimization and Control
Systems and Control
Presented is an algorithm to synthesize an infinite-horizon LQR optimal feedback controller for continuous-time systems. The algorithm does not require knowledge of the system dynamics, but instead uses only a finite-length sampling of (possibly suboptimal) input-output data. The algorithm is based on a constrained optimization problem that enforces a necessary condition on the dynamics of the optimal value function along an arbitrary trajectory. This paper presents the derivation as well as shows examples applied to both linear and nonlinear systems inspired by air vehicles.
title A Model-Free Data-Driven Algorithm for Continuous-Time Control
topic Optimization and Control
Systems and Control
url https://arxiv.org/abs/2501.17400