English

Efficient model-based reinforcement learning for approximate online optimal

Systems and Control 2017-07-25 v1 Machine Learning Optimization and Control

Abstract

In this paper the infinite horizon optimal regulation problem is solved online for a deterministic control-affine nonlinear dynamical system using the state following (StaF) kernel method to approximate the value function. Unlike traditional methods that aim to approximate a function over a large compact set, the StaF kernel method aims to approximate a function in a small neighborhood of a state that travels within a compact set. Simulation results demonstrate that stability and approximate optimality of the control system can be achieved with significantly fewer basis functions than may be required for global approximation methods.

Keywords

Cite

@article{arxiv.1502.02609,
  title  = {Efficient model-based reinforcement learning for approximate online optimal},
  author = {Rushikesh Kamalapurkar and Joel A. Rosenfeld and Warren E. Dixon},
  journal= {arXiv preprint arXiv:1502.02609},
  year   = {2017}
}
R2 v1 2026-06-22T08:25:45.928Z