English

Tracking optimal feedback control under uncertain parameters

Optimization and Control 2024-02-02 v1

Abstract

Optimal control problems of tracking type for a class of linear systems with uncertain parameters in the dynamics are investigated. An affine tracking feedback control input is obtained by considering the minimization of an energy-like functional depending on a finite ensemble of training/sample parameters. It is computed from the nonnegative definite solution of an associated differential Riccati equation. Simulations are presented showing the tracking performance of the computed input for trained as well as untrained parameters.

Keywords

Cite

@article{arxiv.2402.00526,
  title  = {Tracking optimal feedback control under uncertain parameters},
  author = {Philipp A. Guth and Karl Kunisch and Sergio S. Rodrigues},
  journal= {arXiv preprint arXiv:2402.00526},
  year   = {2024}
}

Comments

28 pages, 8 figures