Probabilistic Guarantees for Nonlinear Safety-Critical Optimal Control
Optimization and Control
2023-03-14 v1 Robotics
Systems and Control
Systems and Control
Abstract
Leveraging recent developments in black-box risk-aware verification, we provide three algorithms that generate probabilistic guarantees on (1) optimality of solutions, (2) recursive feasibility, and (3) maximum controller runtimes for general nonlinear safety-critical finite-time optimal controllers. These methods forego the usual (perhaps) restrictive assumptions required for typical theoretical guarantees, e.g. terminal set calculation for recursive feasibility in Nonlinear Model Predictive Control, or convexification of optimal controllers to ensure optimality. Furthermore, we show that these methods can directly be applied to hardware systems to generate controller guarantees on their respective systems.
Cite
@article{arxiv.2303.06258,
title = {Probabilistic Guarantees for Nonlinear Safety-Critical Optimal Control},
author = {Prithvi Akella and Wyatt Ubellacker and Aaron D. Ames},
journal= {arXiv preprint arXiv:2303.06258},
year = {2023}
}