Practical exponential stability of a robust data-driven nonlinear predictive control scheme
Abstract
We provide theoretical guarantees for recursive feasibility and practical exponential stability of the closed-loop system of a feedback linearizable nonlinear system when controlled by a robust data-driven nonlinear predictive control scheme. This technical report serves as a supplementary material to our recent paper "Data-driven Nonlinear Predictive Control for Feedback Linearizable Systems". The arguments shown in this report follow similar steps to those for the LTI case, since feedback linearizable systems are linear in transformed coordinates. However, the proof was suitably adapted to match the nonlinear setting under consideration, and the differences are emphasized throughout the proof.
Cite
@article{arxiv.2204.01150,
title = {Practical exponential stability of a robust data-driven nonlinear predictive control scheme},
author = {Mohammad Alsalti and Victor G. Lopez and Julian Berberich and Frank Allgöwer and Matthias A. Müller},
journal= {arXiv preprint arXiv:2204.01150},
year = {2023}
}
Comments
This technical report serves as a supplementary material to our recent paper "Data-driven Nonlinear Predictive Control for Feedback Linearizable Systems"