Setpoint control of bilinear systems from noisy data
Systems and Control
2025-08-05 v1 Systems and Control
Dynamical Systems
Optimization and Control
Abstract
We consider the problem of designing a controller for an unknown bilinear system using only noisy input-states data points generated by it. The controller should achieve regulation to a given state setpoint and provide a guaranteed basin of attraction. Determining the equilibrium input to achieve that setpoint is not trivial in a data-based setting and we propose the design of a controller in two scenarios. The design takes the form of linear matrix inequalities and is validated numerically for a Cuk converter.
Cite
@article{arxiv.2404.03594,
title = {Setpoint control of bilinear systems from noisy data},
author = {Andrea Bisoffi and Dominiek M. Steeman and Claudio De Persis},
journal= {arXiv preprint arXiv:2404.03594},
year = {2025}
}