Data-Driven Controller Design via Finite-Horizon Dissipativity
Systems and Control
2021-06-09 v3 Systems and Control
Abstract
Given one open-loop measured trajectory of a single-input single-output discrete-time linear time-invariant system, we present a framework for data-driven controller design for closed-loop finite-horizon dissipativity. First, we parametrize all closed-loop trajectories using the given data of the plant and a model of the controller. We then provide an approach to validate the controller by verifying closed-loop dissipativity in the standard feedback loop based on this parametrization. We use these conditions to design controllers leading to closed-loop dissipativity based on a quadratic matrix inequality feasibility problem. Finally, the results are illustrated with a simulation example.
Cite
@article{arxiv.2101.06156,
title = {Data-Driven Controller Design via Finite-Horizon Dissipativity},
author = {Nils Wieler and Julian Berberich and Anne Koch and Frank Allgöwer},
journal= {arXiv preprint arXiv:2101.06156},
year = {2021}
}