Output regulation via input-output data
Optimization and Control
2026-05-22 v1 Systems and Control
Systems and Control
Abstract
From a multi-input-multi-output (MIMO) discrete-time linear system, we collect input-output data affected by noise in the form of an unknown exosignal and, from these data points (without knowledge of the system model), we design a feedback controller that asymptotically annihilates the effect of that exosignal on the output. This amounts to solving an output regulation problem purely from input-output data, for MIMO linear systems. The design of the controller corresponds to a semidefinite program and is pursued on a suitable auxiliary system. Such design carries over from the auxiliary system to the original one by a rigorous examination of the relation between the solutions of the two systems.
Keywords
Cite
@article{arxiv.2605.22562,
title = {Output regulation via input-output data},
author = {Andrea Bisoffi and Wenjie Liu and Zhongjie Hu and Claudio De Persis},
journal= {arXiv preprint arXiv:2605.22562},
year = {2026}
}