Controller synthesis for input-state data with measurement errors
Systems and Control
2024-05-21 v2 Systems and Control
Dynamical Systems
Optimization and Control
Abstract
We consider the problem of designing a state-feedback controller for a linear system, based only on noisy input-state data. We focus on input-state data corrupted by measurement errors, which, albeit less investigated, are as relevant as process disturbances in applications. For energy and instantaneous bounds on these measurement errors, we derive linear matrix inequalities for controller design where the one for the energy bound is equivalent to robust stabilization of all systems consistent with the noisy data points via a common Lyapunov function.
Cite
@article{arxiv.2402.04157,
title = {Controller synthesis for input-state data with measurement errors},
author = {Andrea Bisoffi and Lidong Li and Claudio De Persis and Nima Monshizadeh},
journal= {arXiv preprint arXiv:2402.04157},
year = {2024}
}