Data-Based System Analysis and Control of Flat Nonlinear Systems
Abstract
Willems et al. showed that all input-output trajectories of a discrete-time linear time-invariant system can be obtained using linear combinations of time shifts of a single, persistently exciting, input-output trajectory of that system. In this paper, we extend this result to the class of discrete-time single-input single-output flat nonlinear systems. We propose a data-based parametrization of all trajectories using only input-output data. Further, we use this parametrization to solve the data-based simulation and output-matching control problems for the unknown system without explicitly identifying a model. Finally, we illustrate the main results with numerical examples.
Cite
@article{arxiv.2103.02892,
title = {Data-Based System Analysis and Control of Flat Nonlinear Systems},
author = {Mohammad Alsalti and Julian Berberich and Victor G. Lopez and Frank Allgöwer and Matthias A. Müller},
journal= {arXiv preprint arXiv:2103.02892},
year = {2021}
}
Comments
6 pages, accepted for publication in Proc. of the 2021 IEEE Conference on Decision and Control (CDC)