Data-Based System Analysis and Control of Flat Nonlinear Systems

2021/03/04 by Alsalti, Mohammad, Berberich, Julian, Lopez, Victor G. +2 · 2 citations
#FOS: Electrical engineering #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.2103.02892

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.

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• Data-Driven Analysis and Predictive Control of Descriptor Systems with Application to Power and Water Networks
• Two-component controller design to safeguard data-driven predictive control

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