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Data-Based Control of Feedback Linearizable Systems

delete2023-11-01
delete13
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OA
AI
M
Mohammad Alsalti *
V
Victor G. Lopez
J
Julian Berberich
F
Frank Allgöwer
M
Matthias A. Müller
DOI:10.1109/TAC.2023.3249289delete
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Abstract

Abstract

En 中文
In this article, we present an extension of Willems' Fundamental Lemma to the class of multi-input-multi-output discrete-time feedback linearizable nonlinear systems, thus providing a data-based representation of their input-output trajectories. Two sources of uncertainty are considered. First, the unknown linearizing input is inexactly approximated by a set of basis functions. Second, the measured output data is contaminated by additive noise. Furthermore, we propose an approach to approximate the solution of the data-based simulation and output matching problems, and show that the difference from the true solution is bounded. Finally, the results are illustrated on an example of a fully actuated double inverted pendulum.
Keywords:
Data-driven control
feedback linearization
non-linear systems

Journal

IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
IF:
7
Papers:
1.3W
Citations:
6.7W

Organization

U
University of Stuttgart
Scholars:
1.1W
Papers: 9.4K
Citations: 1.3W
L
Leibniz University Hannover
Scholars:
1.0W
Papers: 8.5K
Citations: 1.1W