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arXiv · 2110.11735

Kernel-based models for system analysis

Henk J. van Waarde·Rodolphe Sepulchre
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Abstract

This paper introduces a computational framework to identify nonlinear input-output operators that fit a set of system trajectories while satisfying incremental integral quadratic constraints. The data fitting algorithm is thus regularized by suitable input-output properties required for system analysis and control design. This biased identification problem is shown to admit the tractable solution of a regularized least squares problem when formulated in a suitable reproducing kernel Hilbert space. The kernel-based framework is a departure from the prevailing state-space framework. It is motivated by fundamental limitations of nonlinear state-space models at combining the fitting requirements of data-based modeling with the input-output requirements of system analysis and physical modeling.

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Henk J. van Waarde, Rodolphe Sepulchre. 2021-10-22. Kernel-based models for system analysis. https://arxiv.org/abs/2110.11735

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