Direct data-driven interpolation and approximation of linear parameter-varying system trajectories
Year: 2025
Type: preprint
Abstract: We consider the problem of estimating missing values in trajectories of linear parameter-varying (LPV) systems. We solve this interpolation problem for the class of shifted-affine LPV systems. Conditions for the existence and uniqueness of solutions are given and a direct data-driven algorithm for its computation is presented, i.e., the data-generating system is not given by a parametric model but is implicitly specified by data. We illustrate the applicability of the proposed solution on illustrative examples of a mass-spring-damper system with exogenous and endogenous parameter variation.
Source: arXiv (Cornell University)
Authors: Verhoek, Chris, Markovsky, Ivan, Tóth, Roland
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7075994172
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