Direct data-driven interpolation and approximation of linear parameter-varying system trajectories
By: Chris Verhoek, Ivan Markovsky, Roland Tóth
Potential Business Impact:
Fixes broken paths in moving machines.
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.
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