Snapshot-driven rational interpolation of parametric systems
Abstract
Parametric data-driven modeling is relevant for many applications in which the model depends on parameters that can potentially vary in both space and time. In this paper, we present a method to obtain a global parametric model based on snapshots of the parameter space. The parameter snapshots are interpolated using the classical univariate Loewner framework and the global bivariate transfer function is extracted using a linear fractional transformation (LFT). Rank bounds for the minimal order of the global realization are also derived. The results are supported by various numerical examples.
Fields of Study & Subjects
Advanced Control Systems Optimization
Advanced Numerical Analysis Techniques
Simulation Techniques and Applications
Publication details
- Journal / source
- Automatica
- Volume
- 189
- Pages
- 113023–113023
- Publication date
- 29 April 2026
- Language
- EN