On the Equivalence Between Functionally Affine LPV State-Space Representations and LFT Models
We propose a transformation algorithm for a class of Linear Parameter-Varying (LPV) systems with functional affine dependence on parameters, where the system matrices depend affinely on nonlinear functions of the scheduling variable, into Linear Fractional Transformation (LFT) systems. The transformation preserves input-output behavior and minimality, and the uncertainity block of the resulting LFT system is linear in the scheduling variables.
Authors
- Guillaume Mercère (ORCID: https://orcid.org/0000-0001-9224-4894)
- Ziad Alkhoury
- Mihály Petreczky (ORCID: https://orcid.org/0000-0003-2264-5689)
Institutions
- Centre National de la Recherche Scientifique (FR)
- École Nationale Supérieure de Mécanique et d'Aérotechnique (FR)
- Université de Lille (FR)
- Université de Poitiers (FR)
- CY Cergy Paris Université (FR)
- École Centrale de Lille (FR)
Publication Details
- Journal
- IEEE Control Systems Letters
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1109/lcsys.2025.3584839
- Citations
- 1
- Primary Topic
- Real-time simulation and control systems
- Type
- article
- Field-Weighted Citation Impact
- 1.21