Model reduction for LPV systems based on approximate modal decomposition

Autor: Tamás Luspay, Tamás Péni, István Gőzse, Zoltán Szabó, Bálint Vanek
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: International Journal for Numerical Methods in Engineering
Popis: The paper presents a novel model order reduction technique for large-scale linear parameter varying (LPV) systems. The approach is based on decoupling the original dynamics into smaller dimensional LPV subsystems that can be independently reduced by parameter varying reduction methods. The decomposition starts with the construction of a modal transformation that separates the modal subsystems. Hierarchical clustering is applied then to collect the dynamically similar modal subsystems into larger groups. The subsystems formed from the groups are then independently reduced. This approach substantially differs from most of the previously proposed LPV model reduction techniques, since it performs manipulations on the LPV model and not on a set of linear time-invariant (LTI) models defined at fixed scheduling parameter values. Therefore the model interpolation, which is the most challenging part of most reduction techniques, is avoided. The applicability of the developed algorithm is thoroughly investigated and demonstrated by numerical case studies.
26 pages, 11 figures, 1 table
Databáze: OpenAIRE