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Balanced truncation for temporal- and spatial-LPV interconnected systems based on the full block S-procedure
Publikationstyp
Journal Article
Publikationsdatum
2019-10-03
Sprache
English
Institut
Enthalten in
Volume
92
Issue
10
Start Page
2396
End Page
2407
Citation
International Journal of Control 92 (10): 2396-2407 (2019-10-03)
Publisher DOI
Scopus ID
This paper presents a technique for model order reduction of exponentially stable temporal- and spatial-LPV (Linear Parameter Varying) interconnected systems represented in linear fractional transformation form, based on the application of full block S-procedure. The first stage of the proposed technique is to balance the system. The balancing transformation is applied to the nominal system; the reduced system is connected with the same scheduling block as the original system. The reduced models preserve exponential stability and the spatial structure of the system. The proposed approach simplifies the problem of model order reduction for LPV systems in the sense of avoiding gridding over the scheduling parameter range. The results are illustrated with the application to an experimentally identified spatially interconnected model of an actuated beam. In addition, extended reachability and observability matrices are presented.
Schlagworte
Full block S-procedure
LPV/LFT systems
model order reduction
multidimensional systems
spatially distributed systems