A symbolic LFT approach for robust flutter analysis of high-order models

Andrea Iannelli, Andres Marcos, Rocco Bombardieri, Rauno Cavallaro

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

1 Citation (Scopus)
64 Downloads (Pure)


The paper proposes an alternative methodology
to build Linear Fractional Transformation (LFT) models of
uncertain aeroelastic systems described by Fluid-Structure
Interaction (FSI) solvers with the aim of studying flutter with
the analysis technique from robust control. Two main issues
can be identified for the fulfillment of this task. On the one
hand, there is the difficult reconciliation between sources of
physical uncertainty (well distinguishable in the original highorder
system) and the abstracted uncertainties (defined in the
reduced-order size representation used for the robust analyses).
On the other hand, the large size of the resulting LFT model
can prevent the application of robust analysis techniques. The
solution proposed here consists of a symbolic LFT algorithm
applied at FSI solver level, which guarantees the connection
between the physical uncertainties and the parameters captured
by the LFT. It also alleviates the final size of the LFT by
exploiting the modal-oriented approach taken in introducing
the uncertainties. Application of the framework using an
unconventional aircraft layout as case study is finally discussed.
Original languageEnglish
Title of host publication2019 European Control Conference
ISBN (Electronic)978-3-907144-00-8
Publication statusE-pub ahead of print - 15 Aug 2019


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