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An extension of the structured singular value to nonlinear systems with application to robust flutter analysis

Research output: Contribution to conferencePaper

Original languageEnglish
Number of pages20
DateAccepted/In press - 16 Jan 2019
DatePublished (current) - 5 Apr 2019
Event5th CEAS Conference on Guidance, Navigation & Control - Milan, Italy
Duration: 3 Apr 20195 Apr 2019


Conference5th CEAS Conference on Guidance, Navigation & Control
Abbreviated titleEuroGNC19
Internet address


The paper discusses an extension of m (or structured singular value), a
well established technique for the study of linear systems subject to structured uncertainty, to nonlinear polynomial problems. Robustness is a multifaceted concept in the nonlinear context, and in this work the point of view of bifurcation theory is assumed. The latter is concerned with the study of qualitative changes of the steady state solutions of a nonlinear system, so-called bifurcations. The practical goal motivating the work is to assess the effect of modeling uncertainties on flutter when considering the system as nonlinear. Flutter is a dynamic instability prompted by an adverse coupling between aerodynamic and elastic forces. Specifically, the onset of flutter in nonlinear systems is generally associated with Limit Cycle Oscillations emanating from a Hopf bifurcation point. Leveraging m and its complementary modeling paradigm, namely Linear Fractional Transformation, this work proposes an approach to compute margins to the occurrence of Hopf bifurcations for uncertain nonlinear systems. An application to the typical section case study with linear unsteady aerodynamic and hardening nonlinearities in the structural parameters will be presented to demonstrate the applicability of the approach.


5th CEAS Conference on Guidance, Navigation & Control

Abbreviated titleEuroGNC19
Duration3 Apr 20195 Apr 2019
Web address (URL)
Degree of recognitionInternational event

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