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Mixed µ analysis for flexible structures. Part 1, Theory

Bérard, Caroline and Magni, Jean-François and Döll, Carsten and Frapard, Benoît and Girouart, Bénédicte Mixed µ analysis for flexible structures. Part 1, Theory. (1999) In: 14th IFAC World Congress, July 1999, Beijing, China .

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This paper presents new tools for computing upper and lower bounds of µ without frequency gridding. The proposed techniques for computing lower bounds of the peaks of the µ-curve, are divided into two steps. The first one consists of finding the perturbation with minimum Frobenius norm that leads to the limit of stability. Using this result as an initialization, the second algorithm finds the perturbation with minimum sigma-max norm such that the system remains at the limit of stability. The limit of stability is considered both from a state space and from a transfer matrix point of view, which leads to two classes of techniques. The lower bounds are validated by using an upper-bound analysis technique that considers standard scaling over a range of frequencies instead of at an isolated frequency.

Item Type:Conference or Workshop Item (Paper)
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA (FRANCE)
Other partners > Matra Marconi Space (FRANCE)
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Deposited On:13 Jan 2009 11:09

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