Computation of the robustness margin with the skewed μ tool |
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Authors: | G Ferreres V Fromion |
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Affiliation: | aOnera-Cert (Dera), 2 Av. Edouard Belin, BP 4025, 31055 Toulouse Cedex, France;bEcole Supérieure d'Electricité — Service Automatique/LSS, Plateau du Moulon, 91192 Gif-sur-Yvette, France |
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Abstract: | Methods for the direct computation of the maximal structured singular value (s.s.v.) over the frequency range require a recursive application of μ analysis. Introducing the v measure as a skewed s.s.v., we point out the problem can be solved by a single application of the v tool. A mixed v upper bound is then proposed, which provides a direct solution to the problem. The relationship between the mixed μ and v upper bounds is moreover clarified. The nonnegativity of the sensitivity of the mixed μ upper bound is finally obtained as a corollary. |
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Keywords: | Structured singular value Robustness analysis Robust control |
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