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Robust pole placement for second-order systems: an LMI approach
Kybernetika, Tome 41 (2005) no. 1, pp. 1-14 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Based on recently developed sufficient conditions for stability of polynomial matrices, an LMI technique is described to perform robust pole placement by proportional-derivative feedback on second-order linear systems affected by polytopic or norm-bounded uncertainty. As illustrated by several numerical examples, at the core of the approach is the choice of a nominal, or central quadratic polynomial matrix.
Based on recently developed sufficient conditions for stability of polynomial matrices, an LMI technique is described to perform robust pole placement by proportional-derivative feedback on second-order linear systems affected by polytopic or norm-bounded uncertainty. As illustrated by several numerical examples, at the core of the approach is the choice of a nominal, or central quadratic polynomial matrix.
Classification : 62A10, 62F15, 93B35, 93B55, 93D09, 93E12
Keywords: polynomial matrix; second-order linear systems; LMI; pole placement; robust control 
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Henrion, Didier; Šebek, Michael; Kučera, Vladimír. Robust pole placement for second-order systems: an LMI approach. Kybernetika, Tome 41 (2005) no. 1, pp. 1-14. http://geodesic.mathdoc.fr/item/KYB_2005_41_1_a0/

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