Kybernetika 41 no. 1, 1-14, 2005

Robust pole placement for second-order systems: an LMI approach

Didier Henrion, Michael Šebek and Vladimír Kučera


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.