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Henrion, Didier; Šebek, Michael; Kučera, Vladimír

Robust pole placement for second-order systems: an LMI approach. (English) Zbl 1249.93169

Kybernetika 41, No. 1, 1-14 (2005).
Summary: 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.

Cited in 4 Documents

MSC:

93E12 Identification in stochastic control theory
93B55 Pole and zero placement problems
62F15 Bayesian inference

Keywords:

polynomial matrix; second-order linear system; LMI; pole placement; robust control

Software:

SeDuMi; SeDuMi Interface; Polynomial Toolbox
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\textit{D. Henrion} et al., Kybernetika 41, No. 1, 1--14 (2005; Zbl 1249.93169)
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