Robust stabilization of nonlinear systems: The LMI approach.
Šiljak, D.D., Stipanović, D.M. (2000)
Mathematical Problems in Engineering
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Robust stabilization of nonlinear systems: The LMI approach.
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Robust pole placement for second-order systems: an LMI approach
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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.