IEEE Transactions on Automatic Control, Vol.55, No.2, 508-514, 2010
A Gramian-Based Approach to Model Reduction for Uncertain Systems
The technical note considers a problem of model reduction for a class of uncertain systems with structured norm bounded uncertainty. The technical note introduces controllability and observability Gramians in terms of certain parameterized algebraic Riccati inequalities. Based on these Gramians, three model reduction approaches are investigated for the underlying uncertain systems.
Keywords:Linear fractional transformation;linear matrix inequality;model reduction;uncertain systems