A Gramian-based Approach to Model Reduction for Uncertain Systems

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Conference Proceeding
Proceedings of the 46th IEEE Conference on Decision and Control, 2007, NA pp. 4373 - 4378
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The paper considers the problem of model reduction for a class of uncertain systems with structured norm bounded uncertainty. The paper introduces controllability and observability Gramians in terms of certain parameterized algebraic Riccati inequalities. This enables a balanced truncation model reduction procedure for uncertain systems to be presented. Error bounds for this model reduction procedure are derived. The paper also investigates Hinfin model reduction for uncertain systems. The solution to this problem is shown to involve constructing the underlying Gramians satisfying a certain rank constrain
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