Frequency-Weighted Model Reduction with Applications to Structured Models

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Henrik Sandberg and Richard M. Murray
To appear, 2007 American Control Conference (ACC)

In this paper, we generalize a recently proposed method for model reduction of linear systems to the frequencyweighted case. The method uses convex optimization and can be used both with sample data and exact models. We also derive simple a priori bounds on the frequency-weighted error. We combine the method with a rank-minimization heuristic, to approximate multi-inputÂmulti-output systems. We also present two applications  environment compensation and simpli�cation of interconnected models  where we argue the proposed methods are useful.