Balanced truncation model reduction of second-order systems

Timo Reis and Tatjana Stykel

Mathematical and Computer Modelling of Dynamical Systems, 2007, vol. 14, issue 5, 391-406

Abstract: In this paper we consider structure-preserving model reduction of second-order systems using a balanced truncation approach. Several sets of singular values are introduced for such systems, which lead to different concepts of balancing and different second-order balanced truncation methods. A comparison of these methods with other second-order balanced truncation techniques is presented. We also show that, in general, none of the existing structure-preserving balanced truncation methods for second-order systems preserves stability in the reduced models. Numerical examples are given that demonstrate the properties of the new methods.

Date: 2007
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DOI: 10.1080/13873950701844170

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