A two-sided Arnoldi algorithm with stopping criterion and MIMO selection procedure |
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| Authors: | B Salimbahrami B Lohmann T Bechtold JG Korvink |
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| Institution: | 1. Institute of Automation , University of Bremen , Otto-Hahn-Allee, NW1, 28359, Bremen, Germany salimbahrami@iat.uni-bremen.de;3. Institute of Automation , University of Bremen , Otto-Hahn-Allee, NW1, 28359, Bremen, Germany;4. Institute of Microsystems , University of Freiburg , Germany |
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| Abstract: | In this paper we introduce a two-sided Arnoldi method for the reduction of high order linear systems and we propose useful extensions, first of all a stopping criterion to find a suitable order for the reduced model and secondly, a selection procedure to significantly improve the performance in the multi-input multi-output (MIMO) case. One application is in micro-electro-mechanical systems (MEMS). We consider a thermo-electric micro thruster model, and a comparison between the commonly used Arnoldi algorithm and the two-sided Arnoldi is performed. |
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| Keywords: | Arnoldi algorithm Order reduction Krylov subspace Moment matching Large scale systems |
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