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Error‐Controlled Model Order Reduction of Second Order Systems with Adaptive Choice of Shifts and Order
Author(s) -
Panzer Heiko K. F.,
Wolf Thomas,
Lohmann Boris
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410404
Subject(s) - reduction (mathematics) , realization (probability) , order (exchange) , model order reduction , mathematical optimization , mathematics , computer science , quality (philosophy) , limit (mathematics) , control theory (sociology) , algorithm , projection (relational algebra) , statistics , artificial intelligence , control (management) , physics , economics , mathematical analysis , geometry , finance , quantum mechanics
This contribution summarizes a novel approach to error‐controlled model order reduction of second order systems, i. e. a new way to find a reduced order model of specified approximation quality. To this end, starting from a particular state space realization of the model, one performs multiple reduction steps and increments the reduced model until (computationally affordable) rigorous global error bounds fall below the prescribed limit. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)