Premium
Stability preserving model reduction for linearly coupled linear time‐invariant systems
Author(s) -
Benner Peter,
Grundel Sara,
Mlinarić Petar
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610397
Subject(s) - lti system theory , bounded function , control theory (sociology) , reduction (mathematics) , linear system , mathematics , invariant (physics) , stability (learning theory) , computer science , mathematical analysis , geometry , control (management) , artificial intelligence , machine learning , mathematical physics
We develop a stability preserving model reduction method for linearly coupled linear time‐invariant (LTI) systems. The method extends the work of Monshizadeh et al. for multi‐agent systems with identical LTI agents. They propose using Bounded Real Balanced Truncation to preserve a sufficient condition for stability of the coupled system. Here, we extend this idea to arbitrary linearly coupled LTI systems using the sufficient condition for stability introduced by Reis and Stykel. The model reduction error bounds for this method also follow from results of Reis and Stykel, which allows the adaptive choice of reduced orders. We demonstrate the method on Reis's and Stykel's coupled string‐beam example. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)