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Model order reduction for delay systems by iterative interpolation
Author(s) -
Alfke Dominik,
Feng Lihong,
Lombardi Luigi,
Antonini Giulio,
Benner Peter
Publication year - 2020
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6554
Subject(s) - interpolation (computer graphics) , reduction (mathematics) , algorithm , mathematical optimization , transfer function , greedy algorithm , computer science , greedy randomized adaptive search procedure , model order reduction , function (biology) , heuristic , point (geometry) , selection (genetic algorithm) , mathematics , engineering , artificial intelligence , motion (physics) , projection (relational algebra) , geometry , evolutionary biology , electrical engineering , biology
Adaptive algorithms for computing the reduced‐order model of time‐delay systems (TDSs) are proposed in this work. The algorithms are based on interpolating the transfer function at multiple expansion points and greedy iterations for selecting the expansion points. Theℒ ∞‐error of the reduced transfer function is used as the criterion for choosing the next new expansion point. One heuristic greedy algorithm and one algorithm based on the error system and adaptive sub‐interval selection are developed. Results on four TDSs with tens of delays from electromagnetic applications are presented and show the efficiency of the proposed algorithms.