Comparative study on techniques of model order reduction using rational Krylov subspace method

Saiduzzaman, Md.; Islam, Md Shafiqul; Uddin, Mohammad Monir; Gani, Mohammad Osman

doi:10.1080/09720502.2022.2133224

Cited by 3 publications

(1 citation statement)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…ROM should not lose both the SOSS structure and physical exposition of (1), but a converse suggestion was found in previously suggested techniques for SOSSs [5,6]. Afterwards, contrivances like modified Arnoldi, second order balanced truncation (SOBT) and moment matching (based on Krylov‐subspaces) [3,5,7–13] etc. retain second order structure in ROM.…”

Section: Introductionmentioning

confidence: 89%

Discrete Time Limited Gramians Model Order Curtailment for Unstable Second Orderly‐Structured Systems

Ali,

Haider,

Mokhtar

et al. 2024

IEEJ Transactions Elec Engng

View full text Add to dashboard Cite

In this manuscript, sundry model order Curtailment (MOC) techniques for discrete time frequency limited applications of unstable second orderly‐structured systems (SOSSs) are suggested. Discrete‐time limited frequency gramians (DLFGs) for generalized SOSSs and limited frequency discrete time algebraic Lyapunov equations (LFDALEs) are developed. For unstable SOSS, LFDALEs are unsolvable and the Curtailment process is halted. First technique fragments discrete time unstable SOSS into stable and unstable snippets and balanced truncation process is solicited to stable fragment. The acquired reduced order model (ROM) for stable snippet is added with unstable one. Second order structure in ROM gets lost as well as added unstable dynamics degrade the ROM performance using this approach. Then, two structure retaining limited frequency second order balanced truncation (SOBT) techniques for unstable SOSSs are suggested. Bernoulli feedback stabilization stratagem is adopted and then DLFGs are found for stabilized system from LFDALEs. Furthermore, gramians are fragmented in to position and velocity snippets which give rise to structure retention in ROM. Finally, ROM in desired frequency hiatus is gleaned by solicitation of SOBT. © 2024 Institute of Electrical Engineer of Japan and Wiley Periodicals LLC.

show abstract

Section: Introductionmentioning

confidence: 89%