Algebra-geometric approach for the model reduction of large-scale multivariable systems

L.S. Shieh; Y.T. Tsay

doi:10.1049/ip-d.1984.0004

Algebra-geometric approach for the model reduction of large-scale multivariable systems

IEE Proceedings D Control Theory and Applications ◽

10.1049/ip-d.1984.0004 ◽

1984 ◽

Vol 131 (1) ◽

pp. 23 ◽

Cited By ~ 17

Author(s):

L.S. Shieh ◽

Y.T. Tsay

Keyword(s):

Model Reduction ◽

Large Scale ◽

Geometric Approach ◽

Multivariable Systems

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A model reduction method in large scale dynamical systems using an extended-rational block Arnoldi method

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01521-0 ◽

2021 ◽

Author(s):

M. A. Hamadi ◽

K. Jbilou ◽

A. Ratnani

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Large Scale ◽

Reduction Method ◽

Arnoldi Method ◽

Block Arnoldi

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Model Reduction Based Approximation of the Output Controllability Gramian in Large-Scale Networks

IEEE Transactions on Control of Network Systems ◽

10.1109/tcns.2020.3000694 ◽

2020 ◽

Vol 7 (4) ◽

pp. 1778-1788

Author(s):

Giacomo Casadei ◽

Carlos Canudas-de-Wit ◽

Sandro Zampieri

Keyword(s):

Model Reduction ◽

Large Scale ◽

Controllability Gramian ◽

Output Controllability ◽

Large Scale Networks

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Continued-fraction model-reduction technique for multivariable systems

Proceedings of the Institution of Electrical Engineers ◽

10.1049/piee.1974.0091 ◽

1974 ◽

Vol 121 (5) ◽

pp. 393 ◽

Cited By ~ 12

Author(s):

M.R. Calfe ◽

M. Healey

Keyword(s):

Model Reduction ◽

Continued Fraction ◽

Reduction Technique ◽

Multivariable Systems ◽

Model Reduction Technique

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Model Reduction and Clusterization of Large-Scale Bidirectional Networks

IEEE Transactions on Automatic Control ◽

10.1109/tac.2013.2275891 ◽

2014 ◽

Vol 59 (1) ◽

pp. 48-63 ◽

Cited By ~ 53

Author(s):

Takayuki Ishizaki ◽

Kenji Kashima ◽

Jun-ichi Imura ◽

Kazuyuki Aihara

Keyword(s):

Model Reduction ◽

Large Scale ◽

Bidirectional Networks

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Application of projection-based model reduction to finite-element plate models for two-dimensional traveling waves

Journal of Intelligent Material Systems and Structures ◽

10.1177/1045389x16679295 ◽

2016 ◽

Vol 28 (14) ◽

pp. 1886-1904 ◽

Cited By ~ 6

Author(s):

Vijaya VN Sriram Malladi ◽

Mohammad I Albakri ◽

Serkan Gugercin ◽

Pablo A Tarazaga

Keyword(s):

Finite Element ◽

Model Reduction ◽

Traveling Waves ◽

Large Scale ◽

Fe Model ◽

Plate Model ◽

Reduction Techniques ◽

State Frequency ◽

Scale Down ◽

The Stability

A finite element (FE) model simulates an unconstrained aluminum thin plate to which four macro-fiber composites are bonded. This plate model is experimentally validated for single and multiple inputs. While a single input excitation results in the frequency response functions and operational deflection shapes, two input excitations under prescribed conditions result in tailored traveling waves. The emphasis of this article is the application of projection-based model reduction techniques to scale-down the large-scale FE plate model. Four model reduction techniques are applied and their performances are studied. This article also discusses the stability issues associated with the rigid-body modes. Furthermore, the reduced-order models are utilized to simulate the steady-state frequency and time response of the plate. The results are in agreement with the experimental and the full-scale FE model results.

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