Model reduction of linear conservative mechanical systems

Arjan van der Schaft; J.E. Oeloff; J.E. Oeloff

doi:10.1109/9.53555

Model reduction of linear conservative mechanical systems

Arjan van der Schaft, J.E. Oeloff, J.E. Oeloff

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

An approach for model reduction of linear conservative or weakly damped mechanical systems is proposed. It is based on the balancing of an associated gradient system. It uses the joint knowledge of the system matrix and the input and output matrices of the Hamiltonian system. The key idea is to associate with the Hamiltonian system a gradient (or reciprocal) system

Original language	Undefined
Pages (from-to)	729-733
Number of pages	5
Journal	IEEE transactions on automatic control
Volume	35
Issue number	6
DOIs	https://doi.org/10.1109/9.53555
Publication status	Published - 1990

Keywords

IR-29959
METIS-140593

Access to Document

10.1109/9.53555

Model_reduction_-_schaft

Cite this

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title = "Model reduction of linear conservative mechanical systems",

abstract = "An approach for model reduction of linear conservative or weakly damped mechanical systems is proposed. It is based on the balancing of an associated gradient system. It uses the joint knowledge of the system matrix and the input and output matrices of the Hamiltonian system. The key idea is to associate with the Hamiltonian system a gradient (or reciprocal) system",

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AU - van der Schaft, Arjan

AU - Oeloff, J.E.

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AB - An approach for model reduction of linear conservative or weakly damped mechanical systems is proposed. It is based on the balancing of an associated gradient system. It uses the joint knowledge of the system matrix and the input and output matrices of the Hamiltonian system. The key idea is to associate with the Hamiltonian system a gradient (or reciprocal) system

KW - IR-29959

KW - METIS-140593

U2 - 10.1109/9.53555

DO - 10.1109/9.53555

M3 - Article

SN - 0018-9286

VL - 35

SP - 729

EP - 733

JO - IEEE transactions on automatic control

JF - IEEE transactions on automatic control

IS - 6

ER -